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) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 2.🏋️ Pushing a crate 5 m took 550 J of work. What force was used, in newtons?
- 3.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 4.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 6.🏋️ A force of 170 N did 170 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ 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)
- 10.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 2 m took 420 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 160 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 15.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ 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)
- 18.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 210 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 8 m took 3920 J of work. What force was used, in newtons?
- 25.🏋️ A force of 160 N did 1280 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 4 m took 1040 J of work. What force was used, in newtons?
- 28.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 9 m took 2250 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 130 N did 910 J of work. How many metres did the object move?
- 34.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 4 m took 1160 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 40.🏋️ A force of 230 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- joule (J)
- 110
- load ÷ effort
- 9
- no, work stays the same
- 1
- 3
- 310
- 1000
- 200
- 210
- 2
- 320
- 180
- 50
- 500
- 250
- 2
- 1000
- 2100
- 2
- 2
- 2
- 490
- 8
- 240
- 260
- 120
- 220
- 250
- 100
- 300
- 7
- 270
- 290
- 650
- 80
- 2
- 10
- 1840
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