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 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 470 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 12.🏋️ 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?
- 13.🏋️ A force of 220 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 220 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 470 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 6 m took 1260 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 24.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 25.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ 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?
- 28.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 390 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 190 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 160 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 270 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 33.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 34.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 340 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 400 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 180 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
Answer key
- 500
- no, work stays the same
- through a distance
- 250
- 950
- 70
- 4700
- 140
- 160
- 5
- 4
- 200
- 1980
- 30
- 180
- 220
- 800
- 1880
- 2
- 210
- 3
- 500
- 270
- less effort
- 2
- 2
- 300
- 160
- 1950
- 950
- 480
- 2700
- joule (J)
- 5
- 1700
- 1200
- 1400
- 250
- 1260
- 3
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