00:01
Starting with the first subpart, a, the rate at which mechanical energy is getting converted to thermal energy is nothing but the power which is given as p is equal to the force into the speed.
00:21
Force in the system is nothing but the weight which is m g times the velocity.
00:28
Substituting the values, the mass is given as 2 ,000 kilograms.
00:35
Gravity, acceleration due to gravity is 9 .8 meter per second square and the speed is given as 1 .5 meter per second.
00:47
Therefore the rate of conversion of mechanical energy to thermal energy is 29 ,400 watts.
00:58
Moving to the second, part b we know that according to conservation of energy the gravitational potential energy is equal to the spring energy and we know that gravitational potential energy is equal to mg h and the spring energy is given as half kd square here the height h is equal to the distance by which the spring has compressed plus the distance corresponding to the free fall which is equal to 5 meters therefore h is equal to d plus 5 now substituting the values the mass is 2 ,000 kilograms acceleration due to gravity is 9 .8 meter per second square the height is d plus 5 is equal to half times the spring constant is given as 1 .5 into 10 to the power 4 newton per meter times d.
02:10
Therefore we can write this as 196 d plus 98 ,000 is equal to 7 ,500 times d...