Question:
A $ 500 \,kg $ car takes a round turn of radius $ 50\, m $ with a velocity of $ 36\, km/h $ . The centripetal force is
A $ 500 \,kg $ car takes a round turn of radius $ 50\, m $ with a velocity of $ 36\, km/h $ . The centripetal force is
Updated On: Jul 13, 2024
- $ 250\,N $
- $ 750\,N $
- $ 1000\,N $
- $ 1200\,N $
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The Correct Option is C
Solution and Explanation
Given , m = 500 kg,
$ \nu = 36\,kmh^{-1} = 36 \times \frac{5}{18} = 10 \,ms^{-1} $ , r = 50 m
$ F =\frac{m\nu^2}{r} $
Hence, $ F=\frac{500 \times (10)^2}{50} $ = 1000 N
$ \nu = 36\,kmh^{-1} = 36 \times \frac{5}{18} = 10 \,ms^{-1} $ , r = 50 m
$ F =\frac{m\nu^2}{r} $
Hence, $ F=\frac{500 \times (10)^2}{50} $ = 1000 N
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration