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 force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 12.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
- 16.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 17.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 19.🏋️ A force of 400 N did 3600 J of work. How many metres did the object move?
- 20.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 130 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 26.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 27.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 30.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 31.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 33.🏋️ A force of 260 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 36.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 390 N did 780 J of work. How many metres did the object move?
- 40.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 50
- 300
- 720
- 240
- 5
- 1160
- 900
- joule (J)
- 50
- 100
- 3
- 6
- 2
- 200
- 4
- through a distance
- 6
- 450
- 9
- 3
- 850
- 950
- 400
- 650
- 1
- 6
- 40
- 2000
- no, work stays the same
- 330
- 760
- less effort
- 1820
- 180
- 6
- 540
- 10
- 800
- 2
- 140
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