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 force of 190 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 4.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 5.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 7.🏋️ A force of 460 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 8.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 400 N did 1600 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 1 m took 170 J of work. What force was used, in newtons?
- 13.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 14.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
- 15.🏋️ A force of 420 N did 3780 J of work. How many metres did the object move?
- 16.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 330 N did 3300 J of work. How many metres did the object move?
- 18.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 20.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 5 m took 2000 J of work. What force was used, in newtons?
- 22.🏋️ A force of 60 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 26.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 170 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 380 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
Answer key
- 760
- 340
- 5
- joule (J)
- 420
- less effort
- 1840
- 200
- 1000
- 50
- 4
- 170
- through a distance
- 140
- 9
- 4200
- 10
- 2400
- 300
- 180
- 400
- 600
- 280
- 150
- load ÷ effort
- 2
- 1000
- 550
- 750
- 80
- 1160
- 340
- 560
- 750
- 6
- 850
- 1520
- 5
- 1380
- 4
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