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.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 2.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
- 3.🏋️ A force of 330 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 5.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 7.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 8.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 10.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 15.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 500 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 24.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 27.🏋️ A force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 480 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 31.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 4 m took 1840 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 10
- 3300
- less effort
- 900
- 5
- joule (J)
- 50
- through a distance
- 600
- 330
- 1000
- 100
- load ÷ effort
- 600
- 850
- 600
- 500
- 5
- 4
- 2
- 1160
- 220
- 2900
- 850
- 1
- 280
- 450
- 480
- 4
- 120
- 800
- 460
- 6
- 560
- 250
- 250
- 850
- 6
- 120
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