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 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 6.🏋️ A force of 380 N did 1900 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 11.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ 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)
- 13.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ An 8 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 380 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ 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?
- 17.🏋️ 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)
- 18.🏋️ A force of 190 N did 1900 J of work. How many metres did the object move?
- 19.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 21.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 5 m took 2000 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 27.🏋️ 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?
- 28.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
- 31.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 250 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 38.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 40.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 450
- 470
- 4
- 800
- 30
- 5
- 4
- 480
- 300
- through a distance
- 180
- 500
- 750
- 160
- 2660
- 100
- 950
- 10
- 100
- joule (J)
- 700
- 100
- 140
- 400
- 650
- 4
- 80
- 1760
- 900
- 10
- 210
- 5
- 650
- 1750
- 4
- 560
- less effort
- 3360
- no, work stays the same
- 260
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