A 10 kg ball is rolled to the top of a hill 37 m high using 4000 J of work. How much energy was lost due to heat?

370.3J

Explanation:

A 10 kg ball is rolled to the top of a hill 37 m high using 4000 J of work. How much energy was lost due to heat?

Step one:

given data

mass m= 10kg

height of the hill= 37m

work done= 4000J

Step two:

The quantity of energy loss due to heat is the same as the difference in the  potential energy possed by the mass and the work done

PE= mgh

PE=10*9.81*37

PE= 3629.7J

Hence the energy loss is

= 4000-3629.7

=370.3J

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s