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 smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 170 N did 680 J of work. How many metres did the object move?
- 3.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 5.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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)
- 8.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 500 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 10.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 11.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 12.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 360 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 180 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 17.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 440 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 430 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
- 22.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 24.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 25.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 100 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 29.🏋️ A force of 440 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 31.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 170 N did 340 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 7 m took 1750 J of work. What force was used, in newtons?
- 38.🏋️ A force of 390 N did 2730 J of work. How many metres did the object move?
- 39.🏋️ A force of 140 N did 560 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 550
- 4
- 150
- 230
- 120
- 950
- 250
- 450
- 4500
- joule (J)
- no, work stays the same
- 800
- 3240
- 100
- 1260
- load ÷ effort
- 180
- 200
- 3960
- 860
- 2
- 870
- 2
- through a distance
- 5
- 600
- 5
- 7
- 1320
- 6
- 650
- 700
- 2
- 800
- 5
- 2
- 250
- 7
- 4
- 350
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