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

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..

a and b sometimes have a positive value