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.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 2.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 4.🏋️ 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?
- 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 330 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 410 N did 2050 J of work. How many metres did the object move?
- 11.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 13.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 330 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 22.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 25.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 27.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 430 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 170 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 460 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- joule (J)
- 1000
- load ÷ effort
- 280
- 1000
- 2640
- 750
- 480
- 2
- 5
- 130
- 9
- 40
- 1000
- 200
- 4
- 50
- 2500
- 250
- 660
- no, work stays the same
- 350
- 300
- through a distance
- 660
- less effort
- 3
- 800
- 3
- 3010
- 1700
- 250
- 2730
- 550
- 550
- 180
- 1840
- 100
- 750
- 800
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