if a block of mass 2kg slides on an inclined plane making an angle of 60° with the horizontal.Then find work done by force of gravity

depends how far it slides. Just note the change in PE: mgh

To find the work done by the force of gravity on the block sliding down an inclined plane, we can use the formula:

Work = Force x Distance x cos(θ)

In this case, the force of gravity on the block is given by the formula:

Force of gravity = mass x acceleration due to gravity

Since the block is on an inclined plane, we need to find the component of the force of gravity acting along the direction of motion. This component can be found using the formula:

Force along incline = Force of gravity x sin(θ)

Now, we can calculate the force of gravity:

Force of gravity = mass x acceleration due to gravity
= 2 kg x 9.8 m/s^2
= 19.6 N

Next, we can calculate the force along the incline:

Force along incline = Force of gravity x sin(θ)
= 19.6 N x sin(60°)
= 19.6 N x 0.866
≈ 16.97 N

Finally, we can find the work done by the force of gravity using the formula:

Work = Force x Distance x cos(θ)

Since the block slides down the entire length of the inclined plane, the distance can be calculated using trigonometry as:

Distance = length of inclined plane x cos(θ)
= (length of inclined plane) x cos(60°)

For example, if the length of the inclined plane is 5 meters, we have:

Distance = 5 m x cos(60°)
= 5 m x 0.5
= 2.5 m

Now we can calculate the work done:

Work = Force x Distance x cos(θ)
= 16.97 N x 2.5 m x cos(60°)

Calculating this expression will give you the result of the work done by the force of gravity on the sliding block.