The pictures shows a side view of a system of projectile launchers that shoot sm

Question

The pictures shows a side view of a system of projectile launchers that shoot small steel balls. The launchers are fired horizontally in such a way that the projectiles collide at the position marked by the circle with the cross in it, which is four meters above the ground and 1 meter to the left of the right launcher. The left launcher uses balls of mass M while the right launcher uses balls of mass 3M.

What is the range of each projectile?

The pictures shows a side view of a system of projectile launchers that shoot small steel balls. The launchers are fired horizontally in such a way that the projectiles collide at the position marked by the circle with the cross in it, which is four meters above the ground and 1 meter to the left of the right launcher. The left launcher uses balls of mass M while the right launcher uses balls of mass 3M. What is the range of each projectile?

Explanation / Answer

apply m1u1 = m2u2

here m1 = M

m2   = 3M

so u2 = u1/3

as u^2 = 2gh

u^2 = 2* 9.8 * 1

u = 4.42 m/s

so

u2 = 4.42/3

u2 = 1.475 m/s

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