Question Detail

PHY 101 Circular Motion Objective Question

Question

Continuing from the previous scenario (4 kg ball, radius 2 m, period 0.5 s), what is the tension in the cord?
Options
A 64π² N
Correct Answer
B 16π² N
C 128π² N
D 32π² N
Correct Answer

Option A is the correct answer.

Detailed Explanation

The tension provides the centripetal force, F = mv²/r. From the previous question, v = 8π m/s. So, F = (4 kg * (8π m/s)²) / 2 m = (4 * 64π²) / 2 = (256π²)/2 = 128π² N.

Hint

Tension equals the centripetal force. Calculate v first using v = 2πR/T, then substitute into F = mv²/r.

Question Info