At an instant when a particle of mass 50 g has an acceleration of 80 m/s2 in the positive x direction, a 75-g particle has an acceleration of 40 m/s2 in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

A) 60 m/s2 B) 56 m/s2 C) 40 m/s2 D) 50 m/s2 E) 46 m/s2 A) 60 m/s2 B) 56 m/s2 C) 40 m/s2 D) 50 m/s2 E) 46 m/s2 C

At an instant when a particle of mass 50 g has an acceleration of 80 m/s2 in the positive x direction, a 75-g particle has an acceleration of 40 m/s2 in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

A) 60 m/s2 B) 56 m/s2 C) 40 m/s2 D) 50 m/s2 E) 46 m/s2 A) 60 m/s2 B) 56 m/s2 C) 40 m/s2 D) 50 m/s2 E) 46 m/s2

A car of mass m1 traveling at velocity v passes a car of mass m2 parked at the side of the road. The momentum of the system of two cars is

A) 0. B) m1v. C) (m1 − m2)v. D) E) (m1 + m2)v. A) 0. B) m1v. C) (m1 − m2)v. D) E) (m1 + m2)v.

Exam 10: Systems of Particles and Conservation of Momentum

At an instant when a particle of mass 50 g has an acceleration of 80 m/s² in the positive x direction, a 75-g particle has an acceleration of 40 m/s² in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

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Question 1

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A uniform thin wire has a length and is bent into a semicircular arc of radius R. If the wire starts at (x, y) = (R, 0) and curves counterclockwise to (x, y) = (−R, 0), what is the y coordinate of its center of mass?

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Question 2

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0.637 R

A ball of mass mB is released from rest and acquires velocity of magnitude vB before hitting the ground. The ratio of the magnitude of the momentum the Earth acquires to the magnitude of the momentum the ball acquires is

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Question 3

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At an instant when a particle of mass 80 g has a velocity of 25 m/s in the positive y direction, a 75-g particle has a velocity of 20 m/s in the positive x direction. What is the speed of the center of mass of this two-particle system at this instant?

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Question 4

A ball falls to the ground from height h and bounces to height h'. Momentum is conserved in the ball-earth system

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Question 5

Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls?

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Question 6

The law of conservation of momentum applies to a collision between two bodies since

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Question 7

Three particles are placed in the xy plane. A 30-g particle is located at (3, 4) m, and a 40-g particle is located at (−2, −2) m. Where must a 20-g particle be placed so that the center of mass of the three-particle system is at the origin?

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Question 8

Two cars start at the same point, but travel in opposite directions on a circular path of radius R, each at speed v. While each car travels a distance less than , one quarter circle, the center of mass of the two cars

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Question 9

A rocket with an initial mass of 1000 kg adjusts its thrust by varying the rate at which mass is ejected. The ejection speed relative to the rocket is 40 km/s. If the acceleration of the rocket is to have a magnitude of 20 m/s² at an instant when its mass is 80% of the original mass, at what rate is mass being ejected at that instant? Ignore any external forces on the rocket.

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Question 10

A pitcher claims he can throw a baseball with as much momentum as a 3.00-g bullet moving with a speed of 1500 m/s. A baseball has a mass of 0.145 kg. What must be its speed if the pitcher's claim is valid?

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Question 11

A 6.0-kg object moving 2.0 m/s in the positive x direction has a one-dimensional elastic collision with a 4.0-kg object moving 3.0 m/s in the opposite direction. What is the total kinetic energy of the two-mass system after the collision?

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Question 12

At an instant when a particle of mass 50 g has an acceleration of 80 m/s² in the positive x direction, a 75-g particle has an acceleration of 40 m/s² in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

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Question 13

A rocket moving in outer space maintains a constant acceleration (magnitude = 20 m/s²) while ejecting fuel at a speed of 15 km/s relative to the rocket. If the initial mass of the rocket is 3 000 kg, what is the magnitude of the thrust after 800 kg of fuel have been consumed?

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Question 14

The value of the momentum of a system is the same at a later time as at an earlier time if there are no

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Question 15

The linear density of a rod, in g/m, is given by . The rod extends from the origin to x = 0.400 m. What is the location of the center of mass of the rod?

