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.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 2.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 4 m took 480 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 7 m took 1190 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 1 m took 240 J of work. What force was used, in newtons?
- 7.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 10.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 11.🏋️ A force of 40 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 240 N did 1440 J of work. How many metres did the object move?
- 13.🏋️ 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?
- 14.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 18.🏋️ 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?
- 19.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 24.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A 4 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 smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 420 N did 1680 J of work. How many metres did the object move?
- 28.🏋️ A force of 170 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ 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
- 31.🏋️ Pushing a crate 10 m took 3900 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 33.🏋️ An 18 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 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A 6 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 machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 8 m took 1120 J of work. What force was used, in newtons?
Answer key
- through a distance
- 6
- 800
- 120
- 170
- 240
- 340
- 700
- 3
- less effort
- 280
- 6
- 50
- 200
- 500
- 5
- 2
- 10
- 2
- 3
- 2
- 150
- load ÷ effort
- 650
- 80
- 50
- 4
- 1700
- 250
- no, work stays the same
- 390
- 470
- 900
- 100
- 1000
- 60
- 4
- 1350
- 3
- 140
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