What force must the driver apply to roll a barrel of diesel fuel into the car body over 3.75 m long planks?

What force must the driver apply to roll a barrel of diesel fuel into the car body over 3.75 m long planks? The mass of the barrel with fuel is 100 kg, and the height of the car body from the ground is 1.5 m.

S = 3.75 m.

m = 100 kg.

g = 9.8 m / s2.

h = 1.5 m.

F -?

Let us express the work A, which the driver performs in order to roll the barrel of diesel fuel into the body, by the formula: A = F * S, where F is the force exerted by the driver, S is the movement of the barrel, the length of the board.

We will assume that the barrel moves uniformly when moving, in this case F = m * g * sinα, where ∠α is the angle of inclination of the board relative to the ground.

sinα = h / S.

The formula for determining the driver’s strength will take the form: F = m * g * h / S.

F = 100 kg * 9.8 m / s2 * 1.5 m / 3.75 m = 392 N.

Answer: to roll the barrel, the driver must apply a force F = 392 N.