Answer :
The force needed to give a 0.25-kilograms arrow an acceleration of 196 meters / second² would be 49 Newtons.
What is Newton's second law?
Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
As given in the problem we have to find out the force needed to give a 0.25-kilograms arrow an acceleration of 196 meter / second²,
The required force = mass of the arrow × acceleration of the arrow
= 0.25-kilograms × 196 meter / second²
=49 Newtons
Thus, a 0.25-kilogram arrow would require 49 Newtons of force to accelerate at 196 meters per second2.
To learn more about Newton's second law, refer to the link given below;
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Answer:
The force needed is 49 newtons.
Explanation:
Newton's second law can be used to determine the force of the arrow:
[tex]F = ma[/tex] (1)
Where m is the mass of the arrow and a is its acceleration
So the values given can be replaced in equation 1.
[tex]F = (0.25KG)(196m/s^{2})[/tex]
[tex]F = 49Kg.m/s^{2}[/tex]
But [tex]1 N = Kg.m/s^{2}[/tex]
[tex]F = 49N[/tex]
Therefore, the force needed is 49 newtons.