Answer:
The speed of the car is 18.75 m/s
Explanation:
Impulse-Momentum Change Equation
The impulse received by an object is equal to the change in momentum:
Impulse = Change in momentum
The change in momentum is:
[tex]\Delta p=m\Delta v=m(v_2-v_1)[/tex]
Where m is the mass of the object, v2 is the final speed, and v1 is the initial speed. This means the impulse J is:
[tex]J=m(v_2-v_1)[/tex]
It's given an m=1,600 kg car is moving at v1=25 m/s North and then an impulse of J=-10,000 N.s is applied South. The minus sign indicates the impulse is opposite to the original direction of the velocity.
Solving for v2:
[tex]\displaystyle v_2=\frac{J}{m}+v_1[/tex]
Substituting:
[tex]\displaystyle v_2=\frac{-10,000}{1,600}+25[/tex]
[tex]\displaystyle v_2=-6.25+25=18.75[/tex]
[tex]v_2=18.75\ m/s[/tex]
The speed of the car is 18.75 m/s
