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Physics 101 Mechanics
October 2021
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Physics 101 Mechanics Q&A Archive of October 13, 2021

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October 13 of 2021

You have independently verified that the mass is 760.9 g and the angle is 7.9°. The mechanical energy at Point 1 is J, at Point 2 is J, and at point 3 is J.

Determine the drag coefficient assuming that the resistive force is proportional to the square of the bucket's speed

\( \mathrm{~ o n ~ a ~ w p e ~ t h u t ~ p o e n ~ o v e r ~ t ~ p u l l y ~ a n} \) \( \mathrm{~ t o ~ t h e ~ t e p ~ e f ~ t h e ~ t h e v u} \) in yo \( 04 \mathrm{~ e n d ~ d h a t ~ o f ~ t h e ~ p e r} \) \( \mathrm{~ - ~ O n ~ a ~ c e p y ~ o f ~ t h e ~ d u g r a n , ~ d e r} \) the…

If the frequency of the fundamental is 330, the frequency of the an octave above the fundamental in ‘just’ temperament (just intonation) in Hz would be..

If the output of speaker A is 0.044 times the pressure of speaker B, what is the pressure difference in terms of dB?

If the output of speaker A is 3.98 times the pressure of speaker B, what is the pressure difference in terms of dB?

If a sound is 79,579 times the intensity of the threshold of hearing, what is the amount of gain in terms of db?

Your dog is chasing a bird in your backyard. It runs 10m to the north, then turns, and runs 20m toward the west. Find the distance travelled by the dog. What is its displacement?

In the motion of a projectile freely under gravity, its (a) Total energy is conserved (b) Momentum is conserved (c) Energy and momentum both are conserved (d) None is conserved

If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will (a) Remain the same (b) Be doubled (c) Be quadrupled (d) Be halved

A projectile fired with initial velocity u at some angle ? has a range R . If the initial velocity be doubled at the same angle of projection, then the range will be (a) 2R (b) R / 2 (c) R (d) 4R

A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is (g = 10 ms –2 ) [EAMCET (Engg.) 2000] (a) 2.5 ms –1 (b) 5 ms –1 (c) 10 ms –1 (d) 20 ms –1

A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground (a) One after the other (b) Simultaneously (c) Depends on the observer (d) None of the above

In the motion of a projectile freely under gravity, its (a) Total energy is conserved (b) Momentum is conserved (c) Energy and momentum both are conserved (d) None is conserved

If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will (a) Remain the same (b) Be doubled (c) Be quadrupled (d) Be halved

A projectile fired with initial velocity u at some angle ? has a range R . If the initial velocity be doubled at the same angle of projection, then the range will be (a) 2R (b) R / 2 (c) R (d) 4R

A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is (g = 10 ms –2 ) [EAMCET (Engg.) 2000] (a) 2.5 ms –1 (b) 5 ms –1 (c) 10 ms –1 (d) 20 ms –1

A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground (a) One after the other (b) Simultaneously (c) Depends on the observer (d) None of the above

A man goes 10m towards North, then 20m towards east then displacement is [KCET 1999; JIPMER 1999; AFMC 2003] (a) 22.5m (b) 25m (c) 25.5m (d) 30m

The speed of a body moving with uniform acceleration is u. This speed is doubled while covering a distance S. When it covers an additional distance S, its speed would become

If the velocity of a particle is (10 + 2t ) m/s, then the average acceleration of the particle between 2s and 5s is

A body has speed V, 2V and 3V in first 1/3 of distance S, seconds 1/3 of S and third 1/3 of S respectively. Its average speed will be

A car travels a distance S on a straight road in two hours and then returns to the starting point in the next three hours. Its average velocity is (a) S / 5 (b) 2S / 5 (c) S / 2 ? S / 3 (d) None of the above

The dimensions of pressure is equal to [AIEEE 2002] (a) Force per unit volume (b) Energy per unit volume (c) Force (d) Energy

Which of the two have same dimensions [AIEEE 2002] (a) Force and strain (b) Force and stress (c) Angular velocity and frequency (d) Energy and strain

A thin copper wire of length l metre increases in length by 2% when heated through 10ºC. What is the percentage increase in area when a square copper sheet of length l metre is heated through 10ºC (a) 4% (b) 8% (c) 16% (d) None of the above

If there is a positive error of 50% in the measurement of velocity of a body, then the error in the measurement of kinetic energy is (a) 25% (b) 50% (c) 100% (d) 125%

If L ? 2.331cm, B ? 2.1 cm , then L + B = [DCE 2003] (a) 4.431 cm (b) 4.43 cm (c) 4.4 cm (d) 4 cm

A body projected vertically upwards with a velocity u returns to the starting point in 4 seconds. If g = 10 m/sec², the value of u is [KCET 1999] (a) 5 m/sec (b) 10 m/sec (c) 15 m/sec (d) 20 m/sec

A body thrown vertically upwards with an initial velocity u reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is (a) 1 : 1 (b) 11 : 1 (c) 1 : 2 (d) 1 : 11

A cricket ball is thrown up with a speed of 19.6 ms –1 . The maximum height it can reach is [Kerala PMT 2002] (a) 9.8 m (b) 19.6 m (c) 29.4 m (d) 39.2 m

A body falls from a height h = 200m (at New Delhi). The ratio of distance travelled in each 2 sec during t = 0 to t = 6 second of the journey is [BHU 2003; CPMT 2004] (a) 1 : 4 : 9 (b) 1 : 2 : 4 (c) 1 : 3 : 5 (d) 1 : 2 : 3

A body falling from a high Minaret travels 40 meters in the last 2 seconds of its fall to ground. Height of Minaret in meters is (take g = 10m/s^2) [MP PMT 2002] (a) 60 (b) 45 (c) 80 (d) 50

The best pitcher on a baseball team throws fastballs at a speed of 160km/h. The balls are thrown horizontally at an average height of 1.6m above the ground. given that the distance between the pitcher and the home plate is 18.4m how far has the ball fallen by the time it passes over the home…

A body freely falling from the rest has a velocity ‘v’ after it falls through a height ‘h’. The distance it has to fall down for its velocity to become double, is (a) 2h (b) 4h (c) 6h (d) 8h

A body falls from rest, its velocity at the end of first second is (g = 32ft /sec) (a) 16 ft / sec (b) 32 ft / sec (c) 64 ft / sec (d) 24 ft / sec

An object is projected upwards with a velocity of 100 m / s . It will strike the ground after (approximately) [NCERT 1981; AFMC 1995] (a) 10 sec (b) 20 sec (c) 15 sec (d) 5 sec

A body A is projected upwards with a velocity of 98 m / s . The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after (a) 6 sec (b) 8 sec (c) 10 sec (d) 12 sec

A stone falls from a balloon that is descending at a uniform rate of 12 m / s . The displacement of the stone from the point of release after 10 sec is (a) 490 m (b) 510 m (c) 610 m (d) 725 m

An object start sliding on a frictionless inclined plane and from same height another object start falling freely [RPET 2000] (a) Both will reach with same speed (b) Both will reach with same acceleration (c) Both will reach in same time

A body, thrown upwards with some velocity reaches the maximum height of 50 m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of [BHU 2004] (a) 100 m (b) 200 m (c) 300 m (d) 400 m

If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three second, the time of the travel is [Pb. PMT 2004; MH CET 2003] (a) 6 sec (b) 5 sec (c) 4 sec (d) 3 sec

Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible) (a) Heavy ball (b) Light ball (c) Both simultaneously (d) Will depend upon the density of the balls

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B

If a body is thrown up with the velocity of 15 m/s then maximum height attained by the body is (g = 10 m/s 2 )

A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth second of its motion is

A balloon is rising vertically up with a velocity of 29 ms –1 . A stone is dropped from it and it reaches the ground in 10 seconds. The height of the balloon when the stone was dropped from it is (g = 9.8 ms –2 )

A force vector F1 points due east and has a magnitude of 200 newtons. A second force F2 is added to F1. The resultant of the two vectors has a magnitude of 400 newtons and points along the east/west line. Find the magnitude and direction of F2. Note that there are two answers.

If a bubble with a volume (V) was formed at the bottom, How much would be the volume of the bubble once it reach the water surface?

If the length of the second's hand in a stop clock is 3 cm the angular velocity and linear velocity of the tip is

What happens to the centripetal acceleration of a revolving body if you double the orbital speed v and half the angular velocity ? (a) The centripetal acceleration remains unchanged (b) The centripetal acceleration is halved (c) The centripetal acceleration is doubled (d) The centripetal…

In case of uniform circular motion which of the following physical quantity do not remain constant (a) Speed (b) Momentum (c) Kinetic energy (d) Mass

A particle is moving in a circle of radius R with constant speed v, if radius is double then its centripetal force to keep the same speed should be [BCECE 2005] (a) Doubled (b) Halved (c) Quadrupled (d) Unchanged

Two bodies of equal masses revolve in circular orbits of radii 1 R and 2 R with the same period. Their centripetal forces are in the ratio

A 500 kg crane takes a turn of radius 50 m with velocity of 36 km/hr. The centripetal force is (a) 1200 N (b) 1000 N (c) 750 N (d) 250 N

A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then maximum velocity with which the car can move is [MH CET 2004] (a) 7 m/s (b) 14 m/s (c) 8 m/s (d) 12 m/s

The acceleration of a train travelling with speed of 400 m/s as it goes round a curve of radius 160 m, is

An object is moving in a circle of radius 100 m with a constant speed of 31.4 m/s. What is its average speed for one complete revolution

If the radius of curvature of the path of two particles of same masses are in the ratio 1 : 2, then in order to have constant centripetal force, their velocity, should be in the ratio of

When a body moves in a circular path, no work is done by the force since, [KCET 2004] (a) There is no displacement (b) There is no net force (c) Force and displacement are perpendicular to each other (d) The force is always away from the centre

A proton of mass 1.6 × 10–27 kg goes round in a circular orbit of radius 0.10 m under a centripetal force of 4 × 10–13 N. then the frequency of revolution of the proton is about [Kerala (Med.) 2002] (a) 0.08 × 108 cycles per sec (b) 4 × 108 cycles per sec (c) 8 × 108 cycles per sec (d)…

An athlete completes one round of a circular track of radius 10 m in 40 sec. The distance covered by him in 2 min 20 sec is (a) 70 m (b) 140 m (c) 110 m (d) 220 m

The coefficient of friction between the tyres and the road is 0.25. The maximum speed with which a car can be driven round a curve of radius 40 m without skidding is (assume g = 10 ms–2) [Kerala (Med.) 2002] (a) 40 ms–1 (b) 20 ms–1 (c) 15 ms–1 (d) 10 ms–1

If a cycle wheel of radius 4 m completes one revolution in two seconds. Then acceleration of a point on the cycle wheel will be

If a cyclist moving with a speed of 4.9 m/s on a level road can take a sharp circular turn of radius 4 m, then coefficient of friction between the cycle tyres and road is

A ball of mass 0.1 Kg. is whirled in a horizontal circle of radius 1 m. by means of a string at an initial speed of 10 R.P.M. Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. The new speed is [MP PMT 2001] (a) 5 r.p.m. (b) 10 r.p.m. (c) 20…

A scooter is going round a circular road of radius 100 m at a speed of 10 m/s. The angular speed of the scooter will be (a) 0.01 rad/s (b) 0.1 rad/s (c) 1 rad/s (d) 10 rad/s

The maximum velocity (in ms–1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is (a) 60 (b) 30 (c) 15 (d) 25

A cyclist goes round a circular path of circumference 34.3 m in root(22) sec. the angle made by him, with the vertical, will be [MH CET 2000] (a) 45o (b) 40 o (c) 42 o (d) 48 o

The angular velocity of a wheel is 70 rad/sec. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is [MH CET 2000] (a) 70 m/s (b) 35 m/s (c) 30 m/s (d) 20 m/s

