Final answer:
The work of the gravity force on a body with a mass of 60 kg sliding down an incline with a height of 0.8 m is calculated using the formula W = m*g*h. The calculated work done by gravity is 470.4 joules.
Step-by-step explanation:
To calculate the work of the gravity force on a body sliding down an incline, we will use the formula for gravitational work, which is the product of the force due to gravity (weight of the object), the height of the incline, and the cosine of the angle between the force and the direction of motion. Since the question refers to a vertical movement, the angle is 0 degrees (cosine of 0 degrees is 1), making the calculation straightforward:
W = m*g*h
where:
- W is the work done by gravity (in joules, J)
- m is the mass of the body (in kilograms, kg)
- g is the acceleration due to gravity (9.8 m/s2 on Earth)
- h is the height of the incline (in meters, m)
Plug in the given values:
W = 60 kg * 9.8 m/s2 * 0.8 m
W = 470.4 J
The work of the gravity force as the body slides down the incline is 470.4 joules.