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, always (d) yes, by half
- 2.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 4.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 5.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 7.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 12.🏋️ A force of 210 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 170 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 17.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 6 m took 2520 J of work. What force was used, in newtons?
- 19.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 22.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 6 m took 480 J of work. What force was used, in newtons?
- 28.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 32.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 6 m took 840 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
- 37.🏋️ 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?
- 38.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 3 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.🏋️ Pushing a crate 10 m took 4800 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 2
- 330
- joule (J)
- 450
- less effort
- 60
- 2
- 950
- 850
- 320
- 840
- 340
- 2
- 6
- 5
- 1050
- 420
- 120
- 800
- through a distance
- 650
- 720
- 300
- 3
- 5
- 80
- 450
- 2500
- 30
- 8
- 1
- 1000
- 2
- 140
- 140
- 70
- 30
- 150
- 480
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