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Physics 101 Mechanics Q&A Archive of November 29, 2021

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November 29 of 2021

NTBC-CT15: FISHINQ ROD-WEXHT OF TWO PIECES. An angler balances a fisking rod on her finger as shown. If she were to cut the rod along the dashed line, weeld the ucight of the picce on the left-hand side be greater Dhan, Los flusu, or equal to the weight of the piece on the right-hand…
MTEE-ERT14; THMER EcuAL Fopces Ampued To A RrcThuote-Tonout. and 5 ikt at \( 45^{*} \) angles to the vertical as shown whele \( F \) i cob lacioconally. Esplain how you Ctititinined your anseer. Foplalin hou vou determined your anvwer. Fivplain how you datermingd yeur amswer.
Figure 1) shows a syringe filled with 20°C olive oil. Radius = 1.0 cm Radius = 1.0 mm 2.0 m/s 4.0 cm Part A What is the gauge pressure in atm at point P, where the needle meets the wider body of the syringe? The pressure at the exit of the needle is 1.0 atm.
A 0.150-kg mass is undergoing simple harmonic motion at the end of a horizontal spring with a force constant, k = 300 N/m. At t = 0 the mass is 0.0120 m from its equilibrium position, and it is observed to have a velocity of +0.300 m/s.Find:a) angular frequency, the phase angle, and amplitude…
1. Estimate the magnitudes of the terms in the equations of motion for a tornado. Use typical scales as follows: U ? 100 m s-1, W ? 10-1 m s-1, L ? 102 m, H ? 10 km, ?p ? 100 mb. Is the hydrostatic approximation valid in this case? 2. Use scale analysis to determine what simplifications in…
A cord of mass 1.56 x 10-2 kg is stretched between two supports A and B 3.46 m apart. If the tension in the cord is 2.71 x 1011N. How long will it take a pulse to travel from A to B and then back to A?
A cord of mass 1.56 x 10-2g is stretched between two supports A and B 3.46 m apart. If the tension in the cord is 2.71 x 1011N. How long will it take a pulse to travel from A to B and then back to A?
If the speed of light in a certain material "M" is 8.68 x 108 Km/h. Determine "nM" of the material.
How far from a concave mirror with radius 36.0 cm must an object be placed if its image is at infinity?
What is the net work done by gravitational force when a 4.23 x 104 kg container drops from a 2.37 x 102m tall building. (Assuming Air resistance = 1.30 x 105 N)
Wave crest pass through a point P every 8.52 s. Determine how fast the waves are travelling if the distance between two successive troughs is 35.5 m
(a) What is the power of a 45.1 cm focal length lens, (b) What is the focal length of a -7.64 diopter lens.
A penny coin lies on a table at a distance of 20 cm from a stack of three penny coins. Where is the center of mass of the system of four coins?
A spring has a spring stiffness constant, K, of 537 N/m. How much must this spring be stretched to store 63.4 J of potential energy?
How long will it take a 2190 W motor to lift a 14.7 kg box, 63.4 m vertically.
The air molecules trapped in a basketball at room temperature has a kinetic energy of 4.21 x 1012 J. Determine how fast the air molecules are moving if the mass of the basketball is 2.75 x103 Mg. ( assuming the mass of the uninflated basketball is negligable).
A skier starting from rest, slides down a frictionless 63.20 incline whose vertical height is 135 m. How fast is he when he reaches the bottom?
If a person stands 1.85 m infront of a mirror and his or her image is four times their height and upright. (a) What is the radius of curvature of the mirror, (b) Is the image real or virtual? (c) Where is the image?
(a)determine the force required to be generated by a flying saucer of mass 1.94 x 10Âą6 ?g to rise from ground level with an acceleration of 5.18 x 108 km/h upward. (b) find the work done by this force if the saucer is elevated 196 hm from the ground.
The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 14.0 cm behind the mirror. (a)what kind of mirror is it and (b) what is its radius of curvature?
Jacky exerts a force of 66.4 N on the end of a door 0.845 m wide. What is the magnitude of the torque if the force is exerted perpendicular to the door.
Jacky exerts a force of 6.64 x 102 dN on the end of a door 8.45 x 102 mm wide. What is the magnitude of the torque if the force is exerted perpendicular to the door.
The force on an object, acting along the x-axis, varies as shown in the graph below. Determine the work done by this force to move the object (a) from x= 0.0 to x = 3.0 Km, (b) from x = 3.0 to x = 4.0 Km, (c) from x - 4.0 to x = 6.0 Km. (Assuming Ă— is in Kilometers).
Jacky exerts a force of 6.64 x 102 dN on the end of a door 8.45 x 102 mm wide. What is the magnitude of the torque if the force is exerted perpendicular to the door.
Determine the wavelength of a wave traveling at a speed of 112 km/h if it takes 4.18 x 10-2 min for successive points on the wave to pass a point T.
James being a good samaritan decided to help his neighbor get his cat on the tree 4.61 m high. He then uses a ladder to get the cat. How much work does James need to do to rescue the cat if he has a mass of 87.3 kg?
