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 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 150 N did 600 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 7.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 8.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 10.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 1 m took 460 J of work. What force was used, in newtons?
- 13.🏋️ 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?
- 14.🏋️ Pushing a crate 1 m took 500 J of work. What force was used, in newtons?
- 15.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 16.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 6 m took 480 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A 13 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 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 420 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 28.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 30.🏋️ An 18 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 force of 390 N did 3510 J of work. How many metres did the object move?
- 32.🏋️ A force of 50 N did 400 J of work. How many metres did the object move?
- 33.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 35.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 37.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 40.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
Answer key
- 200
- 50
- 300
- 4
- 500
- 5
- load ÷ effort
- 120
- joule (J)
- 5
- 980
- 460
- 80
- 500
- no, work stays the same
- 440
- 80
- 500
- 1380
- 650
- 150
- 2940
- 650
- 850
- 200
- 260
- 150
- 70
- 330
- 180
- 9
- 8
- 3500
- 370
- 20
- 130
- 450
- 160
- less effort
- 3
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