A wooden box is being pulled 10m from its original position along a horizontal surface by constant force of 25N calculate the work done on the box if the force is applied horizontally, and the force makes an angle of 37°.
horizontally: work=force*distance=25*10 Joules
At an angle: work=25*cos37*10
force is the force in the direction of movement...
To calculate the work done on the box, we can use the formula:
Work = Force x Distance x Cosine(angle)
In this case, the force applied on the wooden box is 25N and the box is being pulled 10m from its original position.
1. When the force is applied horizontally, the angle of the force is 0°. So the formula becomes:
Work = 25N x 10m x Cosine(0°)
Since Cosine(0°) = 1, the calculation simplifies to:
Work = 25N x 10m x 1
Work = 250 Nm
Therefore, when the force is applied horizontally, the work done on the box is 250 Nm.
2. When the force is applied at an angle of 37°:
Work = 25N x 10m x Cosine(37°)
To calculate the cosine of 37°, we can use a calculator or mathematical tables, which gives us:
Cosine(37°) = 0.7986 (rounded to four decimal places)
Now we can substitute this value into the formula:
Work = 25N x 10m x 0.7986
Work = 199.65 Nm
Therefore, when the force is applied at an angle of 37°, the work done on the box is approximately 199.65 Nm.