a 650 newton crate rests on the floor. how much work is required to move it at a constant speed, 3 meters against a friction force of 150 Newtons
Hahabab
To find the work required to move the crate at a constant speed against the friction force, we need to calculate the total work done against the friction force.
Work is defined as the product of force and displacement. The formula for work is:
Work = Force x Distance x cos(theta)
where:
- Work is the work done in joules (J).
- Force is the force applied in newtons (N).
- Distance is the displacement of the object in meters (m).
- theta is the angle between the applied force and the direction of displacement. In this case, since the force and displacement are in the same direction, the angle is 0 degrees, and cos(0) is equal to 1.
In this scenario, the force applied is the friction force, given as 150 N, and the distance moved against the friction force is 3 meters. The angle between the force and displacement is 0 degrees.
So, let's calculate the work:
Work = Force x Distance x cos(theta)
= 150 N x 3 m x cos(0)
= 150 N x 3 m x 1 (cos(0) equals 1)
= 450 J
Therefore, the work required to move the crate at a constant speed against the friction force is 450 joules (J).