A rubber ball of inertia (m_{mathrm{b}}=0.050 mathrm{~kg}) is fired along a track toward a stationary cart of

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A rubber ball of inertia \(m_{\mathrm{b}}=0.050 \mathrm{~kg}\) is fired along a track toward a stationary cart of inertia \(m_{\mathrm{c}}=0.25 \mathrm{~kg}\). The kinetic energy of the system after the two collide elastically is \(2.5 \mathrm{~J}\).

(a) What is the initial velocity of the ball?

(b) What are the final velocities of the ball and the cart?

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