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A truck driver slams on the brakes and the momentum of the truck changes from <89000, 0, 0 > kg·m/s to < 33000, 0, 0> kg·m/s in 3.3 seconds due to a constant force of the road on the wheels of car. As a vector, write the net force exerted on the truck by the surroundings. N

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Answer:

<-16969.7, 0, 0> N

Explanation:

[tex]p_2[/tex] = Final momentum = < 33000, 0, 0> kg·m/s

[tex]p_1[/tex] = Initial momentum = <89000, 0, 0> kg·m/s

t = Time taken = 3.3 seconds

Impulse is given by

[tex]J=p_2-p_1\\\Rightarrow Ft=p_2-p_1\\\Rightarrow F=\dfrac{p_2-p_1}{t}\\\Rightarrow F=\dfrac{< 33000, 0, 0>-<89000, 0, 0>}{3.3}\\\Rightarrow F=\dfrac{<-56000, 0, 0>}{3.3}\\\Rightarrow F=<-16969.7, 0, 0>\ N[/tex]

The net force exerted on the truck is <-16969.7, 0, 0> N

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