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.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 2.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 4.🏋️ A force of 240 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 6.🏋️ A force of 400 N did 2400 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 8.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 9.🏋️ A force of 150 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 13.🏋️ Pushing a crate 2 m took 840 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 18.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 470 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 22.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 330 N did 1980 J of work. How many metres did the object move?
- 25.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 30.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 150 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 320 N did 2240 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 38.🏋️ A force of 30 N did 180 J of work. How many metres did the object move?
- 39.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
Answer key
- less effort
- 5
- 90
- 2400
- 1
- 6
- 3
- through a distance
- 600
- 850
- load ÷ effort
- no, work stays the same
- 420
- 100
- 40
- 3
- 110
- 460
- 3
- 2350
- 330
- 160
- 210
- 6
- 220
- 2
- 1800
- 850
- 4
- 800
- 50
- 250
- 450
- 720
- 2
- 7
- 380
- 6
- 2960
- 370
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