Question

A body is displaced through a certain distance x by a force of 30n. if the work done is 100j and the displacement is in the direction of force, what is the value of x​

Answer 1

The displacement x can be found by rearranging the work done formula W = Fx where W is 100 joules and F is 30 newtons. After calculation, the displacement x is 3.33 meters.

Step-by-step explanation:

To find the displacement x when the force and work are known, you can use the work-energy principle which states that work done on an object is equal to the change in its kinetic energy. Because the direction of the displacement is the same as the direction of the force, the work done can be calculated as the product of force and displacement (W = Fx). In this case, the work done W is given as 100 joules and the force F is 30 newtons.

To find the value of the displacement x, we can rearrange the work done formula to solve for x:
W = Fx
100 J = 30 N × x
x = 100 J / 30 N
x = 3.33 meters
Therefore, the displacement x is 3.33 meters.

Answer 2

The work done on an object by a constant force is given by the formula:

W = Fd cos(theta)

where:

W = work done (in joules)

F = applied force (in newtons)

d = displacement (in meters)

theta = angle between the force and displacement vectors (in degrees)

In this case, the force is in the same direction as the displacement, so the angle between them is 0 degrees. Therefore, we can simplify the formula to:

W = Fd

We are given that the work done is 100 J and the force is 30 N. Substituting these values into the formula, we get:

100 J = 30 N * d

Solving for d, we get:

d = 100 J / (30 N) = 3.33 meters

Therefore, the displacement is 3.33 meters.