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 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 4 m took 1160 J of work. What force was used, in newtons?
- 4.🏋️ A force of 230 N did 920 J of work. How many metres did the object move?
- 5.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 7.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 350 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 10.🏋️ A force of 330 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 12.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 13.🏋️ 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)
- 14.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 15.🏋️ Pushing a crate 3 m took 1320 J of work. What force was used, in newtons?
- 16.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 20.🏋️ A force of 370 N did 1850 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Pushing a crate 8 m took 2800 J of work. What force was used, in newtons?
- 25.🏋️ A force of 400 N did 4000 J of work. How many metres did the object move?
- 26.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 29.🏋️ 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?
- 30.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 34.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 36.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 40 N did 160 J of work. How many metres did the object move?
- 40.🏋️ A force of 300 N did 1800 J of work. How many metres did the object move?
Answer key
- 450
- 6
- 290
- 4
- 360
- through a distance
- 5
- 2800
- joule (J)
- 1980
- load ÷ effort
- 2
- 100
- no, work stays the same
- 440
- 2250
- 120
- 60
- 1
- 5
- 600
- 400
- 650
- 350
- 10
- 680
- 2
- 270
- 60
- 480
- 150
- 8
- 3
- 600
- less effort
- 150
- 270
- 2
- 4
- 6
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