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Question: A car is moving on a horizontal circular road of radius 100 m with a uniform speed 10 ms<sup>-1</sup...

A car is moving on a horizontal circular road of radius 100 m with a uniform speed 10 ms-1. It suddenly accelerates at 1 ms-2. The acceleration is

A

1 ms-2

B

√2 ms-2

C

2 ms-2

D

√5 ms-2

Answer

√2 ms-2

Explanation

Solution

anet(v2r)2+a2=(102100)2+12=2ms−2\sqrt{\left( \frac{v^{2}}{r} \right)^{2} + a^{2}} = \sqrt{\left( \frac{10^{2}}{100} \right)^{2} + 1^{2}} = \sqrt{2}ms^{- 2}