Answer :
Final answer:
To find the work done by the force of gravity, calculate the change in gravitational potential energy by multiplying the mass of the block, the acceleration due to gravity, and the change in height. The work done by the force of gravity is equal to the change in gravitational potential energy. In this case, the work done is 245 J.
Explanation:
To find the work done by the force of gravity, we need to calculate the change in gravitational potential energy of the block as it slides down the incline.
- Calculate the change in height by multiplying the length of the incline (10 m) by the sine of the inclination angle (30°).
- Multiply the mass of the block (5.0 kg) by the acceleration due to gravity (9.8 m/s²) and the change in height to find the change in gravitational potential energy.
- The work done by the force of gravity is equal to the change in gravitational potential energy.
Work = mgh = (5.0 kg)(9.8 m/s²)(10 m sin 30°)
Work = 245 J
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