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Question: The engine of a car produces acceleration 4m/sec<sup>2</sup> in the car, if this car pulls another c...

The engine of a car produces acceleration 4m/sec2 in the car, if this car pulls another car of same mass, what will be the acceleration produced

A

8 m/s2

B

2 m/s2

C

4 m/s2

D

12m/s2\frac{1}{2}m/s^{2}

Answer

2 m/s2

Explanation

Solution

F = ma a∝1ma \propto \frac{1}{m} if F = constant. Since the force is same and the effective mass of system becomes double

a2a1=m1m2=m2m\frac{a_{2}}{a_{1}} = \frac{m_{1}}{m_{2}} = \frac{m}{2m} , a2=a12=2m/s2a_{2} = \frac{a_{1}}{2} = 2\text{m/}\text{s}^{2}