Answer:
Mass of the car is 1576 kg.
Explanation:
Let the mass of the car be [tex]m[/tex] kg.
Given:
Initial velocity of the car is, [tex]u=25\ m/s[/tex]
As the car stops, final velocity of the car is, [tex]v=0\ m/s[/tex]
Change in momentum is, [tex]\Delta p=39400[/tex]
Now, we know that, momentum is given as the product of mass and velocity.
So, change in momentum is given as:
[tex]\Delta p=m(u-v)\\39400=m(25-0)\\39400=25m\\m=\frac{39400}{25}\\m=1576\ kg[/tex]
Therefore, the mass of the car is 1576 kg.