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 430 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 3.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 6.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 10.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 11.🏋️ Pushing a crate 7 m took 980 J of work. What force was used, in newtons?
- 12.🏋️ A force of 100 N did 700 J of work. How many metres did the object move?
- 13.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 6 m took 2280 J of work. What force was used, in newtons?
- 15.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 350 N did 1050 J of work. How many metres did the object move?
- 18.🏋️ A force of 110 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 420 N did 420 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 22.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 23.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 5 m took 1900 J of work. What force was used, in newtons?
- 25.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 26.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 29.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 33.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 37.🏋️ A force of 160 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 190 N did 950 J of work. How many metres did the object move?
- 39.🏋️ A force of 450 N did 2250 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
Answer key
- 1720
- 10
- 90
- 950
- no, work stays the same
- 700
- 6
- 2
- 5
- through a distance
- 140
- 7
- 150
- 380
- 20
- 400
- 3
- 770
- 1
- 90
- 200
- less effort
- 850
- 380
- joule (J)
- 1110
- 3
- 7
- 900
- 80
- 200
- 6
- 160
- 360
- 750
- 250
- 640
- 5
- 5
- 5
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