You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. sofia, with mass 70.0 kg , is given a push and slides eastward. elena, with mass 60.0 kg , is sent sliding northward. they collide, and after the collision sofia is moving at 38.0 ∘ north of east with a speed of 5.20 m/s and elena is moving at 18.0 ∘ south of east with a speed of 9.00 m/s .
what was the speed of each person before the collision?
a. elena's speed:
b. sofia's speed:
c. by how much did the total kinetic energy of the two people decrease during the collision?

Part a)

So speed of Sofia is 11.4 m/s towards East

Part b)

Speed of Elena is 0.95 m/s

Part c)

Explanation:

As we know that both are moving without friction so here total momentum is conserved before and after collision

Part a)

so we have momentum conservation along x direction given as

So speed of Sofia is 11.4 m/s towards East

Part b)

Similarly momentum conservation in Y direction

Speed of Elena is 0.95 m/s

Part c)

Decrease in kinetic energy of two is given as

dopamine..

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false br