Question Paper from: JEE Main 2021 - Paper 1

In the given arrangement spring of spring, constant 100N/m is compressed by 0.5m. The height of the arrangement is 2m. A basket is placed at a distance d such that after projection the ball will fall in the basket. If the mass of the ball is 100 gm, find the maximum value of d in meter?

Correct Answer :

Solution:

Chapter Name: Work Energy And Power

Difficulty Level: Difficulty

By Energy conversation

$\frac{1}{2} k x^{2} = \frac{1}{2} m v^{2}$

$\Rightarrow v = x \frac{k}{m}$

$v = 0.5 \times \frac{100}{0.1} = 510 m / s$

Flight Time T $= \frac{2 H}{g} = \frac{2}{10}$

Range of ball $s = u t$

$d = 510 \times \frac{2}{10} = 10 m$

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