A 2.0 g particle moving at 8.5 m/s makes a perfectly elastic head-on collision w

Question

A 2.0 g particle moving at 8.5 m/s makes a perfectly elastic head-on collision with a resting 1.0 g object.
(a) Find the speed of each particle after the collision.
2.0 g particle ___ m/s
1.0 g particle ___ m/s

(b) Find the speed of each particle after the collision if the stationary particle has a mass of 10 g.
2.0 g particle ___ m/s
10.0 g particle ___ m/s

(c) Find the final kinetic energy of the incident 2.0 g particle in the situations described in parts (a) and (b).
KE in part (a) ___ J
KE in part (b) ___ J

Explanation / Answer

According to conservation of linear momentum

m_1U_1 +m _2U_2   = m_1v_1 + m_2 V_2

here u_1 and u_2 are the intial velocities of the particles

v_1 and v_2 are final velocities of the particles after collision

according to law of consevation law of energy

intial kinetic energy = final kinetic energy

(1/2)m_1(u_1)^2   + (1/2)m_2(u_2)^2   = (1/2)m_1(v_1)^2   + (1/2)m_2(v_2)^2

apply these formule   in each case and get the answer

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