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 longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 2.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ 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)
- 6.🏋️ A force of 410 N did 3280 J of work. How many metres did the object move?
- 7.🏋️ 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?
- 8.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 11.🏋️ A force of 160 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 200 N did 1200 J of work. How many metres did the object move?
- 14.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 15.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 16.🏋️ 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?
- 17.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 5 m took 2100 J of work. What force was used, in newtons?
- 20.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 21.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 22.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 23.🏋️ Pushing a crate 8 m took 3280 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 32.🏋️ 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?
- 33.🏋️ Pushing a crate 10 m took 2000 J of work. What force was used, in newtons?
- 34.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 1 m took 200 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ 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?
Answer key
- less effort
- 1850
- 330
- 10
- 200
- 8
- 450
- 4
- 650
- 9
- 640
- 5
- 6
- joule (J)
- 6
- 560
- 900
- 6
- 420
- no, work stays the same
- through a distance
- load ÷ effort
- 410
- 100
- 180
- 3
- 850
- 150
- 600
- 700
- 220
- 150
- 200
- 520
- 30
- 950
- 200
- 5
- 170
- 390
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