Question

What will happen to the acceleration of the car in figure 6 if its mass will be doubled and the applied force will be kept constant?​

Answer 1

Answer:

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Explanation:

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Answer 2

The acceleration of the car will decrease to half its initial value if its mass is doubled and the force is kept constant.

Newton's First Law of Motion

• According to Newton's First Law of Motion,

"The rate of change of momentum of a body is equal to the external force applied on it."

• Mathematically, it is expressed as:

                                   F = ma

where F is the external force applied

           m is the mass of the object

    and a is the acceleration of the object.

• If we analyze the given situation, let us assume initially a force 'F' N was applied on the car of mass 'm' kg and it produced an acceleration of 'a' m/s².

                                            ⇒ F =ma                              (1)

• Now, the mass of the car is doubled but the force is kept constant. Let the new acceleration be a' m/s².

                                             ⇒F = 2ma'                          (2)

Substituting the value of F from (1) in (2),

                                             ⇒ 2ma' = ma

                                             ⇒ a' = $\frac{a}{2}$

Thus, the acceleration reduces to half its initial value.