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If a car can accelerate at 4 m/^2, what will be it new acceleration if it i towing another car of equal ma?

Sagot :

The new acceleration of the car with acceleration of  [tex]4m/s^{2}[/tex] if it is towing another car of equal mass is double the acceleration of the first car, i.e., [tex]8m/s^{2}[/tex].

It is given to us that -

A car can accelerate at [tex]4m/s^{2}[/tex]

This car is towing another car of equal mass

We have to find out the new acceleration.

Let us assume that the mass of the car is given as m.

We know that force is given by the formula -

F = ma ---- (1)

where,

m = mass of the body

a = acceleration of the body

So, the force of the car with acceleration of  [tex]4m/s^{2}[/tex] is given as -

[tex]F_{1} = 4m[/tex]    [From equation (1)]

Since the car is towing another car of equal mass,

Total mass = 2m

So, from equation (1), we can find out the new acceleration as -

[tex]a = \frac{F}{m}\\= > a = \frac{2m*4}{m} \\= > a = 8 m/s^{2}[/tex]

Thus, the new acceleration of the car with acceleration of  [tex]4m/s^{2}[/tex] if it is towing another car of equal mass is double the acceleration of the first car, i.e., [tex]8m/s^{2}[/tex].

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