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) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 2.🏋️ Pushing a crate 8 m took 2880 J of work. What force was used, in newtons?
- 3.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 7.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 300 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 350 N did 2450 J of work. How many metres did the object move?
- 11.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ 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
- 14.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 410 N did 2460 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 7 m took 2240 J of work. What force was used, in newtons?
- 20.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 22.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 23.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 24.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 26.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 5 m took 450 J of work. What force was used, in newtons?
- 29.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ 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)
- 31.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 34.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 37.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- 360
- 3360
- 700
- load ÷ effort
- less effort
- 660
- 5
- 2700
- 7
- 460
- 140
- no, work stays the same
- 2250
- 6
- 3600
- 6
- 6
- 320
- 140
- 190
- through a distance
- 40
- 160
- 4
- 100
- 350
- 90
- 1000
- 850
- 450
- 550
- 410
- 280
- 240
- 8
- 5
- 2
- 750
- 550
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