Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 8 m took 3520 J of work. What force was used, in newtons?
- 2.🏋️ A force of 480 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 5 m took 2300 J of work. What force was used, in newtons?
- 9.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 11.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 13.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 210 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 500 N did 500 J of work. How many metres did the object move?
- 18.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 300 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 320 N did 1280 J of work. How many metres did the object move?
- 22.🏋️ A force of 230 N did 2300 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 27.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 100 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 30.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 33.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 35.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 250 N did 500 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 38.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 39.🏋️ A force of 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 440
- 4320
- 70
- 8
- 200
- 5
- 5
- 460
- 1380
- 210
- 10
- 170
- 1800
- 210
- 430
- 950
- 1
- 40
- 330
- 300
- 4
- 10
- 500
- 900
- 300
- through a distance
- 800
- 400
- joule (J)
- 170
- 2
- 5
- 1000
- less effort
- 310
- 2
- 30
- no, work stays the same
- 1400
- 500
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