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Physics 101 Mechanics
November 2021
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Physics 101 Mechanics
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November 23, 2021
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November 23 of 2021
580 J of heat is conducted from a reservoir at 395 K to one at 290 K. (a) What is the change in entropy of the universe? (b) How much of the 580 J of heat conducted could have been converted into work using a cold reservoir at 290 K?
Calculate the uncertainty (standard deviation) of the position of a particle in an infinite-walled potential well that is in the ground state. What is the uncertainty at the time? What is the uncertainty in its total energy?
You warm up some water on the stove. The transfer of thermal energy over a period of time is 300 J. While the water was heating up , you also stirred it with the mixer, doing 200 J of mechanical work on the water. After the stove is turned off and the water stops swirling. The thermo energyā¦
You lift the box of mass m from the ground placing it at rest on the shelf at the height h Taking a box to be the system, the change in potential energy is a. mgh b. zero c. - mgh d. equal to the work done by gravity e. equal to the change in the total energy of the box
A person pushing a uniformly?loaded 53.2 kg wheelbarrow of length ???? with pushing force ????? is attempting to get it over a step. The maximum horizontal force that the person can apply is ????????=745 N. What is the maximum height ? of the step, expressed as a fraction ???? ofā¦
A block of stone is cut so that its cross?section is a parallelogram. The width of the bottom side is ????=0.615 m, the height of the top of the block is ?=0.855 m, and the top right corner overhangs a distance ????oh=0.235 m from the bottom corner as shown. Assume that the block is ofā¦
You lift the box of mass m from the ground placing it at rest on the shelf at the height h Taking a box to be the system, the external physical force on it are a. gravity only b. gravity and your hand c. Your hand only d. the acceleration force as you lift the box e. gravity andā¦
A basket ball player jumps vertically off the rigid floor. while the play is in contact with the floor a. Neither the floor nor player does work on other b. The floor does non-zero work on the player, by the player does zero work on the floor c. The floor does zero work on the player, by theā¦
A basket ball player jumps vertically off the rigid floor. while the player is in contact with the floor a. Neither the floor nor player does work on other b. The floor does non-zero work on the player, by the player does zero work on the floor c. The floor does zero work on the player,ā¦
determine the moment of force F about point O in two different ways (using vectors r ob and r oc
Determine the moment of force F about point O in two different ways
A \( 5.20-\mathrm{N} \) force is applied to a \( 1.05 \)-kg object to accelerate in righteands. The object cnconaticrs 3 a-N of inction. Determine the acoeleration of the objort. Deaw the force diagram.
How to find force of gravity
3. Ann was sitting on a bench near the highway, then suddenly she heard a siren coming with a frequency of 684 Hz and moving towards her at 2 m/s. What will be the frequency that Ann will detect as the siren approach her?
a 732-kg car stopped at an intersection is rear-ended by a 1720-kg truck moving with a speed of 15.5 m/s. if the car was in neutral and itās breaks were off, so that the collision is approximately elastic, find the final speed of both vehicles after the collision.
The figure shows graphs of force magnitude versus time for a body involved in a collision. Rank the graphs according to the magnitude of the impulse on the body, greatest first
Considering the point āPā on the surface of a tennis ball, find its cartesian components X, Y and Z. (Radius of the tennis ball is 4 cm, where Īø=30Ā° and Ļ=45Ā°)
Imagine that the CD on the right side is rotating with a constant angular velocity of Ļ=6 rad/s between t=0 and t=3 s. Then, at t=3 s, it is suddenly subjected to a constant angular acceleration of Ī±=6 rad/sĀ² for 2 seconds. Determine the number of turns for the total time interval from t=0 toā¦
An impulsive force Fx as a function of time (in ms) is shown in the Fig. as applied to an object (m = 5.0 kg) at rest. What will be its final speed?
A 1500 kg car traveling at 90.0 km/h east collides with a 3000 kg car traveling at 60.0 km/h south. The two cars stick together after the collision. What is the speed of the cars after collision?
