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) no effort (b) the same effort (c) more effort (d) less effort
- 2.🏋️ Pushing a crate 3 m took 540 J of work. What force was used, in newtons?
- 3.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 4.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 7.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 490 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 11.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 18.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ 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?
- 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 25.🏋️ 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)
- 26.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 28.🏋️ A force of 360 N did 2160 J of work. How many metres did the object move?
- 29.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 30.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 310 N did 1550 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ Pushing a crate 6 m took 1740 J of work. What force was used, in newtons?
- 36.🏋️ 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?
- 37.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 38.🏋️ A force of 410 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 9 m took 2880 J of work. What force was used, in newtons?
- 40.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- less effort
- 180
- 5
- 10
- 500
- no, work stays the same
- 4
- 3
- 3920
- joule (J)
- 1400
- 170
- 60
- 300
- 280
- 280
- 150
- 50
- 210
- 2
- 600
- 250
- 170
- load ÷ effort
- 950
- 5
- 420
- 6
- through a distance
- 700
- 190
- 5
- 5
- 800
- 290
- 220
- 20
- 3280
- 320
- 180
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