A 100 g tennis ball attached to a string is rotated about a 3 meter radius. If the string broke when it was at 15 N of tension, how fast was the ball moving?

Question

Quizplus · Accepted Answer

In this question, we use the formula for the centripetal acceleration;
 11ec0fda_9989_6ca6_a67f_8d0703ffae58_NR0004_00 a = centripetal acceleration
V = velocity
r = radius of the circular path
STEP 1. Since acceleration is not given, we find it out by using Newton's second law of motion equation;
F = ma
Filling in the values;
 11ec0fda_9989_6ca7_a67f_cb4579b88618_NR0004_00 STEP 2. Then, we use the formula for the centripetal acceleration to find out the velocity of the ball.
 11ec0fda_9989_6ca8_a67f_c33842354ee3_NR0004_00 a= centripetal acceleration
V= velocity
r= radius of the circular path
Convert the equation:
 11ec0fda_9989_6ca9_a67f_9121e6e66dd3_NR0004_00 Fill in the values:
 11ec0fda_9989_6caa_a67f_793154d37976_NR0004_00

A 100 G Tennis Ball Attached to a String Is