A 60 g ball is tied to the end of a 70 -cm-long string and swung in a vertical circle. The center of the circle, as shown in the

Question

3 years ago

14

figure,(figure 1) is 150 cm above the floor. The ball is swung at the minimum speed necessary to make it over the top without the string going slack.

1 answer:

dangina [55] · Answer 1 · 2023-01-20T03:33:24+03:00

The tension in the string an instant before it broke is; T = 0.86 N

<h3>What is the Tension in the string?</h3>

We are given;

mass of ball; m = 60 g = 0.06 kg

Length of string; L = 70 cm = 0.7 m

Height the ball reaches; h = 150 cm = 1.5 m

From Newton's equation of motion;

v² - u² = 2as

where v = 0 m/s Thus;

-u² = 2(-9.81 * (1.5 - 0.7)

u² = 15.696

u = √15.696

u = 3.17 m/s

Thus, tension is;

T = mu²/L

T = (0.06 * 3.17²)/0.7

T = 0.86 N

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