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) more effort (b) the same effort (c) no effort (d) less effort
- 2.🏋️ Pushing a crate 7 m took 2940 J of work. What force was used, in newtons?
- 3.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 6.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 7.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 1 m took 250 J of work. What force was used, in newtons?
- 9.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 10.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 220 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 16.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 17.🏋️ A force of 290 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ 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?
- 22.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ 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)
- 28.🏋️ 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)
- 29.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 30.🏋️ 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?
- 31.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 70 N did 210 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 35.🏋️ 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?
- 36.🏋️ Pushing a crate 4 m took 800 J of work. What force was used, in newtons?
- 37.🏋️ A force of 70 N did 350 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 490 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- less effort
- 420
- 240
- 650
- load ÷ effort
- through a distance
- 190
- 250
- joule (J)
- 750
- 1980
- 630
- 50
- 900
- 410
- no, work stays the same
- 2610
- 100
- 2
- 600
- 240
- 5
- 750
- 360
- 900
- 400
- 950
- 950
- 6
- 400
- 400
- 800
- 3
- 140
- 420
- 200
- 5
- 400
- 3
- 1470
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