An experiment is performed aboard the international space station to verify that linear momentum is conserved during collisions in a zero-g environment. the experiment involves a 3-d completely inelastic collision of three drops of honey. at the moment just before they all collide, the masses and velocities of the drops are
m1 = 31.5 g v1 = (12.7 m/s)x
m2 = 49.9 g v2 = (12.5 m/s)y
m3 = 78.1 g v3 = (15.9 m/s)z
what is your prediction for the speed, v, of the combined honey drop after the collision?
v = m/s

The speed of the combined honey drop after the collision is 9.05 m/s.

Explanation:

Given that,

The masses and velocities of the drops are

We need to calculate the total mass

Using formula of masses

Put the value into the formula

We need to calculate the velocity in x- direction

Using conservation of momentum

Put the value into the formula

We need to calculate the velocity in y- direction

Using conservation of momentum

Put the value into the formula

We need to calculate the velocity in z- direction

Using conservation of momentum

Put the value into the formula

We need to calculate the combined honey drop after the collision

Using formula of velocity

Put the value into the formula

The magnitude of velocity

Hence, The speed of the combined honey drop after the collision is 9.05 m/s.