When a force moves an object through a distance, work is said to be done. Work done is the energy transferred and it can be calculated using the formula: Work Done = Force × Distance moved in the direction of the force. It is measured in Joules, J.
Power is defined as the rate of energy transfer and is measured in Watts, W. It can be calculated using: Power = energy transferred/time.
A force-displacement graph is drawn by plotting the force acting on an object on the y-axis and the distance travelled on the x-axis. The area under the plotted graph is equal to the work done on or by the object.
A drop tower at an amusement park has a power of 253000 W. Given that the total mass of the ride and passengers is 9500 kg, calculate the time taken by the drop tower to raise the passengers to a vertical height of 15 m. Use g = 9.8 m/s².
An object is travels for 5 m by exerting a constant forward force of 23 N. It then decreases the force it is exerting to 0 at a constant rate. The object travels another 3 m while doing this. Plot a force-displacement graph for the object.
A force-displacement graph is plotted for the motion of an object. Given that the area under the graph is 1500 Nm² and that the object is exerting a constant force of 35 N, calculate the distance the object travels.
A force-displacement graph is plotted for the motion of an object of a distance 7 m. Given that the area under the graph is 870 Nm² and that the force exerted by the object is constant, calculate the force exerted by the object.
An object travels as shown by the force-displacement graph given. Given that the area under the first section of the graph is 75 J, the area under the second section of the graph is 300 J and that the total work done by the object is 425 J, find the total distance travelled in the third section of the graph.
An object travels as shown by the force-displacement graph given. Given that the area under the second section of the graph is 720 units², the area under the third section of the graph is 120 units² and that the total work done by the object is 1340.5 J, find the inital force exerted by the object.
A boy pushes a box of mass 7 kg with a constant horizontal force of 30 N for 2.5 m. He then pushes a box of 10 kg with the same constant horizontal force for the same distance of 2.5 m. Which box does the boy do more work on?
A ski lift lifts its passengers through a vertical height of 600 m in 7 minutes. Given that the total mass of the ski lift and the passengers is 8000 kg, calculate the power of the ski lift. Use g = 9.8 m/s².