Work done by constant force - find unknown force, angle, or distance

1 A block is pulled for a distance of 50 m along a horizontal floor, by a rope that is inclined at an angle of \(\alpha ^ { \circ }\) to the floor. The tension in the rope is 180 N and the work done by the tension is 8200 J . Find the value of \(\alpha\).

1 A block is pulled in a straight line along horizontal ground by a force of constant magnitude acting at an angle of \(60 ^ { \circ }\) above the horizontal. The work done by the force in moving the block a distance of 5 m is 75 J . Find the magnitude of the force.

1 A car is pulled at constant speed along a horizontal straight road by a force of 200 N inclined at \(35 ^ { \circ }\) to the horizontal. Given that the work done by the force is 5000 J , calculate the distance moved by the car.

1 A child is pulling a toy block in a straight line along a horizontal floor.
The block is moving with a constant speed of \(2 \mathrm {~ms} ^ { - 1 }\) by means of a constant force of magnitude 20 N acting at an angle of \(\theta ^ { \circ }\) above the horizontal. The work done by the force in 10 s is 350 J . Calculate the value of \(\theta\).