JEE Main 2014 · 19 Apr · Shift 1 · Physics Q6

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PhysicsSingle correct+4 / -1Question 6 of 90

A ball of mass 160 g is thrown up at an angle of 60° to the horizontal at a speed of 10 ms $^{-1}$ . The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly ( $g=10$ ms $^{-2}$ )

1.73 kg m

^2

3.0 kg m

^2

3.46 kg m

^2

6.0 kg m

^2

Answer and worked solution

Official answer: B

At the top $v=10\cos60^\circ=5$ m/s, horizontal, at height $H=\dfrac{(10\sin60^\circ)^2}{2g}=3.75$ m.
$L=mvH=0.16\times5\times3.75=3.0\text{ kg m}^2\text{/s}.$

Topics:Angular momentum and its conservation Projectile motion

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JEE Main 2014 · 19 Apr · Shift 1, Physics question 6