Question

Three different mass projectiles are launched from the top of a building each at different angles of elevation. Each particle has the same initial kinetic energy. Which particle has the greatest speed just as it impacts with the ground?
a. They all will have the same speed on impact.
b. The one with the lowest mass.
c. The one launched at the highest angle of elevation.
d. The one with the highest mass.

Answer 1

b. The one with the lowest mass has the greatest speed

Explanation:

The kinetic energy of an object is given by

$K=\frac{1}{2}mv^2$

where

m is the mass of the object

v is the speed of the object

In this problem, the three projectiles have different mass, but same initial kinetic energy.

Assuming that there is no air resistance, the mechanical energy is conserved: this means that the three projectiles will have the same kinetic energy when they reach the ground (because the potential energy that they have lost is the same, since they have been launched from the same height, and they reach the same final altitude, the ground).

Therefore,

$K_1=K_2=K_3$

We see that the kinetic energy is proportional to the product between the mass and the square of the velocity: therefore, the projectile that has lowest mass must have the greater speed, in order to have the same kinetic energy of the other two.

Learn more about kinetic energy:

brainly.com/question/6536722

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