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Question 16

A rocket engine consumes 450 kg of fuel per minute. If the exhaust speed of the ejected fuel is 5.2 km/s, what is the thrust of the rocket?

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Question 17

The value of the momentum of a system is the same at a later time as at an earlier time if there are no

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Question 18

Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (−2, −6) m. Where must a 20-g particle be placed so that the center of mass of this three-particle system is located at the origin?

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Question 19

A car of mass m1 traveling at velocity v passes a car of mass m² parked at the side of the road. The momentum of the system of two cars is

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Question 20

Showing 1 - 20 of 25

Exam 10: Systems of Particles and Conservation of Momentum

At an instant when a particle of mass 50 g has an acceleration of 80 m/s2 in the positive x direction, a 75-g particle has an acceleration of 40 m/s2 in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

A uniform thin wire has a length and is bent into a semicircular arc of radius R. If the wire starts at (x, y) = (R, 0) and curves counterclockwise to (x, y) = (−R, 0), what is the y coordinate of its center of mass?

A ball of mass mB is released from rest and acquires velocity of magnitude vB before hitting the ground. The ratio of the magnitude of the momentum the Earth acquires to the magnitude of the momentum the ball acquires is

At an instant when a particle of mass 80 g has a velocity of 25 m/s in the positive y direction, a 75-g particle has a velocity of 20 m/s in the positive x direction. What is the speed of the center of mass of this two-particle system at this instant?

A ball falls to the ground from height h and bounces to height h'. Momentum is conserved in the ball-earth system

Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed. Ball B stops. Which statement correctly describes the change in momentum of the two balls?

The law of conservation of momentum applies to a collision between two bodies since

Three particles are placed in the xy plane. A 30-g particle is located at (3, 4) m, and a 40-g particle is located at (−2, −2) m. Where must a 20-g particle be placed so that the center of mass of the three-particle system is at the origin?

Two cars start at the same point, but travel in opposite directions on a circular path of radius R, each at speed v. While each car travels a distance less than , one quarter circle, the center of mass of the two cars

A pitcher claims he can throw a baseball with as much momentum as a 3.00-g bullet moving with a speed of 1500 m/s. A baseball has a mass of 0.145 kg. What must be its speed if the pitcher's claim is valid?

A 6.0-kg object moving 2.0 m/s in the positive x direction has a one-dimensional elastic collision with a 4.0-kg object moving 3.0 m/s in the opposite direction. What is the total kinetic energy of the two-mass system after the collision?

At an instant when a particle of mass 50 g has an acceleration of 80 m/s2 in the positive x direction, a 75-g particle has an acceleration of 40 m/s2 in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

A rocket moving in outer space maintains a constant acceleration (magnitude = 20 m/s2) while ejecting fuel at a speed of 15 km/s relative to the rocket. If the initial mass of the rocket is 3 000 kg, what is the magnitude of the thrust after 800 kg of fuel have been consumed?

The value of the momentum of a system is the same at a later time as at an earlier time if there are no

The linear density of a rod, in g/m, is given by . The rod extends from the origin to x = 0.400 m. What is the location of the center of mass of the rod?

A rocket engine consumes 450 kg of fuel per minute. If the exhaust speed of the ejected fuel is 5.2 km/s, what is the thrust of the rocket?

The value of the momentum of a system is the same at a later time as at an earlier time if there are no

Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (−2, −6) m. Where must a 20-g particle be placed so that the center of mass of this three-particle system is located at the origin?

A car of mass m1 traveling at velocity v passes a car of mass m2 parked at the side of the road. The momentum of the system of two cars is

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At an instant when a particle of mass 50 g has an acceleration of 80 m/s² in the positive x direction, a 75-g particle has an acceleration of 40 m/s² in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

At an instant when a particle of mass 50 g has an acceleration of 80 m/s² in the positive x direction, a 75-g particle has an acceleration of 40 m/s² in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant?

A rocket moving in outer space maintains a constant acceleration (magnitude = 20 m/s²) while ejecting fuel at a speed of 15 km/s relative to the rocket. If the initial mass of the rocket is 3 000 kg, what is the magnitude of the thrust after 800 kg of fuel have been consumed?

A car of mass m1 traveling at velocity v passes a car of mass m² parked at the side of the road. The momentum of the system of two cars is