Quiz 1 Quarter2 I. Questions 1. What is center of mass? 2. What is centrifugal force and Coriolis force? II. Problems 1. A propeller spins at 1880rev/min. a. What is its angular velocity in \( \mathrm{rad} / \mathrm{s} \) ? b. What is the angular displacement of the propeller in \( 2.50 \)…
What is the net work done by gravitational force when a 4.23 x 105 hg container drops from a 2.37 x 105 mm tall building. (Assuming Air resistance = 1.30 x 105 N)
When a rigid body is not symmetrical,an analytic solution to Euler's equation for torque free motion cannot be given in terms of elementary function. Show however the conservation of energy and angular momentum can be used to obtain expression for the body components in terms of elliptic…
Airplane flight recorders must be able to survive catastrophic crashes. Therefore, they are typically encased in crash-resistant steel or titanium boxes that are subjected to rigorous testing. One of the tests is an impact shock test, in which the box must survive being thrown at high speeds…
A planet with a mass of 6.2 x 1024 kg has a radius of 7.28 x 106 meters. It rotates once every 24.8 hours. There is a satellite with a mass of 2.5 x 104 kg going around the planet at a distance of d = 6.8 x 108 meters from the center of the planet. a) What is the acceleration due to…
The sun is located at (0, 0) and the earth at (1 AU, 0). 1 AU = 1.5 x 1011 m. Msun = 2 x 1030 kg, Mearth = 5.98 x 1024 kg. Mvenus = 4.87 x 1024 kg. a) Where can a satellite be so that it experiences no gravitational force? b) Where can a satellite be placed on the line adjoining the sun…
State and prove the Work-Energy theorem
A rectangular plate has width and breadth of 300 cm and 400 cm, respectively. An applied torque of 100 N.m gives the plate an angular acceleration of 10 rad/s2 about a perpendicular axis through the centre of the plate. 1) Calculate the rotational inertia of the plate about that axis. 2)…
(a) Consider a round object, whose axis when rolling runs through its centre of mass. Mass is m, moment of inertia is I, radius is R. After it has rolled the vertical distance (y), what is its centre-of-mass speed (v)? (b) Consider a uniform hollow cylinder and a uniform solid cylinder rolling…
With a speed of v, a car is moves along a horizontal road. A sticker is attached to one of the tyres. When the sticker is at its highest point, its speed with respect to the road is: (a) 1.5v. (b) The answer depends on the radius of the tyre. (c) 2v. (d) v. (e) zero.
A book is rotated about an axis. Approximating the book as a rigid object, which one of the following statements about its moment of inertia is true? (a) It depends on the orientation of the axis, but not on its position. (b) It depends on the position of the axis, but not on its orientation.…
A frozen water bottle is released from rest on one side of a U-shaped surface and rolls without waste down to the bottom and up the far side. At the instant it crosses the lowest point, a blast of energy liquifies the ice. When the bottle reaches its maximum height on the far side of the U, it…
A laboratory uses wheels to supply the electrical power that is needed to ignite plasma. Suppose each wheel has a mass of m=610 tonnes. At full speed, the rotation rate is 270 revolutions per minute and the wheel stores an energy of k=3.8 GJ. Assume that it is a solid cylinder of uniform…
NTBC-CT15: FISHINQ ROD-WEXHT OF TWO PIECES. An angler balances a fisking rod on her finger as shown. If she were to cut the rod along the dashed line, weeld the ucight of the picce on the left-hand side be greater Dhan, Los flusu, or equal to the weight of the piece on the right-hand…
MTEE-ERT14; THMER EcuAL Fopces Ampued To A RrcThuote-Tonout. and 5 ikt at \( 45^{*} \) angles to the vertical as shown whele \( F \) i cob lacioconally. Esplain how you Ctititinined your anseer. Foplalin hou vou determined your anvwer. Fivplain how you datermingd yeur amswer.
Figure 1) shows a syringe filled with 20°C olive oil. Radius = 1.0 cm Radius = 1.0 mm 2.0 m/s 4.0 cm Part A What is the gauge pressure in atm at point P, where the needle meets the wider body of the syringe? The pressure at the exit of the needle is 1.0 atm.
A 0.150-kg mass is undergoing simple harmonic motion at the end of a horizontal spring with a force constant, k = 300 N/m. At t = 0 the mass is 0.0120 m from its equilibrium position, and it is observed to have a velocity of +0.300 m/s.Find:a) angular frequency, the phase angle, and amplitude…
A cord of mass 1.56 x 10-2 kg is stretched between two supports A and B 3.46 m apart. If the tension in the cord is 2.71 x 1011N. How long will it take a pulse to travel from A to B and then back to A?
A cord of mass 1.56 x 10-2g is stretched between two supports A and B 3.46 m apart. If the tension in the cord is 2.71 x 1011N. How long will it take a pulse to travel from A to B and then back to A?
If the speed of light in a certain material "M" is 8.68 x 108 Km/h. Determine "nM" of the material.
How far from a concave mirror with radius 36.0 cm must an object be placed if its image is at infinity?
