Elaine and her boyfriend, David, are ice-skating together. Elaine has a mass of

Question

Elaine and her boyfriend, David, are ice-skating together. Elaine has a mass of 50 kg and David's mass is 80 kg. Starting from rest, Elaine shoves David in the chest and he moves away at a speed of 4 m/s. Calculate the speed of Elaine. What direction does she move? Elaine and her boyfriend, David, are ice-skating together. Elaine has a mass of 50 kg and David's mass is 80 kg. Starting from rest, Elaine shoves David in the chest and he moves away at a speed of 4 m/s. Calculate the speed of Elaine. What direction does she move? Elaine and her boyfriend, David, are ice-skating together. Elaine has a mass of 50 kg and David's mass is 80 kg. Starting from rest, Elaine shoves David in the chest and he moves away at a speed of 4 m/s. Calculate the speed of Elaine. What direction does she move?

Explanation / Answer

me = mass of elaine = 50 kg

md = mass of david = 80 kg

Vd = initial velocity of david = 4 m/s

Ve = initial velocity of elaine

initial total momentum =0          since both david and elaine were at rest

Using conservation of momentum

initial Total momentum = final total momentum

0 = me Ve + md vd

50 Ve = - 80 x 4

Ve = - 6.4 m/s

elaine moves in opposite direction

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