Question

What velocity in km/hr would it take to accelerate a 2 kg object to the same momentum of a 1500 kg object with a velocity of 1.62 m/s

Answer 1

Answer:

4374 km/h

Explanation:

The momentum of the 1500 kg object is given by:

$p = mv$

where

m = 1500 kg is the mass

v = 1.62 m/s is the velocity

Substituting,

$p=(1500)(1.62)=2430 kg m/s$

We know that the smaller object of mass m' = 2 kg has the same momentum, so we can find its velocity by re-arranging the same equation:

$v' = \frac{p}{m'}=\frac{2430}{2}=1215 m/s$

Now to convert into km/h, keep in mind that:

1 km = 1000 m

1 h = 3600 s

So, we find

$v' = 1215 m/s \cdot \frac{3600 s/h}{1000 m/km}=4374 km/h$