What is the net work done by gravitational force when a 4.23 x 104 kg container drops from a 2.37 x 102m tall building. (Assuming Air resistance = 1.30 x 105 N)
Wave crest pass through a point P every 8.52 s. Determine how fast the waves are travelling if the distance between two successive troughs is 35.5 m
(a) What is the power of a 45.1 cm focal length lens, (b) What is the focal length of a -7.64 diopter lens.
A spring has a spring stiffness constant, K, of 537 N/m. How much must this spring be stretched to store 63.4 J of potential energy?
How long will it take a 2190 W motor to lift a 14.7 kg box, 63.4 m vertically.
The air molecules trapped in a basketball at room temperature has a kinetic energy of 4.21 x 1012 J. Determine how fast the air molecules are moving if the mass of the basketball is 2.75 x103 Mg. ( assuming the mass of the uninflated basketball is negligable).
A skier starting from rest, slides down a frictionless 63.20 incline whose vertical height is 135 m. How fast is he when he reaches the bottom?
If a person stands 1.85 m infront of a mirror and his or her image is four times their height and upright. (a) What is the radius of curvature of the mirror, (b) Is the image real or virtual? (c) Where is the image?
(a)determine the force required to be generated by a flying saucer of mass 1.94 x 10Âą6 ?g to rise from ground level with an acceleration of 5.18 x 108 km/h upward. (b) find the work done by this force if the saucer is elevated 196 hm from the ground.
The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 14.0 cm behind the mirror. (a)what kind of mirror is it and (b) what is its radius of curvature?
Jacky exerts a force of 66.4 N on the end of a door 0.845 m wide. What is the magnitude of the torque if the force is exerted perpendicular to the door.
Jacky exerts a force of 6.64 x 102 dN on the end of a door 8.45 x 102 mm wide. What is the magnitude of the torque if the force is exerted perpendicular to the door.
The force on an object, acting along the x-axis, varies as shown in the graph below. Determine the work done by this force to move the object (a) from x= 0.0 to x = 3.0 Km, (b) from x = 3.0 to x = 4.0 Km, (c) from x - 4.0 to x = 6.0 Km. (Assuming Ă— is in Kilometers).
Jacky exerts a force of 6.64 x 102 dN on the end of a door 8.45 x 102 mm wide. What is the magnitude of the torque if the force is exerted perpendicular to the door.
Determine the wavelength of a wave traveling at a speed of 112 km/h if it takes 4.18 x 10-2 min for successive points on the wave to pass a point T.
James being a good samaritan decided to help his neighbor get his cat on the tree 4.61 m high. He then uses a ladder to get the cat. How much work does James need to do to rescue the cat if he has a mass of 87.3 kg?
Quiz 1 Quarter2 I. Questions 1. What is center of mass? 2. What is centrifugal force and Coriolis force? II. Problems 1. A propeller spins at 1880rev/min. a. What is its angular velocity in \( \mathrm{rad} / \mathrm{s} \) ? b. What is the angular displacement of the propeller in \( 2.50 \)…
Airplane flight recorders must be able to survive catastrophic crashes. Therefore, they are typically encased in crash-resistant steel or titanium boxes that are subjected to rigorous testing. One of the tests is an impact shock test, in which the box must survive being thrown at high speeds…
A planet with a mass of 6.2 x 1024 kg has a radius of 7.28 x 106 meters. It rotates once every 24.8 hours. There is a satellite with a mass of 2.5 x 104 kg going around the planet at a distance of d = 6.8 x 108 meters from the center of the planet. a) What is the acceleration due to…
State and prove the Work-Energy theorem
A rectangular plate has width and breadth of 300 cm and 400 cm, respectively. An applied torque of 100 N.m gives the plate an angular acceleration of 10 rad/s2 about a perpendicular axis through the centre of the plate. 1) Calculate the rotational inertia of the plate about that axis. 2)…
(a) Consider a round object, whose axis when rolling runs through its centre of mass. Mass is m, moment of inertia is I, radius is R. After it has rolled the vertical distance (y), what is its centre-of-mass speed (v)? (b) Consider a uniform hollow cylinder and a uniform solid cylinder rolling…
With a speed of v, a car is moves along a horizontal road. A sticker is attached to one of the tyres. When the sticker is at its highest point, its speed with respect to the road is: (a) 1.5v. (b) The answer depends on the radius of the tyre. (c) 2v. (d) v. (e) zero.
A book is rotated about an axis. Approximating the book as a rigid object, which one of the following statements about its moment of inertia is true? (a) It depends on the orientation of the axis, but not on its position. (b) It depends on the position of the axis, but not on its orientation.…
A frozen water bottle is released from rest on one side of a U-shaped surface and rolls without waste down to the bottom and up the far side. At the instant it crosses the lowest point, a blast of energy liquifies the ice. When the bottle reaches its maximum height on the far side of the U, it…
A laboratory uses wheels to supply the electrical power that is needed to ignite plasma. Suppose each wheel has a mass of m=610 tonnes. At full speed, the rotation rate is 270 revolutions per minute and the wheel stores an energy of k=3.8 GJ. Assume that it is a solid cylinder of uniform…