Question

L) 2000N
ע
2
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9. Centripetal force acting on a body moving in a circular path of radius 60m is 100N. If the body is
moving with 10m/s, find its mass
A) 6000 kg
B) 600 kg
C) 60 Kg
D) 6 Kg​

Answer 1

Answer:

Mass is 60kg

Explanation:

Centripetal force F = 100N

radius r = 60m

velocity v= 10m/s

centripetal force is

$f = \frac{m {v}^{2} }{r} \\ m = \frac{f \times r}{ {v}^{2} } \\ m = \frac{100 \times 60}{ {10}^{2} } \\ m = 60kg$

mass is 60kg

Answer 2

Answer:

Your answer is C) 60 Kg

Explanation:

Radius of the circular path = r = 60 m

Magnitude of the velocity of the moving body = v = 10 m/s

Let the mass of the body be m

We know that,

$Centripetal \: force \: = \: \frac{mv^{2}}{r}\\ \Rightarrow 100\: N \: = \: \frac{mv^{2}}{r}\\ \Rightarrow 100\: N \: = \:\frac{m×10^{2}}{60}\\ \Rightarrow 100\: N \:= \: \frac{100m}{60}\\ \Rightarrow \frac{100×60}{100} \:= \: m\\ \Rightarrow m \: = \: 60 \: Kg$