A ball of mass 0.2 π‘˜π‘” rests on a vertical post of height 5 π‘š. A bullet of mass 0.01 π‘˜π‘”, travelling with a velocity 𝑉 π‘š/𝑠 in a horizontal direction, hits the center of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 π‘š and the bullet at a distance of 100 π‘š from the foot of the post. The initial velocity 𝑉 of the bullet is

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Physics Problems

Question: A ball of mass 0.2 π‘˜π‘” rests on a vertical post of height 5 π‘š. A bullet of mass 0.01 π‘˜π‘”, travelling with a velocity 𝑉 π‘š/𝑠 in a horizontal direction, hits the center of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 π‘š and the bullet at a distance of 100 π‘š from the foot of the post. The initial velocity 𝑉 of the bullet is

(A) 250 π‘š/𝑠

(B) 250 \sqrt{2} π‘š/𝑠

(C) 400 π‘š/𝑠

(D) 500 π‘š/𝑠

Answer: Option (D)

Solution:

A ball of mass 0.2 π‘˜π‘” rests on a vertical post of height 5 π‘š. A bullet of mass 0.01 π‘˜π‘”, travelling with a velocity 𝑉 π‘š/𝑠 in a horizontal direction, hits the center of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 π‘š and the bullet at a distance of 100 π‘š from the foot of the post. The initial velocity 𝑉 of the bullet is
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