A ball hits a wall and rebounds with the same speed, as diagrammed below. The changes in the components of the momentum of the ball are
Cart A, with a mass of 0.2 kg, travels on a horizontal air track at 3 m/s and hits cart B, which has a mass of 0.4 kg and is initially at rest. After the collision the center of mass of the two cart system has a speed in m/s of:
A projectile is to be launched at an angle of 30 so that it falls beyond the pond of length 20 meters as shown in the figure: 30" a) What is the range of values of the initial velocity so that the projectile falls between points M and Iom
Two objects with mass M and 2M is moving with a constant initial velocity with constant angle with the horizontal, one is as projectile motion in air and another one is along a frictionless inclined plane. Each Object will reach to its maximum height.
Two objects with mass M and 2M is moving with a constant initial velocity with constant angle with the horizontal, one is as projectile motion in air and another one is along a frictionless inclined plane. Each Object will reach to its maximum height.
Two bodies, A and B, have equal kinetic energies. The mass of A is nine times that of B. The ratio of the momentum of A to that of B is:
A rock is thrown upward from a bridge at an initial height of 8 meters above the water at an initial speed of v1 and an angle of 37 degree from the vertical as shown. Use g=10 m/s^2 to solve this problem. a) Write a set of equations for the horizontal and vertical positions and
A rock is thrown upward from a bridge at an initial height of 8 meters above the water at an initial speed of v1 and an angle of 37 degree from the vertical as shown. Use g=10 m/s^2 to solve this problem. a) Write a set of equations for the horizontal and vertical positions and velocitiesā¦
Imagine that the CD on the right side is rotating with a constant angular velocity of w=6 rad/s between t=0 and t=3 s. Then, at t=3 s, it is suddenly subjected to a constant angular acceleration of ?=6 rad/s2 for 2 seconds. Determine the number of turns for the total time interval from t=0ā¦
Car 1 was sitting at rest when it was hit from the rear by car 2 of identical mass. Both cars had their breaks on and they skidded together 6 m in the original direction of motion. If the stopping force is ~ 0.7 Ā“ (combined weight of the cars) , i.e., Āµ = 0.7, find the approximate speedā¦
Engineering mechanics question
Calculate the molal elevation constant of water, it being given that 0.1 molal aqueous solution of a subtance boiled at 100.052 oC.
What is the velocity of the ball at the plan surface?
Use the Newton's law to measure the speed of the 6 kg block after it has descended 1.5 m.
A child is pulling a box of weight 50 N with a constant force F having a direction A = 15Ā° as shown in the figure below. The force of kinetic friction between the box and the floor is fe = 22 N. If the box has an acceleration = 1 m/s?, then the magnitude of the applied force F is equalā¦
Draw the free body diagram of the forces active on both mass
Consider the system shown Figure The rope and pulley have negligible mass, and the pulley is frictionless. The coefficient of kinetic friction between the 10 kg block and the table- top is Āµk = 0.25. The blocks are released from rest.
Two student pull horizontally on ropes attached to a mass. The two forces F1 and F2 that they apply to the mass are such that the net force Fnet has a magnitude equal to that of F1 and makes an angle of 900 with F1 , Let F1 = 1000 N. Find the magnitude of F2 and its direction (relative to F1ā¦
In the diagram below, a 10 kg ball slides from rest at a height of h1 = 2 m down to a smooth horizontal surface until it encounters a rough incline of height h2. The incline has a coefficient of kinetic friction ?k = 0.25.
In the diagram below, a 10 kg ball slides from rest at a height of h1 = 2 m down to a smooth horizontal surface until it encounters a rough incline of height h2. The incline has a coefficient of kinetic friction ?k = 0.25.
