collision.) Show all work using fundamental physics principles leading to an ans

Question

collision.) Show all work using fundamental physics principles leading to an answer. (b) Can this collision be elastic, given these data? Two ice skaters, Daniel (75.0 kg) and Rebecca (45.0 kg), are skating towards one another as shown below. They embrace when they collide. Find the velocity of the couple (magnitude and direction) immediately after the collision. In a volcanic eruption, a 2400-kg boulder is thrown upward from ground level with an initial speed of 120 m/s at an angle of 37 degree from the vertical. At the very top of its motion the boulder explodes into two pieces due to gases trapped in its interior. One piece is three times more massive than the

Explanation / Answer

given,

mass of Daniel = 75 kg

mass of Rebecca = 45 kg

by conservation of momentum

initial horizontal momentum = final horizontal momentum

75 * 4.2 * cos(17) + 45 * 2.6 * cos(39) = (75 + 45) * v_x

v_x = 3.268 m/s

initial vertical momentum = final vertical momentum

- 75 * 4.2 * sin(17) + 45 * 2.6 * sin(39) = (75 + 45) * v_y

v_y = -0.154 m/s

magnitude of velocity = sqrt(v_x^2 + v_y^2)

magnitude of velocity = sqrt(3.268^2 + 0.154^2)

magnitude of velocity = 3.2716 m/s

direction = tan^-1(0.154 / 3.268)

direction = 2.698 degree clockwise from x axis

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