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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 4.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 6.🏋️ 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?
- 7.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 8.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 8 m took 3920 J of work. What force was used, in newtons?
- 10.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ 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
- 12.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 13.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 14.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 22.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 23.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 27.🏋️ A force of 210 N did 420 J of work. How many metres did the object move?
- 28.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 470 N did 2350 J of work. How many metres did the object move?
- 30.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 31.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A 13 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.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 34.🏋️ A force of 170 N did 1700 J of work. How many metres did the object move?
- 35.🏋️ A force of 70 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 39.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 40.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 950
- 800
- joule (J)
- 950
- 3
- 160
- 170
- 1960
- 490
- 1550
- no, work stays the same
- 2
- less effort
- 500
- 3
- 160
- 600
- 50
- 500
- 2
- 4
- through a distance
- 4800
- 150
- 420
- 370
- 2
- 10
- 5
- 10
- 960
- 130
- 300
- 10
- 490
- 120
- 900
- 8
- 2
- 390
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