The maximum speed of a car on a road–turn of radius 30 m, if the coefficient of friction between the tyres and the road is 0.4, will be [CBSE PMT 2000] (a) 10.84 m/sec (b) 9.84 m/sec (c) 8.84 m/sec (d) 6.84 m/sec

A 100 kg car is moving with a maximum velocity of 9 m/s across a circular track of radius 30 m. The maximum force of friction between the road and the car is [Pb. PMT 2000] (a) 1000 N (b) 706 N (c) 270 N (d) 200 N

body moves with constant angular velocity on a circle. Magnitude of angular acceleration (a) r?2 (b) Constant (c) Zero (d) None of the above

A stone is tied to one end of a string 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stone (a) 493 cm/s2 (b) 720 cm/s2 (c) 860 cm/s2 (d) 990 cm/s2

An aeroplane is flying with a uniform speed of 100 m/s along a circular path of radius 100 m. the angular speed of the aeroplane will be [KCET 2000] (a) 1 rad/sec (b) 2 rad/sec (c) 3 rad/sec (d) 4 rad/sec

For the beam shown in Figure 2 2.1. Draw the shear force and the bending moment diagrams. 2.2. Determine the following: 2.2.1 The maximum shear force, 2.2.2 The maximum bending moments, \( (1) \) 2.2.3 The point(s) of contra-flexure. (8) [30] Figure 2

For the beam shown in Figure 1 , 1.1 Draw the shear force and bending moment diagrams, 1.2 Determine the maximum shear force and bending moment, 1.3 Calculate the point(s) of contraflexure (PCF). Figure 1

The T-section short column shown in the figure 1 below carries an eccentric load \( P \) of \( 100 \mathrm{kN} \) at the position indicated. 1.1 Calculate the maximum tensile and compressive stresses induced in the column. 1.2 Plot the stress distribution diagram and determine the position of…

Question 2: Shear Stresses in Beams A built-up beam of box section is simply supported over a span of \( 3 \mathrm{~m} \) and carries a point load of \( 15 \mathrm{kN} \) at \( 1 \mathrm{~m} \) from the end. The plate is attached to the channel sections by rivets pitched at \( 100 \mathrm{~mm}…

10. Calculate the deceleration of a snow boarder going up a \( 5.0^{\circ} \), slope assuming the coefficient of friction for waxed wood on wet snow. The result of Exercise \( 5.9 \) may be useful, but be careful to consider the fact that the snow boarder is going uphill. Explicitly show how…

5. (a) If half of the weight of a small \( 1.00 \times 10^{3} \mathrm{~kg} \) utility truck is supported by its two drive wheels, what is the magnitude of the maximum acceleration it can achieve on dry concrete? (b) Will a metal cabinet lying on the wooden bed of the truck slip if it…

7. Consider the \( 65.0 \)-kg ice skater being pushed by two others shown in Figure 5.19. (a) Find the direction and magnitude of \( \mathbf{F}_{\text {tot }} \), the total force exerted on her by the others, given that the magnitudes \( F_{1} \) and \( F_{2} \) are \( 26.4 \mathrm{~N} \) and…

5. (a) If half of the weight of a small \( 1.00 \times 10^{3} \mathrm{~kg} \) utility truck is supported by its two drive wheels, what is the magnitude of the maximum acceleration it can achieve on dry concrete? (b) Will a metal cabinet lying on the wooden bed of the truck slip if it…

What is the maximum frictional force on the knee joint of a person who supports 66.0 kg of her mass on that knee?

You've attached a bungee cord to a wagon and are using it to pull your little sister while you take her for a jaunt. The bungee's unstretched length is 1.3 m, and you happen to know that your little sister has a mass of 22.4 kg and the wagon has a mass of 7.65 kg. Crossing a street, you…

What is drag force

A mass m = 79 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 16 m and finally a flat straight section at the same height as the center of the loop (16 m off the ground). Since the mass would not make it around the loop if released from the height…

an aluminum sphere of radius of 10.0cm is heated from 100.0 °f to 200.0°f, find volume change

A frictionless pulley with zero mass is attached to the ceiling. Mass M2 = 0.182 kg is being accelerated downward with 1.44 m/s2. Calculate the mass m1.

