please show all steps. thank you 4. A skier is moving initially at 30.0 m/s alon

Question

please show all steps. thank you

4. A skier is moving initially at 30.0 m/s along the flat top of a 10 m high hill. If there is no friction or air resistance, what is his speed when he reaches the bottom of the hill? 10 m 5. A 3.0 kg block is pressed against a spring with spring constant 700 N/m so that the end of the spring is compressed 0.60 m away from its relaxed position. The block is then let go so that it shoots off the ramp and ends up traveling straight up. What is the highest point above the ground in meters that the block reaches?

Explanation / Answer

4. We just have to apply conservation of energy in this question.

Energy at the top= energy at the bottom

mgh+0.5mu2=0.5mv2

2*[30*9.81+(0.5*302)]=v2

v=33.11m/s

5.

Now whatever will be the stored potential energy in the spring will be converted to garvitational potential energu.

0.5*kx 2=mgh

0.5*700*0.62=3*9.81h

h=4.28m

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