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 machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 2.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 3.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 5.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ 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?
- 9.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 13.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 14.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 15.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 16.🏋️ 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?
- 17.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 23.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 6 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 180 N did 720 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 27.🏋️ A force of 480 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ 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
- 37.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
- 39.🏋️ 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?
- 40.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 5
- 70
- 90
- 4
- 6
- 6
- 420
- 60
- 400
- 400
- 340
- less effort
- joule (J)
- load ÷ effort
- through a distance
- 100
- 4
- 4
- 3
- 5
- 300
- 5
- 5
- 200
- 4
- 80
- 480
- 900
- 800
- 2000
- 750
- 180
- 200
- 1000
- 280
- no, work stays the same
- 350
- 6
- 360
- 30
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