Pretend you fall into a hole bored completely through the earth. Discounting friction and rotational friction and rotation effects, rank, from most to least, at positions a, b c, and d your a) speed of fall, and b) acceleration of fall

Two ropes in a vertical plane exert equal-magnitude forces on hanging weight but pull with an angle of 75.1 between them. The magnitude of the pull that each rope exerts if their resultant pull is 443 N is equal to ___ N.

You have independently verified that the mass is 760.9 g and the angle is 7.9°. The mechanical energy at Point 1 is J, at Point 2 is J, and at point 3 is J.

Determine the drag coefficient assuming that the resistive force is proportional to the square of the bucket's speed

\( \mathrm{~ o n ~ a ~ w p e ~ t h u t ~ p o e n ~ o v e r ~ t ~ p u l l y ~ a n} \) \( \mathrm{~ t o ~ t h e ~ t e p ~ e f ~ t h e ~ t h e v u} \) in yo \( 04 \mathrm{~ e n d ~ d h a t ~ o f ~ t h e ~ p e r} \) \( \mathrm{~ - ~ O n ~ a ~ c e p y ~ o f ~ t h e ~ d u g r a n , ~ d e r} \) the…

If the frequency of the fundamental is 330, the frequency of the an octave above the fundamental in ‘just’ temperament (just intonation) in Hz would be..

If the output of speaker A is 0.044 times the pressure of speaker B, what is the pressure difference in terms of dB?

Your dog is chasing a bird in your backyard. It runs 10m to the north, then turns, and runs 20m toward the west. Find the distance travelled by the dog. What is its displacement?

In the motion of a projectile freely under gravity, its (a) Total energy is conserved (b) Momentum is conserved (c) Energy and momentum both are conserved (d) None is conserved

If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will (a) Remain the same (b) Be doubled (c) Be quadrupled (d) Be halved

A projectile fired with initial velocity u at some angle ? has a range R . If the initial velocity be doubled at the same angle of projection, then the range will be (a) 2R (b) R / 2 (c) R (d) 4R

A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is (g = 10 ms –2 ) [EAMCET (Engg.) 2000] (a) 2.5 ms –1 (b) 5 ms –1 (c) 10 ms –1 (d) 20 ms –1

A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground (a) One after the other (b) Simultaneously (c) Depends on the observer (d) None of the above

In the motion of a projectile freely under gravity, its (a) Total energy is conserved (b) Momentum is conserved (c) Energy and momentum both are conserved (d) None is conserved

If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will (a) Remain the same (b) Be doubled (c) Be quadrupled (d) Be halved

A projectile fired with initial velocity u at some angle ? has a range R . If the initial velocity be doubled at the same angle of projection, then the range will be (a) 2R (b) R / 2 (c) R (d) 4R

A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is (g = 10 ms –2 ) [EAMCET (Engg.) 2000] (a) 2.5 ms –1 (b) 5 ms –1 (c) 10 ms –1 (d) 20 ms –1

A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground (a) One after the other (b) Simultaneously (c) Depends on the observer (d) None of the above

A man goes 10m towards North, then 20m towards east then displacement is [KCET 1999; JIPMER 1999; AFMC 2003] (a) 22.5m (b) 25m (c) 25.5m (d) 30m

The speed of a body moving with uniform acceleration is u. This speed is doubled while covering a distance S. When it covers an additional distance S, its speed would become

If the velocity of a particle is (10 + 2t ) m/s, then the average acceleration of the particle between 2s and 5s is

A body has speed V, 2V and 3V in first 1/3 of distance S, seconds 1/3 of S and third 1/3 of S respectively. Its average speed will be

A car travels a distance S on a straight road in two hours and then returns to the starting point in the next three hours. Its average velocity is (a) S / 5 (b) 2S / 5 (c) S / 2 ? S / 3 (d) None of the above