Cartesian components
Find
Imagine that the CD on the right side is rotating with a constant angular velocity of ĢĻ=6 rad/s between t=0 and t=3 s. Then, at t=3 s, it is suddenly subjected to a constant angular acceleration of Ī±=6 rad/sĀ² for 2 seconds. Determine the number of turns for the total time interval from t=0 toā¦
Using cylindrical coordinate system, find the volume of the cylinder on the left side with a height of H. (It is clear that you shouldnāt directly write V = ĻrĀ²H without doing any calculations in cylindrical coordinate system)
Using cylindrical coordinate system, find the volume of the cylinder on the left side with a height of H. (It is clear that you shouldnāt directly write V = ??-? without doing any calculations in cylindrical coordinate system)
Vector question
Define inertia frame of reference
Help me
Convert 5cm to mm
A concave mirror produces three times magnified (Enlarged) real image of an object placed at 10 cm in front of it. Where is the image located?
When a 12 V battery is conneted across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.
A current of 0.5 A is drawn by a filament of an electric bulb for 10 minutes. Find the amount of charge that flows through the circuit.
How do I solve this?
Suppose that some astronauts are gently floating inside the International Space Station (ISS), not touching the walls of their cabin or anything else. The ISS is in "low Earth orbit" -- a circular orbit roughly 1/10 of an Earth-radius above the Earth's surface (but safely above the drag of theā¦
In the picture shown here of pressure in an open-closed tube, what harmonic is shown?
A bungee jumper has mass m=96.7kg and uses a bungee cord of unstretched length l=11.9 m. The cord has negligible mass and a force constant k=327 N/m, which means that when its extension is ?l the force it applies on the jumper is F=?k?l. The bungee jumper falls off a bridge. Treat her as aā¦
A drill bit is rotating at 950 revolutions per minute. (a) In units of sā»Ā¹, its angular speed is: (b) The drill bit takes 6.3 s to reach this angular speed, starting from rest. Its average angular acceleration during this time is:
At low temperature, an electron can be trapped just above the surface of liquid helium. The interaction between the electron and the surface is modelled by the potential energy U(x) = -A/x^2 + B/x^4 where x is the distance from the surface and A and B are positive constants. i. Show that theā¦
At low temperature, an electron can be trapped just above the surface of liquid helium. The interaction between the electron and the surface is modelled by the potential energy ????(????) = ?(????/?????2 )+ (????/?????4). (a) Show that the force acting on the electron is ????(????) = ?ā¦
In the picture shown in 22 of a sound wave in an open-closed tube, if L = 4m, what is the pictured wavelength?
You notice that the frequency of a plucked string is 10Hz; the string is then made 25 times more tense than before; what is the frequency now?
In the standing string wave image seen in 16, if L = 1m, what is the pictured frequency?
At least three (3) exoplanets have been discovered in the Trappist Star system located 3.7 Ć 10 14 km away. Assuming there is an advanced civilization located on one of these planets, how long would it take for a radio signal broadcast there to reach the Earth?
A nearby lawnmower has an intensity at your location of about 0.01 W per square meter. If the mower is 2m away, how much sound power is it producing?
580 J of heat is conducted from a reservoir at 395 K to one at 290 K. (a) What is the change in entropy of the universe? (b) How much of the 580 J of heat conducted could have been converted into work using a cold reservoir at 290 K?
Calculate the uncertainty (standard deviation) of the position of a particle in an infinite-walled potential well that is in the ground state. What is the uncertainty at the time? What is the uncertainty in its total energy?
