Question

a stone of mass 5g is projected with a rubber catapult. if the catapult is stretched through a distance of 7cm by an average force of 70N, calculate the instantaneous velocity of the stone when released .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the instantaneous velocity of the stone when released, we can use the concept of work and energy.

First, let's calculate the work done by the rubber catapult when it is stretched through a distance of 7cm:

Work = Force x Distance
Work = 70N x 0.07m
Work = 4.9 J

Next, we can use the work-energy principle to relate the work done by the catapult to the final kinetic energy of the stone:

Work done by the catapult = Change in kinetic energy
4.9 J = 0.5 x m x v^2
4.9 J = 0.5 x 0.005kg x v^2
4.9 J = 0.0025v^2
v^2 = 4.9 J / 0.0025
v^2 = 1960
v = √1960
v = 44.28 m/s

Therefore, the instantaneous velocity of the stone when released by the rubber catapult is 44.28 m/s.