The dimensions of pressure is equal to [AIEEE 2002] (a) Force per unit volume (b) Energy per unit volume (c) Force (d) Energy

Which of the two have same dimensions [AIEEE 2002] (a) Force and strain (b) Force and stress (c) Angular velocity and frequency (d) Energy and strain

A thin copper wire of length l metre increases in length by 2% when heated through 10ºC. What is the percentage increase in area when a square copper sheet of length l metre is heated through 10ºC (a) 4% (b) 8% (c) 16% (d) None of the above

If there is a positive error of 50% in the measurement of velocity of a body, then the error in the measurement of kinetic energy is (a) 25% (b) 50% (c) 100% (d) 125%

If L ? 2.331cm, B ? 2.1 cm , then L + B = [DCE 2003] (a) 4.431 cm (b) 4.43 cm (c) 4.4 cm (d) 4 cm

A body projected vertically upwards with a velocity u returns to the starting point in 4 seconds. If g = 10 m/sec², the value of u is [KCET 1999] (a) 5 m/sec (b) 10 m/sec (c) 15 m/sec (d) 20 m/sec

A body thrown vertically upwards with an initial velocity u reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is (a) 1 : 1 (b) 11 : 1 (c) 1 : 2 (d) 1 : 11

A cricket ball is thrown up with a speed of 19.6 ms –1 . The maximum height it can reach is [Kerala PMT 2002] (a) 9.8 m (b) 19.6 m (c) 29.4 m (d) 39.2 m

A body falls from a height h = 200m (at New Delhi). The ratio of distance travelled in each 2 sec during t = 0 to t = 6 second of the journey is [BHU 2003; CPMT 2004] (a) 1 : 4 : 9 (b) 1 : 2 : 4 (c) 1 : 3 : 5 (d) 1 : 2 : 3

A body falling from a high Minaret travels 40 meters in the last 2 seconds of its fall to ground. Height of Minaret in meters is (take g = 10m/s^2) [MP PMT 2002] (a) 60 (b) 45 (c) 80 (d) 50

The best pitcher on a baseball team throws fastballs at a speed of 160km/h. The balls are thrown horizontally at an average height of 1.6m above the ground. given that the distance between the pitcher and the home plate is 18.4m how far has the ball fallen by the time it passes over the home…

A body freely falling from the rest has a velocity ‘v’ after it falls through a height ‘h’. The distance it has to fall down for its velocity to become double, is (a) 2h (b) 4h (c) 6h (d) 8h

A body falls from rest, its velocity at the end of first second is (g = 32ft /sec) (a) 16 ft / sec (b) 32 ft / sec (c) 64 ft / sec (d) 24 ft / sec

An object is projected upwards with a velocity of 100 m / s . It will strike the ground after (approximately) [NCERT 1981; AFMC 1995] (a) 10 sec (b) 20 sec (c) 15 sec (d) 5 sec

A body A is projected upwards with a velocity of 98 m / s . The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after (a) 6 sec (b) 8 sec (c) 10 sec (d) 12 sec

A stone falls from a balloon that is descending at a uniform rate of 12 m / s . The displacement of the stone from the point of release after 10 sec is (a) 490 m (b) 510 m (c) 610 m (d) 725 m

An object start sliding on a frictionless inclined plane and from same height another object start falling freely [RPET 2000] (a) Both will reach with same speed (b) Both will reach with same acceleration (c) Both will reach in same time

A body, thrown upwards with some velocity reaches the maximum height of 50 m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of [BHU 2004] (a) 100 m (b) 200 m (c) 300 m (d) 400 m

If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three second, the time of the travel is [Pb. PMT 2004; MH CET 2003] (a) 6 sec (b) 5 sec (c) 4 sec (d) 3 sec

Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible) (a) Heavy ball (b) Light ball (c) Both simultaneously (d) Will depend upon the density of the balls

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B

If a body is thrown up with the velocity of 15 m/s then maximum height attained by the body is (g = 10 m/s 2 )

A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth second of its motion is

A balloon is rising vertically up with a velocity of 29 ms –1 . A stone is dropped from it and it reaches the ground in 10 seconds. The height of the balloon when the stone was dropped from it is (g = 9.8 ms –2 )

A force vector F1 points due east and has a magnitude of 200 newtons. A second force F2 is added to F1. The resultant of the two vectors has a magnitude of 400 newtons and points along the east/west line. Find the magnitude and direction of F2. Note that there are two answers.

