Question

A 0.0075 kg bullet is traveling at a speed of 365 m/s. My coffee cup, when full, has a total mass of about 1.25 kg. How fast must I throw my full coffee cup in order to have the same momentum as the bullet?

Answer 1

momentum = (p = mv)
Bullet Momentum____
p = (.0075kg)(365m/s)
p (bullet) = 2.74 kg · m/s

Coffee Cup Velocity___
p = mv [solve for v]
v = p/m
v = (2.74 kg·m/s)/ (1.25 kg) [sub in p(bullet) value]
v = 2.19 m/s

You will need to throw your coffee cup at a speed of 2.19 m/s in order to have the same momentum as the bullet.

Answer 2

2.19 m/s

Step-by-step explanation:

The momentum (p) is the product of the mass (m) and velocity (v) of an object.

p = m × v

The momentum of a 0.0075 kg bullet traveling at a speed of 365 m/s is:

p(bullet) = 0.0075 kg × 365 m/s = 2.74 kg.m/s

We want the 1.25 kg-coffee cup to have the same momentum than the bullet.

p(cup) = p(bullet) = 2.74 kg.m/s

p (cup) = m(cup) × v(cup)

2.74 kg.m/s = 1.25 kg × v(cup)

v(cup) = 2.19 m/s