Answered

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A 2200 kg car traveling at 25 m / s [S] stops in 10 s.

Determine:
the acceleration of the car;
the net force required to produce this acceleration.

Sagot :

boffeemadrid

Answer:

[tex]-2.5\ \text{m/s}^2[/tex]

[tex]-5500\ \text{N}[/tex]

Explanation:

m = Mass of car = 2200 kg

t = Time = 10 s

v = Final velocity = 0

u = Initial velocity = 25 m/s

a = Acceleration

From the kinematic equations of linear motion we have

[tex]v=u+at\\\Rightarrow a=\dfrac{v-u}{t}\\\Rightarrow a=\dfrac{0-25}{10}\\\Rightarrow a=-2.5\ \text{m/s}^2[/tex]

Acceleration of the car is [tex]-2.5\ \text{m/s}^2[/tex]

Force is given by

[tex]F=ma\\\Rightarrow F=2200\times (-2.5)\\\Rightarrow F=-5500\ \text{N}[/tex]

Net force required to produce the acceleration is [tex]-5500\ \text{N}[/tex].

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