Use the information below to answer parts a–g. A ball is attached to a string and swung in a horizontal circle at a constant speed. Assume air resistance is negligible. a) Draw a free body diagram of the force(s) acting on the ball in the horizontal plane. Also include in your diagram any non-zero velocity and/or acceleration vector(s) of the ball. Label your coordinate system as the following: • Positive is towards the centre of the circle • Negative is away from the centre of the circle b) Circle A, B, C, or D below. The force(s) on the ball causing the circular motion changes A) only the direction of the
Use the information below to answer parts a–g.
A ball is attached to a string and swung in a horizontal circle at a
constant speed. Assume air resistance is negligible.
a) Draw a free body diagram of the force(s) acting on the ball in the horizontal
plane. Also include in your diagram any non-zero velocity and/or acceleration
vector(s) of the ball. Label your coordinate system as the following:
• Positive is towards the centre of the circle
• Negative is away from the centre of the circle
b) Circle A, B, C, or D below.
The force(s) on the ball causing the circular motion changes
A) only the direction of the ball.
B) only the speed of the ball.
C) both the direction and speed of the ball.
D) neither the direction nor the speed of the ball.
c) Circle True or False below.
The ball is accelerating.
i) True
ii) False
d) If the string tripled in length but the speed of the ball remained the same, show
mathematically how the inward force on the ball would change.
e) If the length of the string was unchanged but the speed of the ball doubled, show
mathematically how the inward force on the ball would change.
f) The ball is swung to revolve exactly 3 times in 1.0 s. What is the ball’s period?
g) The ball is swung to revolve exactly 3 times in 1.0 s on a 30.0 cm string. If the
string broke, what speed would the ball have when it is released?
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