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Newton's Second Law of Motion is expressed as F = ma. A lawn mower is pushed over a length of grass. If the pushing force suddenly doubles what will happen to the lawn mower's rate of acceleration? The mass of the lawn mower is constant. A.The acceleration will double. B.The acceleration will decrease by half. C.The acceleration will remain constant. D.The acceleration will triple.

Respuesta :

metchelle
From the given equation F = ma, which is Newton's Second Law of Motion (Law of Acceleration), it shows that force F is directly proportional to acceleration a. If it said that the pushing force F suddenly doubles, and the mass of the mower stays the same, then the only variable in the equation is the acceleration. Since they are directly proportional, we can conclude that the acceleration has also doubled. Among the choices, the correct answer is A.
abidemiokin

Answer:

A) The acceleration will double

Explanation:

Given the expression according to Newton's second law F = ma where;

F is the force

m is the mass of the object

a is the acceleration

Let the initial force be F1 and acceleration be a1

F1 = ma1...(1)

If the pushing force suddenly doubles if the lawn mover is pushed over a length of grass, the new force F2 = 2F1 and acceleration of force F2 will be a2, since the mass doesn't change;

F2 = ma2

2F1 = ma2...(2)

Dividing equation 2 by 1, we will have;

2F1/F1 = ma2/ma1

2 = a2/a1

a2 = 2a1

This shows that the acceleration doubles if the pushing force doubles since force is directly proportional to the acceleration. Increase in the applied force will lead to equal increase in the acceleration and vice versa

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