Exam 8: Systems of Particles and Conservation of Linear Momentum

Instead of a ballistic pendulum we could use a system where the bullet (mass = m) is fired into a block (mass = M) that is coupled to an uncompressed spring (with spring constant k). The speed of the bullet, v, can be found by measuring the maximum distance, d, of compression of the spring. In this situation the initial speed of the bullet is given by:

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Question 41

A 20-g bullet is fired into a 2.0-kg block of wood placed on a horizontal surface. The bullet stops in the block. The impact moves the block (+ bullet) a distance of 5 m before it comes to rest. If the coefficient of kinetic friction between the block and surface is 0.25, calculate the speed of the block (+ bullet) system immediately after impact.

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Question 42

A car of mass 1850 kg is traveling at 22.5 m/s in a straight line. A truck of mass 3170 kg has the same momentum as the car. The speed of the truck is

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Question 43

A helium atom (mass = 4m) moving with speed collides elastically with a deuterium (hydrogen 2 ) atom (mass = 2m) at rest. Calculate the percentage change in the kinetic energy of the helium atom after the collision.

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Question 44

A bullet of mass m and velocity strikes and becomes imbedded in a wooden block of mass M, which is initially at rest on a frictionless surface. The ratio of the velocity of the system after collision to the initial velocity of the bullet is

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Question 45

Momentum is conserved in which of the following?

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Question 46

A force acting on an object is approximated as F = 4 sin (100 $\pi$ t) N from t = 0 to t = 10 ms. Calculate the impulse on the object.

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Question 47

Two cars of equal mass travel in opposite directions at equal speeds. They collide in a perfectly inelastic collision. Just after the collision, their velocities are

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Question 48

A 5.0-kg ball and a 10.0-kg ball approach each other with equal speeds of 20 m/s. If they collide inelastically, the speed of the balls just after the collision is approximately

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Question 49

A mass m₁ = 2.5 kg is connected to another mass m₂ = 4.0 kg by a compressed spring. Both masses are at rest on a frictionless surface. When the spring is released, the masses are pushed apart and a total energy of 16.8 J is given to the two masses. The speed of mass m₁ is

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Question 50

The momentum vectors ₁ and ₁ of two bodies are shown before collision. After the collision, body A is at rest. The vector that correctly represents the momentum of body B after the collision is

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Question 51

An automatic rifle fires 0.040-kg projectiles at a speed of 800 m/s. If the gunner holding the rifle in her hands can exert an average force of 160 N against the gun, the maximum number of projectiles she can fire in one minute is

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Question 52

A ball with a mass of 50 g is dropped from a point 5.41 m above a sidewalk. The ball is in contact with the sidewalk for 8.1 $\times$ 10^-3 s. What is the magnitude of the average force exerted on the ball?

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Question 53

A car having a total mass of 2250 kg and traveling at 72 km/h smashes into a tree. The car is stopped in 0.25 s. The driver of the car is not held in place by a seat belt or any other restraining device. Just after the impact but before the driver hits any part of the car, the acceleration of the driver is

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Question 54

A Saturn V rocket with an initial mass m₀ of 3 $\times$ 10⁶ kg has a payload that accounts for 27% of this mass, a burn rate of 15 $\times$ 10³ kg/s, and a thrust F_th of 35 $\times$ 10⁶ N. The final speed of the rocket is

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Question 55

A block of wood with a mass M = 4.65 kg is resting on a horizontal surface when a bullet with a mass m = 18 g and moving with a speed v = 725 m/s strikes it. The coefficient of friction between the block and the surface is µ = 0.35. The distance the block moves across the surface is

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Question 56

In a center-of-mass reference frame,

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Question 57

Two particles, m₁ and m₂, each with mass m, is moving with velocity and respectively. The momentum of m₁ relative to the center-of-mass is

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Question 58

While in horizontal flight at a speed of 20 m/s, a baseball of mass 0.11 kg is struck by a bat. After leaving the bat, the baseball has a speed of 29 m/s in a direction opposite to its original direction. The magnitude of the impulse given the ball is

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Question 59

Two objects, one of mass m₁ = 2 kg and the second of unknown mass, are connected by a compressed spring with negligible mass. The system is at rest on a frictionless table. Both objects are released simultaneously. m₁ is observed to recoil with velocity v₁ = 2 m/s , and m₂ shots forward with velocity v₂ = 4 m/s . What is the mass of m₂?

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Question 60

Showing 41 - 60 of 107

A car of mass 1850 kg is traveling at 22.5 m/s in a straight line. A truck of mass 3170 kg has the same momentum as the car. The speed of the truck is

A helium atom (mass = 4m) moving with speed collides elastically with a deuterium (hydrogen 2 ) atom (mass = 2m) at rest. Calculate the percentage change in the kinetic energy of the helium atom after the collision.

A bullet of mass m and velocity strikes and becomes imbedded in a wooden block of mass M, which is initially at rest on a frictionless surface. The ratio of the velocity of the system after collision to the initial velocity of the bullet is

Momentum is conserved in which of the following?

A force acting on an object is approximated as F = 4 sin (100 $\pi$ t) N from t = 0 to t = 10 ms. Calculate the impulse on the object.