If a bubble with a volume (V) was formed at the bottom, How much would be the volume of the bubble once it reach the water surface?

If the length of the second's hand in a stop clock is 3 cm the angular velocity and linear velocity of the tip is

What happens to the centripetal acceleration of a revolving body if you double the orbital speed v and half the angular velocity ? (a) The centripetal acceleration remains unchanged (b) The centripetal acceleration is halved (c) The centripetal acceleration is doubled (d) The centripetal…

In case of uniform circular motion which of the following physical quantity do not remain constant (a) Speed (b) Momentum (c) Kinetic energy (d) Mass

A particle is moving in a circle of radius R with constant speed v, if radius is double then its centripetal force to keep the same speed should be [BCECE 2005] (a) Doubled (b) Halved (c) Quadrupled (d) Unchanged

Two bodies of equal masses revolve in circular orbits of radii 1 R and 2 R with the same period. Their centripetal forces are in the ratio

A 500 kg crane takes a turn of radius 50 m with velocity of 36 km/hr. The centripetal force is (a) 1200 N (b) 1000 N (c) 750 N (d) 250 N

A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then maximum velocity with which the car can move is [MH CET 2004] (a) 7 m/s (b) 14 m/s (c) 8 m/s (d) 12 m/s

The acceleration of a train travelling with speed of 400 m/s as it goes round a curve of radius 160 m, is

An object is moving in a circle of radius 100 m with a constant speed of 31.4 m/s. What is its average speed for one complete revolution

If the radius of curvature of the path of two particles of same masses are in the ratio 1 : 2, then in order to have constant centripetal force, their velocity, should be in the ratio of

When a body moves in a circular path, no work is done by the force since, [KCET 2004] (a) There is no displacement (b) There is no net force (c) Force and displacement are perpendicular to each other (d) The force is always away from the centre

A proton of mass 1.6 × 10–27 kg goes round in a circular orbit of radius 0.10 m under a centripetal force of 4 × 10–13 N. then the frequency of revolution of the proton is about [Kerala (Med.) 2002] (a) 0.08 × 108 cycles per sec (b) 4 × 108 cycles per sec (c) 8 × 108 cycles per sec (d)…

An athlete completes one round of a circular track of radius 10 m in 40 sec. The distance covered by him in 2 min 20 sec is (a) 70 m (b) 140 m (c) 110 m (d) 220 m

The coefficient of friction between the tyres and the road is 0.25. The maximum speed with which a car can be driven round a curve of radius 40 m without skidding is (assume g = 10 ms–2) [Kerala (Med.) 2002] (a) 40 ms–1 (b) 20 ms–1 (c) 15 ms–1 (d) 10 ms–1

If a cycle wheel of radius 4 m completes one revolution in two seconds. Then acceleration of a point on the cycle wheel will be

If a cyclist moving with a speed of 4.9 m/s on a level road can take a sharp circular turn of radius 4 m, then coefficient of friction between the cycle tyres and road is

A ball of mass 0.1 Kg. is whirled in a horizontal circle of radius 1 m. by means of a string at an initial speed of 10 R.P.M. Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. The new speed is [MP PMT 2001] (a) 5 r.p.m. (b) 10 r.p.m. (c) 20…

A scooter is going round a circular road of radius 100 m at a speed of 10 m/s. The angular speed of the scooter will be (a) 0.01 rad/s (b) 0.1 rad/s (c) 1 rad/s (d) 10 rad/s

The maximum velocity (in ms–1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is (a) 60 (b) 30 (c) 15 (d) 25