You warm up some water on the stove. The transfer of thermal energy over a period of time is 300 J. While the water was heating up , you also stirred it with the mixer, doing 200 J of mechanical work on the water. After the stove is turned off and the water stops swirling. The thermo energyā¦
You lift the box of mass m from the ground placing it at rest on the shelf at the height h Taking a box to be the system, the change in potential energy is a. mgh b. zero c. - mgh d. equal to the work done by gravity e. equal to the change in the total energy of the box
A person pushing a uniformly?loaded 53.2 kg wheelbarrow of length ???? with pushing force ????? is attempting to get it over a step. The maximum horizontal force that the person can apply is ????????=745 N. What is the maximum height ? of the step, expressed as a fraction ???? ofā¦
A block of stone is cut so that its cross?section is a parallelogram. The width of the bottom side is ????=0.615 m, the height of the top of the block is ?=0.855 m, and the top right corner overhangs a distance ????oh=0.235 m from the bottom corner as shown. Assume that the block is ofā¦
You lift the box of mass m from the ground placing it at rest on the shelf at the height h Taking a box to be the system, the external physical force on it are a. gravity only b. gravity and your hand c. Your hand only d. the acceleration force as you lift the box e. gravity andā¦
A basket ball player jumps vertically off the rigid floor. while the play is in contact with the floor a. Neither the floor nor player does work on other b. The floor does non-zero work on the player, by the player does zero work on the floor c. The floor does zero work on the player, by theā¦
A basket ball player jumps vertically off the rigid floor. while the player is in contact with the floor a. Neither the floor nor player does work on other b. The floor does non-zero work on the player, by the player does zero work on the floor c. The floor does zero work on the player,ā¦
determine the moment of force F about point O in two different ways (using vectors r ob and r oc
Determine the moment of force F about point O in two different ways
How to find force of gravity
3. Ann was sitting on a bench near the highway, then suddenly she heard a siren coming with a frequency of 684 Hz and moving towards her at 2 m/s. What will be the frequency that Ann will detect as the siren approach her?
a 732-kg car stopped at an intersection is rear-ended by a 1720-kg truck moving with a speed of 15.5 m/s. if the car was in neutral and itās breaks were off, so that the collision is approximately elastic, find the final speed of both vehicles after the collision.
The figure shows graphs of force magnitude versus time for a body involved in a collision. Rank the graphs according to the magnitude of the impulse on the body, greatest first
Considering the point āPā on the surface of a tennis ball, find its cartesian components X, Y and Z. (Radius of the tennis ball is 4 cm, where Īø=30Ā° and Ļ=45Ā°)
Imagine that the CD on the right side is rotating with a constant angular velocity of Ļ=6 rad/s between t=0 and t=3 s. Then, at t=3 s, it is suddenly subjected to a constant angular acceleration of Ī±=6 rad/sĀ² for 2 seconds. Determine the number of turns for the total time interval from t=0 toā¦
An impulsive force Fx as a function of time (in ms) is shown in the Fig. as applied to an object (m = 5.0 kg) at rest. What will be its final speed?
A 1500 kg car traveling at 90.0 km/h east collides with a 3000 kg car traveling at 60.0 km/h south. The two cars stick together after the collision. What is the speed of the cars after collision?
A ball hits a wall and rebounds with the same speed, as diagrammed below. The changes in the components of the momentum of the ball are
Cart A, with a mass of 0.2 kg, travels on a horizontal air track at 3 m/s and hits cart B, which has a mass of 0.4 kg and is initially at rest. After the collision the center of mass of the two cart system has a speed in m/s of:
Two objects with mass M and 2M is moving with a constant initial velocity with constant angle with the horizontal, one is as projectile motion in air and another one is along a frictionless inclined plane. Each Object will reach to its maximum height.
Two objects with mass M and 2M is moving with a constant initial velocity with constant angle with the horizontal, one is as projectile motion in air and another one is along a frictionless inclined plane. Each Object will reach to its maximum height.
Two bodies, A and B, have equal kinetic energies. The mass of A is nine times that of B. The ratio of the momentum of A to that of B is:
Imagine that the CD on the right side is rotating with a constant angular velocity of w=6 rad/s between t=0 and t=3 s. Then, at t=3 s, it is suddenly subjected to a constant angular acceleration of ?=6 rad/s2 for 2 seconds. Determine the number of turns for the total time interval from t=0ā¦
Car 1 was sitting at rest when it was hit from the rear by car 2 of identical mass. Both cars had their breaks on and they skidded together 6 m in the original direction of motion. If the stopping force is ~ 0.7 Ā“ (combined weight of the cars) , i.e., Āµ = 0.7, find the approximate speedā¦
Engineering mechanics question
Calculate the molal elevation constant of water, it being given that 0.1 molal aqueous solution of a subtance boiled at 100.052 oC.
