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A 5 kg sphere is accelerated upward by a string whose breaking strength is 200 N. The maximum value of acceleration with which the sphere can move without breaking the string is (take acceleration due to gravity. g = 10 m/s2)

A 5 kg sphere is accelerated upward by a string whose breaking strength is 200 N. The maximum value of acceleration with which the sphere can move without breaking the string is (take acceleration due to gravity. g = 10 m/s2) Correct Answer 30 m/s<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>

Concept:

Tension in the cord is given by

T = mg + ma

Where m = mass of sphere, g = acceleration due to gravity, a = maximum value of acceleration

Calculation:

Given:

m = 5 kg, T = 200 N, g = 10 m/s2

T = mg + ma

200 = 5 × 10 + 5 × a 

a = 30 m/s2

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