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A string 1.0 m long breaks when it's tension is 100 N. What is the greatest speed at which it can be used to whirl a 1.0 kg stone? (neglect the gravitational pull of the earth on the stone)

User Demosten
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2 Answers

4 votes

V = √Tension / √mass/length

V = √100 / 1/1

V = √100

V = 10 m/s



User Rue
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8.7k points
3 votes

Speed ​​can be counted in many ways, depending on the values ​​we know, so that we can calculate the speed. Here we have a known value for tension 100 N. We also have a weight of 1kg stone whose speed we want to calculate. In this case we will use the formula for tension T = mg + ma, where we will ignore mg the expression due to the fact that we reject the influence of earth's gravity, so that we get the expression T = ma. From this expression we will extract the acceleration value and move it to the left side of the formula:

a = T/m, a - acceleration (m/s²), T - tension (N, kgm/s²), m - weight (kg), the length of the string is one meter.

a = 100(kgm/s²) / 1(kg) = 100 m/s² and the velocity is v = √a = √100 = 10 m/s.