Explore BrainMass

# Conservation of Momentum

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

See attached figure.

In a shipping company distribution center, an open cart of mass 53.0 kg is rolling to the left at a speed of 5.40 m/s (see the figure ). You can ignore friction between the cart and the floor. A 14.0 kg package slides down a chute that is inclined at 37 degrees from the horizontal and leaves the end of the chute with a speed of 3.10 m/s . The package lands in the cart and they roll off together. See attached figure.

A) If the lower end of the chute is a vertical distance of 4.00 m above the bottom of the cart, what is the speed of the package just before it lands in the cart?

B) What is the final speed of the cart?

https://brainmass.com/physics/conservation-of-momentum/physics-problems-conservation-momentum-348494

#### Solution Preview

** Please see the attached file for the complete solution response **

A) Velocity at the instant of leaving the chute (initial velocity) = u = 3.10 m/s

Vertical component of the initial velocity = u_y = 3.10sin37^O = 1.87 m/s

Horizontal component of the initial velocity = u_x = 3.10cos37^O = 2.48 m/s

On leaving the chute, the package behaves like a projectile. The horizontal component of the initial velocity remains constant (neglecting air friction). However, vertical component is subject to acceleration due to gravity. ...

#### Solution Summary

This solution provides a detailed, step by step explanation of how to solve the given physics questions.

\$2.49