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 machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 2.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 3.🏋️ 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?
- 4.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 410 N did 2870 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 8.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 470 N did 3760 J of work. How many metres did the object move?
- 11.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 12.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 420 N did 3780 J of work. How many metres did the object move?
- 18.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 70 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ 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?
- 27.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 34.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 8 m took 3680 J of work. What force was used, in newtons?
- 36.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 38.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 39.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 40.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
Answer key
- 5
- through a distance
- 220
- 320
- 7
- 550
- no, work stays the same
- 70
- 6
- 8
- load ÷ effort
- 2800
- 700
- 4230
- 2
- 900
- 9
- 680
- 1000
- 2
- 800
- 490
- 880
- 560
- 250
- 120
- 4
- 2
- 200
- 750
- 6
- 1100
- 1
- 30
- 460
- 1500
- 2
- 5
- joule (J)
- 4
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