Question

A 9.0 kg pink grapefruit is accelerated horizontally from rest to a velocity of 10.0 m/s in 5.00 s by a horizontal force. How much work is done on the pink grapefruit assuming no friction?

Answer 1

To calculate the work done on the pink grapefruit, you can use the formula: Work = Force x Distance. Since the grapefruit starts from rest and is accelerated horizontally, you can use Newton's second law to calculate the force applied. By plugging in the given values, the work done on the grapefruit is found to be 144 J.

Step-by-step explanation:

In order to calculate the work done on the pink grapefruit, we can use the formula:

Work = Force x Distance

Since the grapefruit starts from rest and is accelerated horizontally, we can use Newton's second law to calculate the force applied:

Force = Mass x Acceleration

Given that the mass of the grapefruit is 9.0 kg and the velocity is 10.0 m/s, we can find the acceleration using the following equation:

Acceleration = Velocity / Time

Plugging in the values, we get:

Acceleration = 10.0 m/s / 5.00 s = 2.0 m/s²

Substituting the values into the force equation:

Force = 9.0 kg x 2.0 m/s² = 18 N

Now we can calculate the work done:

Work = Force x Distance = 18 N x 8.0 m = 144 J