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A 2.0 kg cart moving in a straight line hits a piece of modeling clay (1.0 kg) that is at rest. The clay sticks to the cart and both move to the left at 1.0 m/s. What was the initial velocity of the cart and in which direction? (Remember to include - to indicate direction if necessary.) v= 1.5, 1.0, or 0.5 m/s to the right, orto the left

Sagot :

It is 1.5 m/s to the left
(1 m/s)(2 kg + 1 kg) - (1 kg)(0 m/s))/2 kg = 1.5 m/s to the left

The velocity of the cart is 1.5 m/s to the left if the 2.0 kg cart moving in a straight line hits a piece of modeling clay (1.0 kg) that is at rest.

What is mass?

A tangible body's mass is the amount of matter it possesses. It's also a metric of inertial or the resistance to velocity when a net force is exerted.

We have:

A 2.0 kg cart moving in a straight line hits a piece of modeling clay (1.0 kg) that is at rest. The clay sticks to the cart and both move to the left at 1.0 m/s

By conservation of linear momentum:

= [(1 m/s)(2 kg + 1 kg) - (1 kg)(0 m/s)]/2 kg

= [3 - 0]/2

= 1.5 m/s  (left side)

Thus, the velocity of the cart is 1.5 m/s to the left if the 2.0 kg cart moving in a straight line hits a piece of modeling clay (1.0 kg) that is at rest.

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