What tension must a 42.1 cm length of string support in order to whirl an attached 1,000.0 g stone in a circular path at 2.85 m/s?

Respuesta :

Answer:

Tension in the string will be 19.293 N

Explanation:

We have given length of the string r = 42.1 cm = 0.421 m

Mass of the stone m = 1000 gram

We know that 1000 gram = 1 kg

Velocity in the circular path v = 2.85 m/sec

We have to find the tension in the string

Tension in the string will be equal to centripetal force

So tension [tex]T=\frac{mv^2}{r}[/tex], here m is mass, v is velocity and r is length of the string

So tension in the string [tex]T=\frac{1\times 2.85^2}{0.421}=19.293N[/tex]

So tension in the string will be equal to 19.293 N

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