A cyclist goes round a circular path of circumference 34.3 m in root(22) sec. the angle made by him, with the vertical, will be [MH CET 2000] (a) 45o (b) 40 o (c) 42 o (d) 48 o

The angular velocity of a wheel is 70 rad/sec. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is [MH CET 2000] (a) 70 m/s (b) 35 m/s (c) 30 m/s (d) 20 m/s

The maximum speed of a car on a road–turn of radius 30 m, if the coefficient of friction between the tyres and the road is 0.4, will be [CBSE PMT 2000] (a) 10.84 m/sec (b) 9.84 m/sec (c) 8.84 m/sec (d) 6.84 m/sec

A 100 kg car is moving with a maximum velocity of 9 m/s across a circular track of radius 30 m. The maximum force of friction between the road and the car is [Pb. PMT 2000] (a) 1000 N (b) 706 N (c) 270 N (d) 200 N

body moves with constant angular velocity on a circle. Magnitude of angular acceleration (a) r?2 (b) Constant (c) Zero (d) None of the above

A stone is tied to one end of a string 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stone (a) 493 cm/s2 (b) 720 cm/s2 (c) 860 cm/s2 (d) 990 cm/s2

An aeroplane is flying with a uniform speed of 100 m/s along a circular path of radius 100 m. the angular speed of the aeroplane will be [KCET 2000] (a) 1 rad/sec (b) 2 rad/sec (c) 3 rad/sec (d) 4 rad/sec

For the beam shown in Figure 2 2.1. Draw the shear force and the bending moment diagrams. 2.2. Determine the following: 2.2.1 The maximum shear force, 2.2.2 The maximum bending moments, \( (1) \) 2.2.3 The point(s) of contra-flexure. (8) [30] Figure 2

For the beam shown in Figure 1 , 1.1 Draw the shear force and bending moment diagrams, 1.2 Determine the maximum shear force and bending moment, 1.3 Calculate the point(s) of contraflexure (PCF). Figure 1

The T-section short column shown in the figure 1 below carries an eccentric load \( P \) of \( 100 \mathrm{kN} \) at the position indicated. 1.1 Calculate the maximum tensile and compressive stresses induced in the column. 1.2 Plot the stress distribution diagram and determine the position of…

10. Calculate the deceleration of a snow boarder going up a \( 5.0^{\circ} \), slope assuming the coefficient of friction for waxed wood on wet snow. The result of Exercise \( 5.9 \) may be useful, but be careful to consider the fact that the snow boarder is going uphill. Explicitly show how…

7. Consider the \( 65.0 \)-kg ice skater being pushed by two others shown in Figure 5.19. (a) Find the direction and magnitude of \( \mathbf{F}_{\text {tot }} \), the total force exerted on her by the others, given that the magnitudes \( F_{1} \) and \( F_{2} \) are \( 26.4 \mathrm{~N} \) and…

What is the maximum frictional force on the knee joint of a person who supports 66.0 kg of her mass on that knee?

You've attached a bungee cord to a wagon and are using it to pull your little sister while you take her for a jaunt. The bungee's unstretched length is 1.3 m, and you happen to know that your little sister has a mass of 22.4 kg and the wagon has a mass of 7.65 kg. Crossing a street, you…

What is drag force

A mass m = 79 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 16 m and finally a flat straight section at the same height as the center of the loop (16 m off the ground). Since the mass would not make it around the loop if released from the height…

an aluminum sphere of radius of 10.0cm is heated from 100.0 °f to 200.0°f, find volume change

A frictionless pulley with zero mass is attached to the ceiling. Mass M2 = 0.182 kg is being accelerated downward with 1.44 m/s2. Calculate the mass m1.

Pretend you fall into a hole bored completely through the earth. Discounting friction and rotational friction and rotation effects, rank, from most to least, at positions a, b c, and d your a) speed of fall, and b) acceleration of fall

Two ropes in a vertical plane exert equal-magnitude forces on hanging weight but pull with an angle of 75.1 between them. The magnitude of the pull that each rope exerts if their resultant pull is 443 N is equal to ___ N.