Q67 / 90 · JEE Main 2023 (13 Apr Shift 2) · Physics

A vehicle of mass $200 kg$ is moving along a levelled curved road of radius $70 m$ with angular velocity of $0.2 rad s^{- 1}$ . The centripetal force acting on the vehicle is:

Correct answer
A
$560 N$
B
$2800 N$
C
$2240 N$
D
$14 N$

Solution

The centripetal force is given by
$F = \frac{M v^{2}}{R} = M R ω^{2}$
The given data is
$M = 200 kg R = 70 m ω = 0.2 rad s^{- 1}$
The magnitude of the force is
$F = 200 \times 70 \times 0 . 2^{2} N$
$\Rightarrow F = 560 N$

Hence, the correct answer is option: 'A'.

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A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with angular velocity of 0.2 rad s-1. The centripetal force acting on the vehicle is:

Solution

Relevant Questions

A vehicle of mass $200 kg$ is moving along a levelled curved road of radius $70 m$ with angular velocity of $0.2 rad s^{- 1}$ . The centripetal force acting on the vehicle is: