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.
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- 1.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 2.🏋️ A force of 70 N did 210 J of work. How many metres did the object move?
- 3.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 6.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 9.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 10.🏋️ 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?
- 11.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 440 N did 2200 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 8 m took 1280 J of work. What force was used, in newtons?
- 20.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 420 N did 4200 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 6 m took 2940 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 27.🏋️ A force of 360 N did 3240 J of work. How many metres did the object move?
- 28.🏋️ A force of 360 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 31.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 420 N did 840 J of work. How many metres did the object move?
- 33.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 250 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 3
- 3
- 920
- less effort
- 500
- 6
- 5
- through a distance
- 330
- 700
- 50
- 30
- 5
- 150
- 3
- 550
- 200
- 160
- 950
- 3360
- 880
- 10
- 70
- 490
- 10
- 9
- 1440
- 240
- 300
- 200
- 2
- 250
- 300
- 50
- 50
- 2250
- 600
- 1250
- 400
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