Question

a. How much work is done when a 185g tomato is lifted 15.0m? b. The tomato is dropped. What is the velocity, v, of the tomato when it hits the ground? Assume 82.1 % of the work done in Part A is transferred to kinetic energy, E, by the time the tomato hits the ground.

Answer 1

v = 18.92 m/s

Step-by-step explanation:

given,

mass of the tomato = 185 g = 0.185 Kg

height of the lift, h = 15 m

work done by lifting the tomato will be equal to the potential energy gained by the tomato.

W = PE

W = m g h

W = 0.185 x 9.8 x 15

W = 27.195 J

now,

E = 82.1 % of KE

`E = 0.821* (1)/(2) m v^2`

`27.195 = 0.821* 0.5* 0.185 * v^2`

0.07594 v² = 27.195

v² = 358.099

v = 18.92 m/s

speed of the tomato at which it hits ground is equal to 18.92 m/s.