Two cars of equal mass travel in opposite directions at equal speeds. They collide in a perfectly inelastic collision. Just after the collision, their velocities are

A 5.0-kg ball and a 10.0-kg ball approach each other with equal speeds of 20 m/s. If they collide inelastically, the speed of the balls just after the collision is approximately

A mass m₁ = 2.5 kg is connected to another mass m₂ = 4.0 kg by a compressed spring. Both masses are at rest on a frictionless surface. When the spring is released, the masses are pushed apart and a total energy of 16.8 J is given to the two masses. The speed of mass m₁ is

The momentum vectors ₁ and ₁ of two bodies are shown before collision. After the collision, body A is at rest. The vector that correctly represents the momentum of body B after the collision is

An automatic rifle fires 0.040-kg projectiles at a speed of 800 m/s. If the gunner holding the rifle in her hands can exert an average force of 160 N against the gun, the maximum number of projectiles she can fire in one minute is

A ball with a mass of 50 g is dropped from a point 5.41 m above a sidewalk. The ball is in contact with the sidewalk for 8.1 $\times$ 10^-3 s. What is the magnitude of the average force exerted on the ball?

A Saturn V rocket with an initial mass m₀ of 3 $\times$ 10⁶ kg has a payload that accounts for 27% of this mass, a burn rate of 15 $\times$ 10³ kg/s, and a thrust F_th of 35 $\times$ 10⁶ N. The final speed of the rocket is

A block of wood with a mass M = 4.65 kg is resting on a horizontal surface when a bullet with a mass m = 18 g and moving with a speed v = 725 m/s strikes it. The coefficient of friction between the block and the surface is µ = 0.35. The distance the block moves across the surface is

In a center-of-mass reference frame,

Two particles, m₁ and m₂, each with mass m, is moving with velocity and respectively. The momentum of m₁ relative to the center-of-mass is

While in horizontal flight at a speed of 20 m/s, a baseball of mass 0.11 kg is struck by a bat. After leaving the bat, the baseball has a speed of 29 m/s in a direction opposite to its original direction. The magnitude of the impulse given the ball is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

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Exam 8: Systems of Particles and Conservation of Linear Momentum

A car of mass 1850 kg is traveling at 22.5 m/s in a straight line. A truck of mass 3170 kg has the same momentum as the car. The speed of the truck is

A helium atom (mass = 4m) moving with speed collides elastically with a deuterium (hydrogen 2 ) atom (mass = 2m) at rest. Calculate the percentage change in the kinetic energy of the helium atom after the collision.

A bullet of mass m and velocity strikes and becomes imbedded in a wooden block of mass M, which is initially at rest on a frictionless surface. The ratio of the velocity of the system after collision to the initial velocity of the bullet is

Momentum is conserved in which of the following?

A force acting on an object is approximated as F = 4 sin (100 π\piπ t) N from t = 0 to t = 10 ms. Calculate the impulse on the object.

Two cars of equal mass travel in opposite directions at equal speeds. They collide in a perfectly inelastic collision. Just after the collision, their velocities are

A 5.0-kg ball and a 10.0-kg ball approach each other with equal speeds of 20 m/s. If they collide inelastically, the speed of the balls just after the collision is approximately

A mass m1 = 2.5 kg is connected to another mass m2 = 4.0 kg by a compressed spring. Both masses are at rest on a frictionless surface. When the spring is released, the masses are pushed apart and a total energy of 16.8 J is given to the two masses. The speed of mass m1 is

The momentum vectors 1 and 1 of two bodies are shown before collision. After the collision, body A is at rest. The vector that correctly represents the momentum of body B after the collision is

An automatic rifle fires 0.040-kg projectiles at a speed of 800 m/s. If the gunner holding the rifle in her hands can exert an average force of 160 N against the gun, the maximum number of projectiles she can fire in one minute is

A ball with a mass of 50 g is dropped from a point 5.41 m above a sidewalk. The ball is in contact with the sidewalk for 8.1 ×\times× 10-3 s. What is the magnitude of the average force exerted on the ball?

A Saturn V rocket with an initial mass m0 of 3 ×\times× 106 kg has a payload that accounts for 27% of this mass, a burn rate of 15 ×\times× 103 kg/s, and a thrust Fth of 35 ×\times× 106 N. The final speed of the rocket is

A block of wood with a mass M = 4.65 kg is resting on a horizontal surface when a bullet with a mass m = 18 g and moving with a speed v = 725 m/s strikes it. The coefficient of friction between the block and the surface is µ = 0.35. The distance the block moves across the surface is

In a center-of-mass reference frame,

Two particles, m1 and m2, each with mass m, is moving with velocity and respectively. The momentum of m1 relative to the center-of-mass is

While in horizontal flight at a speed of 20 m/s, a baseball of mass 0.11 kg is struck by a bat. After leaving the bat, the baseball has a speed of 29 m/s in a direction opposite to its original direction. The magnitude of the impulse given the ball is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

A force acting on an object is approximated as F = 4 sin (100 $\pi$ t) N from t = 0 to t = 10 ms. Calculate the impulse on the object.

A mass m₁ = 2.5 kg is connected to another mass m₂ = 4.0 kg by a compressed spring. Both masses are at rest on a frictionless surface. When the spring is released, the masses are pushed apart and a total energy of 16.8 J is given to the two masses. The speed of mass m₁ is

The momentum vectors ₁ and ₁ of two bodies are shown before collision. After the collision, body A is at rest. The vector that correctly represents the momentum of body B after the collision is

A ball with a mass of 50 g is dropped from a point 5.41 m above a sidewalk. The ball is in contact with the sidewalk for 8.1 $\times$ 10^-3 s. What is the magnitude of the average force exerted on the ball?

A Saturn V rocket with an initial mass m₀ of 3 $\times$ 10⁶ kg has a payload that accounts for 27% of this mass, a burn rate of 15 $\times$ 10³ kg/s, and a thrust F_th of 35 $\times$ 10⁶ N. The final speed of the rocket is

Two particles, m₁ and m₂, each with mass m, is moving with velocity and respectively. The momentum of m₁ relative to the center-of-mass is