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 force of 290 N did 870 J of work. How many metres did the object move?
- 2.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 4.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 5.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 1 m took 300 J of work. What force was used, in newtons?
- 9.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 10.🏋️ 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?
- 11.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 90 N did 900 J of work. How many metres did the object move?
- 19.🏋️ A force of 380 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 310 N did 2790 J of work. How many metres did the object move?
- 23.🏋️ 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?
- 24.🏋️ A force of 190 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ 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?
- 26.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 27.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 28.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 30.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 240 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ 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?
- 38.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 400
- 110
- joule (J)
- 650
- 600
- 1350
- 300
- less effort
- 40
- 880
- 400
- 440
- 2
- 450
- 750
- 1800
- 10
- 1520
- 300
- 5
- 9
- 80
- 1900
- 720
- no, work stays the same
- load ÷ effort
- 30
- 190
- 3080
- 5
- 480
- 200
- 2700
- 1200
- 930
- 100
- 110
- 3
- 520
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