Question

A How much work is done when a 145 g tomato is lifted 10.6 m ? The tomato is dropped. What is the velocity, v, of the tomato when it hits the ground? Assume 82.8 % of the work done in Part A is transferred to kinetic energy, E, by the time the tomato hits the ground.

Answer 1

How much work is done when a 145 g tomato is lifted 10.6 m?

work done = mgh
                = 0.145 Kg x 9.8 m/s2 x 10.6 m
          = 15.0626 J
      
Therefore, the work done when a 145g tomato is lifted to 10.6 m is: 15.0626 J

The tomato is dropped. What is the velocity, v, of the tomato when it hits the ground?
Assume 82.8 % of the work done in Part A
is transferred to kinetic energy, E, by the time the tomato hits the ground.

Answer: work done is converted into 82.8 % of .kinetic energy

Therefore, the kinetic energy = (82.8/100)x 15.0626 J
                           = 12.472 J
                  (1/2)mv² = 12.472 J
       (1/2)(0.145 kg) v² = 12.472 J
                                        v² = 172
                                         v = 13.115 m/s
Therefore, the velocity of tomato when hits the ground = 13.115 m/s