# A car of mass 1,000 kg begins stationary on a road at the top of a mountain, at a height h = 3,000 m. The car then rolls freely down a winding road, travelling a total distance of 5 km, to reach the height h = 2,000 m. Assume g = 9.8 ms-2
1. How much energy did the car lose on descent? Give you answer to 3 significant figures, with units.

2. At this point, how much energy is stored in a gravitational potential store? Give your answer in kJ.

3. The car continues to roll down the mountain, where it reaches the bottom. Here the height h = 0 m. Assuming no further energy is lost and all the GPE from the top of the mountain is transformed into KE, what is the final velocity of the car? Give your answer to 3 significant figures.

Can someone please explain me how to do these? I have them in exams tomorrow.

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Visualize the problem and identify special cases first examine the problem by drawing a picture and visualizing the motion. apply newton's 2nd law, ∑f⃗ =ma⃗ , to each body in your mind. don't worry about which quantities are given. think about the forces on each body: how are these consistent with the direction of the acceleration for that body? can you think of any special cases that you can solve quickly now and use to test your understanding later? one special case in this problem is if m2=0, in which case block 1 would simply fall freely under the acceleration of gravity: a⃗ 1=−gj^.

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A car of mass 1,000 kg begins stationary on a road at the top of a mountain, at a height h = 3,000 m...

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