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A 500 g ball moves in a vertical circle on a 102-cm-long
Chapter 8, Problem 42P(choose chapter or problem)
Problem 42P
A 500 g ball moves in a vertical circle on a 102-cm-long siring. If the speed at the top is 4.0 m/s, then the speed at the bottom will be 7.5 m/s. (You’ll learn how to show this in Chapter 10.)
a. What is the gravitational force acting on the ball?
b. What is the tension in the string when the ball is at the top?
c. What is the tension in the string when the ball is at the bottom?
Questions & Answers
QUESTION:
Problem 42P
A 500 g ball moves in a vertical circle on a 102-cm-long siring. If the speed at the top is 4.0 m/s, then the speed at the bottom will be 7.5 m/s. (You’ll learn how to show this in Chapter 10.)
a. What is the gravitational force acting on the ball?
b. What is the tension in the string when the ball is at the top?
c. What is the tension in the string when the ball is at the bottom?
ANSWER:
Step 1 of 3
Part (a)
Our aim is to find the gravitational force acting on the ball in the vertical circle.
The mass of the ball \(\mathrm{m}=500 \mathrm{~g}=0.5 \mathrm{~kg}\)
The acceleration due to gravity \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)
The gravitational force is expressed as
\(F_{G}=m g\)
\(F_{G}=0.5 \times 9.8\)
\(F_{G}=4.9 \mathrm{~N}\)
The gravitational force acting on the ball is \(4.9 \mathrm{~N}\).
Part (b)