Question

jerome has a tow truck, and he is in charge of moving several vehicles for the city. he wants to explain to his niece how towing vehicles relates to newtons second law. which statement should he use?
a. the greater the vehicular mass, the less force the tow truck will use.
b. the greater the vehicular mass, the more force the tow truck will use.
c. the vehicular mass has no effect on the amount of force the tow truck uses.
d. the vehicular mass pulls on the tow truck in the opposite direction.

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration).

Step2: Analyze the relationship between force and mass

Assuming the tow - truck wants to achieve a certain acceleration \(a\) (non - zero, to move the vehicle). If \(a\) is constant (for simplicity, to start moving at a certain rate), from \(F=ma\), when \(m\) (vehicular mass) increases, \(F\) (force) must increase.
So, the greater the mass of the vehicle, the more force is needed (as per \(F = ma\)), which means the tow - truck will use more force. Option B is correct.
Option A is wrong because it contradicts \(F = ma\) (more mass should lead to more force, not less). Option C is wrong as \(F = ma\) shows a direct relationship between \(m\) and \(F\). Option D is about Newton's third law (action - reaction) not Newton's second law.

Answer:

B. The greater the vehicular mass, the more force the tow truck will use.