Question 1
Question 1(b)
The bicycle has a motor with an electrical input power of 250 W .
Calculate the time for which the battery can power the bicycle.
EduNinjaThe bicycle has a motor with an electrical input power of 250 W .
Calculate the time for which the battery can power the bicycle.
Fig. 2.1 shows a conveyor belt transporting a package to a raised platform. The belt is driven by a motor.

Fig. 2.1
The package is raised through the vertical height of 2.4 m in 4.4 s .
Calculate the power needed to raise the package.
power =
Assume that the power available to raise packages is constant. A package of mass greater than 36 kg is raised through the same height.
Suggest and explain the effect of this increase in mass on the operation of the conveyer belt.
Fig. 2.1 shows a conveyor belt transporting a package to a raised platform. The belt is driven by a motor.

Fig. 2.1
The package is raised through the vertical height of 2.4 m in 4.4 s .
Calculate the power needed to raise the package.
power =
Assume that the power available to raise packages is constant. A package of mass greater than 36 kg is raised through the same height.
Suggest and explain the effect of this increase in mass on the operation of the conveyer belt.
[Total: 9]
Fig. 2.1 shows a simplified version of a 'gravity lamp'. This apparatus is used to light a light-emitting diode (LED) without mains electricity.

Fig. 2.1
The load of 12 kg is raised to a height of 1.7 m above the ground. The load is connected to a pulley system. The time taken for the load to fall to the ground is 1200 seconds. The load falls at constant speed. The generator is connected to an LED.
Calculate the rate of transfer of gravitational potential energy as the load falls to the ground.
Four electric motors do the same quantity of work when they lift a weight of 10 N through the same distance.
The times taken by each motor to lift the weight are shown.
What is the time taken by the motor which produces the most power?
1.5 s
6.0 s
15 s
60 s
Water is held behind a dam in a hydroelectric power scheme.
The water is released from the dam and falls a vertical height of 410 m at a rate of 480 kg/s.
Calculate the rate at which energy is transferred by the falling water.
A wind turbine has a maximum output power of 1.8 MW . The turbine operates at maximum power for 4.0 h .
Calculate the energy produced by the wind turbine operating at maximum power for 4.0 h . Give your answer in kWh.
energy = kWh [2]
A boy takes 0.60 s to lift a book of mass 0.60 kg from the top of a desk and place it on a shelf. The top of the desk is 0.80 m above the floor, and the shelf is 1.7 m above the floor. The gravitational field strength is 10 N/kg.

Which power does the boy develop?
0.9 W
1.7 W
9.0 W
17 W
A man can either take an escalator or a lift to travel up between two floors in a hotel.

escalator

lift
The escalator takes 20 seconds to carry the man between the two floors. The useful work done against gravity is W. The useful power developed is P.
The lift takes 30 seconds to carry the same man between the same two floors.
How much useful work against gravity is done by the lift, and how much useful power is developed by the lift?
useful work
done against
gravity by lift
useful power
developed by lift
more than W
less than P
more than W
P
W
less than P
W
P
A motor of power P exerts a force F on an object. The object moves a distance d during the time t that the force acts.
Which equation is used to calculate the time t ?
t=PdF
t=PFd
t=FPd
t=FdP