Motion in a circle

Grade 11 Science Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. 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?

  2. 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?

  3. 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?

  4. 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?

    • 40 m/s
    • 10 m/s
    • About 6.3 m/s
  5. To let a ball whirl faster on the same kind of string without snapping it, which change helps, Luz?

    • A heavier ball
    • A shorter string, for a smaller radius
    • A longer string, for a bigger radius
  6. Milo says an outward force throws a whirling ball outward when its string snaps. Agree or disagree?

    • Disagree: it moves off along its velocity
    • Agree: a force pushes it out from the center
    • Agree: the string pushed it out
  7. Noah says a cart moving at a steady speed on a circular track has zero acceleration. Agree or disagree?

    • Agree: inward and outward forces cancel
    • Disagree: its direction keeps changing
    • Agree: steady speed means no acceleration
  8. 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
    • Agree: gravity bends its path, but its sideways speed carries it around
    • Disagree: there is no gravity in orbit
  9. 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
  10. A cart doubles its speed. To keep the same force toward the center, how must the track radius change, Zee?

    • It must double, like the speed
    • It must halve
    • It must be 4 times as big
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Motion in a circle

Answer Key - Grade 11 Science Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. 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?

    4.93 m/s²
  2. 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?

    6.58 m/s²
  3. 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?

    29.61 m/s²
  4. 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?

    • 40 m/s
    • 10 m/s
    • About 6.3 m/s
  5. To let a ball whirl faster on the same kind of string without snapping it, which change helps, Luz?

    • A heavier ball
    • A shorter string, for a smaller radius
    • A longer string, for a bigger radius
  6. Milo says an outward force throws a whirling ball outward when its string snaps. Agree or disagree?

    • Disagree: it moves off along its velocity
    • Agree: a force pushes it out from the center
    • Agree: the string pushed it out
  7. Noah says a cart moving at a steady speed on a circular track has zero acceleration. Agree or disagree?

    • Agree: inward and outward forces cancel
    • Disagree: its direction keeps changing
    • Agree: steady speed means no acceleration
  8. 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
    • Agree: gravity bends its path, but its sideways speed carries it around
    • Disagree: there is no gravity in orbit
  9. 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
  10. A cart doubles its speed. To keep the same force toward the center, how must the track radius change, Zee?

    • It must double, like the speed
    • It must halve
    • It must be 4 times as big