A 8.8-kg object is moving at 5.3 m/s. A 7.4-N force is applied in the direction of motion and then removed after the object has traveled 4.7 m. The work done by this force is:
14J
To find the work done by a force, you can use the formula:
Work = Force x Distance x Cos(θ)
Where:
- Work is the work done by the force.
- Force is the magnitude of the force applied.
- Distance is the displacement of the object.
- θ is the angle between the force vector and the displacement vector.
In this case, the force is 7.4 N, the object has traveled a distance of 4.7 m, and the force is applied in the direction of motion. Therefore, the angle θ between the force vector and displacement vector is 0 degrees, since they are in the same direction.
Let's calculate it:
Work = 7.4 N x 4.7 m x Cos(0°)
Since Cos(0°) is equal to 1, the equation simplifies to:
Work = 7.4 N x 4.7 m x 1
Multiplying the numbers together, we get:
Work = 34.78 Joules
Therefore, the work done by the force is 34.78 Joules.