A cart with mass 440 g moving on a frictionless linear air track at an initial speed of 1.2 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 0.90 m/s. (a) What is the mass of the second cart? (b) What is its speed after impact? (c) What is the speed of the two-cart center of mass?

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Asked Apr 1, 2019
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A cart with mass 440 g moving on a frictionless linear air track at an initial speed of 1.2 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 0.90 m/s. (a) What is the mass of the second cart? (b) What is its speed after impact? (c) What is the speed of the two-cart center of mass?

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Expert Answer

Step 1

(a)

Equations for elastic collision are,

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Step 2

Using the first equation and substituting u2 = 0,

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Step 3

(b)

Using the second elastic collision equation of (a) ...

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