Question

Two water balloons of mass 0.35 kg collide and bounce off of each other

without breaking. Before the collision, one water balloon moved at a velocity
of 2.5 m/s east, while the other moved at a velocity of 2.25 m/s west. After
the collision, one balloon moves at a velocity of 1.75 m/s west. What is the
velocity of the other water balloon?
O
A. 2 m/s west
O
B. 0.25 m/s east
O
C. 0.25 m/s west
O
D. 2 m/s east

Answer 1

2 m/s east

just did it ;D

Step-by-step explanation:

Answer 2

Option D

2 m/s East

Step-by-step explanation:

From the law of conservation of momentum, the sum of initial momentum equals the sum of final momentum

Momentum, p=mv where m is the mass and v is the velocity

Since the masses are the same then

`m(u_1+u_2)=m(v_1+v_2)`

Therefore

`u_1+u_2=v_1+v_2`

where
`v_1` and
`v_2` are final velocities of objects while
`u_1` and
`u_2` are the initial velocities respectively

Taking East direction as positive then West as negative and by substitution

`2.5+-2.25=v_1-1.75`

Therefore

`v_1=2 m/s` hence East since it's positive