Question

Q.21. An automobile vehicle has a mass of 1500Kg. What must be the force between the vehicle

and road if the vehicle is to be stopped with a negative acceleration of 1.7 m/s2

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Answer 1

Answer:

2550 N in a direction opposite to that of the vehicle

Answer 2

➨The force applied by the vehicle = 2550 N.

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Explanation :⠀

➥It is given that, the mass of a vehicle and the acceleration produced by the vehicle, that is,

➥Mass of vehicle, m = 1500 kg.

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➥Acceleration produced by vehicle, a = -1.7 m/s².

➥We are supposed to find the force applied bt the vehicle.

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➥We will find the force applied by the vehicle by 2nd law of Newton.

➥By using the second law of Newton :

$\bf{\dag}\boxed{\bf{F = ma}}†$

➨Where we have the values as :

• F = unknown.
• m = 1500 kg.
• a = -1.7 m/s².

⠀

➨Substituting all the given values :

⠀

$\begin{gathered}\sf{:\implies F = 1500 \times (-1.7)} \\ \\ \\ \sf{:\implies \boxed{\frak{ \pink{{F = - 2550}}}}} \\ \\ \end{gathered}$

➥The negative sign indicate that the direction of vehicle is opposite.

⠀

$\sf{\therefore \underline{The \: force \: applied \: by \: the \: vehicle \: is \: \textsf{\textbf{2550 N.}}}}$