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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 2.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 5.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 5 m took 800 J of work. What force was used, in newtons?
- 8.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 10.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 11.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 12.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 14.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 15.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 19.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 21.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 360 N did 2520 J of work. How many metres did the object move?
- 23.🏋️ A force of 310 N did 2170 J of work. How many metres did the object move?
- 24.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 120 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 10 m took 1600 J of work. What force was used, in newtons?
- 29.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 8 m took 3120 J of work. What force was used, in newtons?
- 31.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 120 N did 360 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 35.🏋️ A force of 50 N did 350 J of work. How many metres did the object move?
- 36.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 37.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 4 m took 1840 J of work. What force was used, in newtons?
Answer key
- load ÷ effort
- 180
- 2
- 440
- 130
- 420
- 160
- 440
- 8
- less effort
- no, work stays the same
- 7
- 6
- joule (J)
- 3
- 4
- 3
- 200
- 2400
- through a distance
- 5
- 7
- 7
- 300
- 70
- 450
- 600
- 160
- 7
- 390
- 810
- 3
- 500
- 1
- 7
- 5
- 20
- 4
- 200
- 460
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