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 360 N did 360 J of work. How many metres did the object move?
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 6.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 8.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 9.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 10.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 17.🏋️ A force of 70 N did 420 J of work. How many metres did the object move?
- 18.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 20.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 23.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 27.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 9 m took 3240 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 31.🏋️ 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)
- 32.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 38.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 39.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
Answer key
- 1
- no, work stays the same
- 600
- 420
- 60
- 800
- 170
- less effort
- 320
- 680
- 350
- 800
- 2
- 3
- 200
- 130
- 6
- 600
- 9
- 300
- 250
- through a distance
- 1680
- 2
- 4
- 5
- 5
- 360
- 3
- 9
- 150
- 20
- 2
- 2000
- 6
- 100
- 5
- joule (J)
- 400
- 4
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