An object of mass m=2kg travels up an incline to a vertical height of 3m. What is the work done on the object by gravity?

To calculate the work done on the object by gravity, you need to use the formula:

Work = Force * Distance * cosine(theta)

In this case, the force is the force of gravity acting on the object, which can be calculated using the formula:

Force = mass * gravitational acceleration

The distance is the vertical height the object is lifted, which is given as 3m. The angle theta is the angle between the incline and the horizontal, but since the incline is not specified, we can assume it is a vertical incline, making theta 90 degrees.

Therefore, let's break down the steps to calculate the work done by gravity:

1. Determine the force of gravity acting on the object:
Force = mass * gravitational acceleration
Force = 2 kg * 9.8 m/s^2 (assuming standard gravity)
Force = 19.6 N

2. Calculate the work done by gravity:
Work = Force * Distance * cosine(theta)
Work = 19.6 N * 3 m * cosine(90 degrees)
Work = 0 J (since the angle is 90 degrees, the cosine is 0)

Therefore, the work done on the object by gravity is 0 Joules.