A15 g marble moves to the right at 3.5 m/s and makes an elastic head-on collision with a 22 g marble. the final velocity of the 15 g marble is 5.4 m/s to the left, and the final velocity of the 22 g marble is 2.0 m/s to the right.
what is the initial velocity of the 22 g marble?

a) 5.3 m/s to the left
b) 5.3 m/s to the right
c) 4.1 m/s to the right
d) 4.1 m/s to the left

≅-4.1 m/s (-ve for left)

≅4.1 m/s (To the left)

Explanation:

According to the conservation of momentum:

Momentum before collision=Momentum After Collision

Where:

is the 15g marble

is the 22 g marble

is the velocity of 15g marble before collision

is the velocity of 22g marble before collision

is the velocity of 15g marble after collision

is the velocity of 22g marble after collision

Note: -ve sign for left, +ve sign for right

We have to calculate v_2:

Above equation on rearranging will become:

≅-4.1 m/s (-ve for left)

≅4.1 m/s (To the left)

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.

the answer for apex is the lowest