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A ball of mass $0.25 \mathrm{~kg}$ attached to the end of a string of length $1.96 \mathrm{~m}$ is moving in a horizontal circle. The string will break if the tension is more than $25 \mathrm{~N}$. What is the maximum speed with which ball can be moved?
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1807 Upvotes
Verified Answer
The correct answer is:
$14 \mathrm{~m} / \mathrm{s}$
Tension of string $T=\frac{m v^{2}}{r}$
$$
25=\frac{0.25 \times v^{2}}{1.96}
$$
$$
v=14 \mathrm{~m} / \mathrm{s}
$$
$$
25=\frac{0.25 \times v^{2}}{1.96}
$$
$$
v=14 \mathrm{~m} / \mathrm{s}
$$
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