Conservation of energy on ramps, swings and coasters
Grade 11 Science Worksheet
Circle the best answer, or write your answer on the line.
A toy coaster cart starts at rest and rolls down a frictionless track, dropping 5 m. With g = 9.8 m/s², how fast is it at the bottom, to the nearest tenth, Ari?
A toy coaster cart starts at rest and rolls down a frictionless track, dropping 1.8 m. With g = 9.8 m/s², how fast is it at the bottom, to the nearest tenth, Bo?
A toy coaster cart starts at rest and rolls down a frictionless track, dropping 2.5 m. With g = 9.8 m/s², how fast is it at the bottom, to the nearest tenth, Esme?
A 1 kg cart and a 3 kg cart roll from rest down the same frictionless ramp. Which is faster at the bottom, Jun?
- The 3 kg cart, since it is heavier
- The 1 kg cart, since it is lighter
- They have the same speed
A 3 kg cart and a 1 kg cart roll from rest down the same frictionless ramp. How do their kinetic energies at the bottom compare, Luz?
- They are equal, since the speeds match
- The 1 kg cart has more, since it is lighter
- The 3 kg cart has 3 times as much
In the energy bar chart, what is the bob's kinetic energy at its lowest point, Milo?
- 9.8 J
- 4.9 J
- 0 J
In the energy bar chart, how high does the bob rise on the other side, Pia?
Use the picture in question 6.
- 1 m
- 0.25 m
- 0.5 m, its starting height
A cart moving at 7 m/s rolls up a frictionless ramp. With g = 9.8 m/s², how high does it rise before stopping, Ren?
- 0.36 m, speed divided by 2g
- 5 m
- 2.5 m
A cart moving at 14 m/s rolls up a long frictionless ramp. With g = 9.8 m/s², how high does it rise before stopping, Tala?
- 0.71 m, speed divided by 2g
- 10 m
- 20 m
A cart moving at 4.2 m/s rolls up a short frictionless ramp. With g = 9.8 m/s², how high does it rise before stopping, Zee?
- 0.21 m, speed divided by 2g
- 1.8 m
- 0.9 m