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.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 2.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 3.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 4.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 5 m took 1500 J of work. What force was used, in newtons?
- 6.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 7 m took 910 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ 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?
- 14.🏋️ Pushing a crate 8 m took 2480 J of work. What force was used, in newtons?
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 17.🏋️ 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)
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 20.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 360 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ 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?
- 24.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 5 m took 2450 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 32.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 35.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 38.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- load ÷ effort
- 3
- less effort
- 50
- 300
- 390
- 70
- 100
- 130
- 4
- 1410
- 300
- 160
- 310
- no, work stays the same
- through a distance
- 650
- 400
- 190
- 600
- 2880
- 390
- 30
- 400
- 3150
- 490
- 300
- 150
- 3
- 800
- joule (J)
- 40
- 6
- 70
- 90
- 280
- 170
- 800
- 900
- 900
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