What is the velocity of the ball at the plan surface?
Use the Newton's law to measure the speed of the 6 kg block after it has descended 1.5 m.
A child is pulling a box of weight 50 N with a constant force F having a direction A = 15Ā° as shown in the figure below. The force of kinetic friction between the box and the floor is fe = 22 N. If the box has an acceleration = 1 m/s?, then the magnitude of the applied force F is equalā¦
Draw the free body diagram of the forces active on both mass
Two student pull horizontally on ropes attached to a mass. The two forces F1 and F2 that they apply to the mass are such that the net force Fnet has a magnitude equal to that of F1 and makes an angle of 900 with F1 , Let F1 = 1000 N. Find the magnitude of F2 and its direction (relative to F1ā¦
In the diagram below, a 10 kg ball slides from rest at a height of h1 = 2 m down to a smooth horizontal surface until it encounters a rough incline of height h2. The incline has a coefficient of kinetic friction ?k = 0.25.
In the diagram below, a 10 kg ball slides from rest at a height of h1 = 2 m down to a smooth horizontal surface until it encounters a rough incline of height h2. The incline has a coefficient of kinetic friction ?k = 0.25.
Cartesian components
Find
Imagine that the CD on the right side is rotating with a constant angular velocity of ĢĻ=6 rad/s between t=0 and t=3 s. Then, at t=3 s, it is suddenly subjected to a constant angular acceleration of Ī±=6 rad/sĀ² for 2 seconds. Determine the number of turns for the total time interval from t=0 toā¦
Using cylindrical coordinate system, find the volume of the cylinder on the left side with a height of H. (It is clear that you shouldnāt directly write V = ĻrĀ²H without doing any calculations in cylindrical coordinate system)
Using cylindrical coordinate system, find the volume of the cylinder on the left side with a height of H. (It is clear that you shouldnāt directly write V = ??-? without doing any calculations in cylindrical coordinate system)
Vector question
Help me
Convert 5cm to mm
A concave mirror produces three times magnified (Enlarged) real image of an object placed at 10 cm in front of it. Where is the image located?
When a 12 V battery is conneted across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.
A current of 0.5 A is drawn by a filament of an electric bulb for 10 minutes. Find the amount of charge that flows through the circuit.
How do I solve this?
Suppose that some astronauts are gently floating inside the International Space Station (ISS), not touching the walls of their cabin or anything else. The ISS is in "low Earth orbit" -- a circular orbit roughly 1/10 of an Earth-radius above the Earth's surface (but safely above the drag of theā¦
In the picture shown here of pressure in an open-closed tube, what harmonic is shown?
A bungee jumper has mass m=96.7kg and uses a bungee cord of unstretched length l=11.9 m. The cord has negligible mass and a force constant k=327 N/m, which means that when its extension is ?l the force it applies on the jumper is F=?k?l. The bungee jumper falls off a bridge. Treat her as aā¦
A drill bit is rotating at 950 revolutions per minute. (a) In units of sā»Ā¹, its angular speed is: (b) The drill bit takes 6.3 s to reach this angular speed, starting from rest. Its average angular acceleration during this time is:
At low temperature, an electron can be trapped just above the surface of liquid helium. The interaction between the electron and the surface is modelled by the potential energy U(x) = -A/x^2 + B/x^4 where x is the distance from the surface and A and B are positive constants. i. Show that theā¦
In the picture shown in 22 of a sound wave in an open-closed tube, if L = 4m, what is the pictured wavelength?
You notice that the frequency of a plucked string is 10Hz; the string is then made 25 times more tense than before; what is the frequency now?
In the standing string wave image seen in 16, if L = 1m, what is the pictured frequency?
At least three (3) exoplanets have been discovered in the Trappist Star system located 3.7 Ć 10 14 km away. Assuming there is an advanced civilization located on one of these planets, how long would it take for a radio signal broadcast there to reach the Earth?
A nearby lawnmower has an intensity at your location of about 0.01 W per square meter. If the mower is 2m away, how much sound power is it producing?