In this worksheet, we will practice relating the rate of change of momentum of an object to the force acting on it, using the formula ∆p = Ft.

**Q1: **

An average force of 12.5 N is applied by moving air to a bicycle and its rider, of total mass 80 kg, while it is windy that day. The force is applied throughout a time interval of 0.8 s as the gust of wind is very brief. The wind blows from directly behind the bicycle. What is the total momentum change?

**Q2: **

A man running on a road had a momentum of 360 kg⋅m/s. The road ahead of the man was covered by sand. The man ran through the sand for 12 seconds and his momentum when he had crossed the sand-covered part of the road was 330 kg⋅m/s. What average force did the sand apply to the man while he ran across it?

**Q6: **

A frog of mass 30 g jumping into the air from a resting position accelerates to a speed of 12 cm/s in 0.025 s. How many newtons of force did the frog’s legs exert in the jump?

**Q7: **

A bicycle and its rider have a total mass of 72 kg, and they initially moved at a constant speed of 9 m/s. The bicycle was ridden in a straight line through a puddle for a time of 1.2 s and, when the bicycle had crossed the puddle, it had a momentum of 540 kg⋅m/s. What average force was applied to the bicycle by the puddle?

**Q8: **

A car has an initial momentum of 1 500 kg⋅m/s when the driver starts to speed it up, changing its momentum to 1 750 kg⋅m/s in a time of 0.75 s. Determine the average force that acts on the car’s wheels while it accelerates. Answer to the nearest newton.

**Q9: **

An object with an initial momentum of 20 kg⋅m/s is acted on by an average force of 2.5 N and comes to rest. For how long does the force act on the object?

**Q10: **

An object is decelerated by an average force of 15 N for a time of 0.5 s. What is the change in the object’s momentum?

**Q11: **

An object that has a momentum of 12 kg⋅m/s is acted on by a constant force for 8 seconds, after which the object’s momentum is 6 kg⋅m/s. Determine the force that acted on the object.

**Q12: **

A force of 8 N is applied to an object and the object’s momentum increases by 2 kg⋅m/s. How long is the force applied for?

**Q13: **

Which of the following formulas correctly relates the force acting on an object, the time for which that force acts, and the change in the momentum of the object?

- A
- B
- C
- D
- E

**Q14: **

The graph shows how the momentum of an object changes over the time interval to .

What constant force is applied to the object between and ?

What constant force is applied to the object between and ?

What force is applied to the object between and ?

What average force is applied to the object between and ? Answer to one decimal place.

What average force is applied to the object between and ?