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 smooth ramp is 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 3.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 4.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 180 N did 1620 J of work. How many metres did the object move?
- 6.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 12.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 13.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 210 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 250 N did 2250 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 120 N did 720 J of work. How many metres did the object move?
- 21.🏋️ A force of 160 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 240 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 28.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 32.🏋️ A 14 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 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 36.🏋️ A force of 300 N did 1500 J of work. How many metres did the object move?
- 37.🏋️ A 1 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.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 300 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- 950
- no, work stays the same
- less effort
- 5
- 9
- 1960
- 70
- 100
- joule (J)
- 350
- 4
- 3
- 120
- 1470
- 1000
- through a distance
- 100
- 9
- 450
- 6
- 640
- 4
- 2
- 3
- 960
- 950
- load ÷ effort
- 60
- 300
- 700
- 150
- 420
- 240
- 5
- 10
- 5
- 20
- 1000
- 150
- 2100
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