Unit 4: Systems of Particles and Linear Momentum

The impulse-momentum theorem states that impulse equals:

A 2 kg ball moving at 5 m/s collides elastically with a 2 kg ball at rest. What are the final velocities?

A force [math] N acts on a 4 kg object initially at rest. The impulse from t = 0 to t = 3 s is

A rocket of mass M ejects fuel at a rate dm/dt with exhaust velocity [math] relative to the rocket. The thrust is

The center of mass of a system of two particles (m₁ = 3 kg at x = 2 m, m₂ = 1 kg at x = 6 m) is at

A force [math] acts on a particle of mass m initially at rest. The velocity as [math] is

In a perfectly elastic collision between two objects of equal mass where one is initially at rest, after the collision

A 2 kg cart moving at 6 m/s collides head-on with a 3 kg cart moving at 2 m/s. They stick together. The final velocity is

A chain of total mass M and length L lies on a table. One end is pulled off at constant speed v. The force needed when length x hangs off the table is

The velocity of the center of mass of a system is [math]. If no external forces act, [math] is

In a two-body system with no external forces, if one body accelerates to the right, the center of mass

A 4 kg cart moving at 3 m/s collides and sticks with a 2 kg cart at rest. What is the velocity of the combined carts after the collision?

Two objects of masses 2 kg and 6 kg are located at x = 0 m and x = 4 m respectively. Where is the center of mass?

In a two-dimensional collision, momentum is conserved:

A 10 kg object at rest explodes into two pieces — one of 4 kg moving at 6 m/s to the right. What is the velocity of the other piece?

In a head-on elastic collision between two objects of equal mass, where one is initially at rest, after the collision:

A rocket accelerates by:

On a force vs. time graph, the impulse delivered to an object equals:

In a ballistic pendulum, a bullet embeds in a hanging block. To find the bullet's initial speed, you use:

A 60 kg person standing on ice throws a 0.5 kg ball at 10 m/s. The person's recoil speed is:

The thrust of a rocket is given by:

A rocket of initial mass [math] ejects fuel at a rate [math] with exhaust velocity [math] relative to the rocket. Ignoring gravity, the acceleration of the rocket when its mass is [math] is

A 5 kg cart moving at 4 m/s collides with a stationary 3 kg cart. After the collision, the 5 kg cart moves at 1 m/s. The velocity of the 3 kg cart after the collision is

A 2 kg particle moves with velocity [math] m/s. A net force [math] N acts for 3 s. What is the final speed of the particle?