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Akimi4 [234]
3 years ago
14

Two identical carts are free to move along a straight frictionless track. At time t1, cart X is moving at 2.0 m/s when it collid

es with and sticks to cart Y, which is initially at rest. Draw the graphs that best shows the velocity of cart X before and after the collision?
Physics
1 answer:
jarptica [38.1K]3 years ago
8 0

Answer:

Explanation:

Using the law of conservation of momentum;

m_1 u_1+m_2u_2 = m_1v_1+m_2v_2

here;

There is a need for conservation of the total momentum that occurred before and after the collision.

So;

m_1 = mass of cart X

m_2 = mas 9f cart Y

u_1 = velocity of cart X (before collision)

u_2 = velocity of cart Y (before collision)

v_1 = velocity of cart X (after collision)

v_2 = velocity of cart Y (after collision)

So;

m(u_1+0) =(m_1v+m_2)v

because the mass is identical and v represents the velocity of both carts.

Now;

u_1 = 2 m/s

u_2 = 0 ( at rest)

∴

m(2) = (2m)v

v = 1 m/s

Thus, we can see from the graphical image attached below that the velocity of X reduces to 1 m/s after collision with cart Y.

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