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 machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 3.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 7.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 8.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 9.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 230 N did 1610 J of work. How many metres did the object move?
- 11.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 17.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 18.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ 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?
- 25.🏋️ 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?
- 26.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 29.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 170 N did 680 J of work. How many metres did the object move?
- 31.🏋️ A force of 200 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 33.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 2 m took 760 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 37.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 3
- through a distance
- 250
- 4230
- 250
- 270
- joule (J)
- 6
- 340
- 7
- 1
- 650
- 200
- 300
- 700
- no, work stays the same
- less effort
- 80
- 1000
- 2
- 250
- 350
- 170
- 550
- 60
- 1400
- 6
- 20
- 480
- 4
- 200
- load ÷ effort
- 1440
- 3
- 380
- 150
- 2900
- 3360
- 4
- 400
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