Question

please detail all varaiables and constants with name and values

An object having mass of 900 kg and traveling at a speed of 0.850c collides with a stationary object having mass 1400 kg. The two objects stick together. Find (a) the speed and (b) the mass of the composite object.

Answer 1

Given that mass = 900 kg travelling speed = 0.850 c Collides with a stationary object having mass is = 1400 kg (a) the speed: v_1 = 0.85 c m_1 = 900 kg, y_1 v_2 = 0 m_2 = 1400 kg, y_2 let the mass and velocity of the composite body is M & V respectively momentum conservation/v_1 m_1 v_1 + y_2 m_2 v_2 = ymw 900 times (0.85 c)/squareroot 1 - (0.85)^2 + 0 = mv/squareroot 1 - v^2/c^2 - 0 energy conservation y_1 m_1 c^2 + m_2 c^2 = yme^2 900 c^/squareroot 1 - (0.85)^2 + 1400 c^2 = me^2/squareroot 1 - v^2/c^2 \r\n 3 cos 48 = m/squareroot 1 - v^2/c^2 (2) eqn. (1) & eqn. (2) we have 3108.48 v = 900 times 0.85 c/squareroot 1 - (0.85)^2 v = 0.467 c (b) the mass of the composite object from eqn. (1) M/squareroot 1 - v^2/c^2 = 3108.48 M = 3108.48 [1 - (0.467)^2]^1/2