Motion in a circle
Grade 11 Science Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
A cart takes 4 s to go once around a circular track of radius 2 m. To the nearest hundredth, what is its acceleration toward the center, Ari?
A cart takes 3 s to go once around a circular track of radius 1.5 m. To the nearest hundredth, what is its acceleration toward the center, Bo?
A cart takes 2 s to go once around a circular track of radius 3 m. To the nearest hundredth, what is its acceleration toward the center, Esme?
A string breaks above 20 N. A 0.5 kg ball whirls on it in a horizontal circle of radius 1 m. What is the fastest speed it can take, Jun?
- About 6.3 m/s
- 40 m/s
- 10 m/s
To let a ball whirl faster on the same kind of string without snapping it, which change helps, Luz?
- A longer string, for a bigger radius
- A shorter string, for a smaller radius
- A heavier ball
Milo says an outward force throws a whirling ball outward when its string snaps. Agree or disagree?
- Agree: a force pushes it out from the center
- Agree: the string pushed it out
- Disagree: it moves off along its velocity
Noah says a cart moving at a steady speed on a circular track has zero acceleration. Agree or disagree?
- Agree: steady speed means no acceleration
- Disagree: its direction keeps changing
- Agree: inward and outward forces cancel
Pia says a model satellite in a circular orbit is falling toward the planet the whole time. Agree or disagree?
- Disagree: it floats at rest
- Disagree: there is no gravity in orbit
- Agree: gravity bends its path, but its sideways speed carries it around
Two carts run at the same speed: one on a 1 m track and one on a 4 m track. How do their accelerations compare, Ren?
- The 4 m cart's is 4 times as big
- The 1 m cart's is 4 times as big
- They are equal
A cart doubles its speed. To keep the same force toward the center, how must the track radius change, Zee?
- It must halve
- It must be 4 times as big
- It must double, like the speed

