Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the equation for determining force given the mass and accelerat…

Question

what is the equation for determining force given the mass and acceleration of an object, newtons 2nd law?

$f = v/t$

$f = ma$

$f = d/t$

$f = va$

Explanation:

Step1: Analyze each option

  • \( F = v/t \): This is the formula for acceleration (\( a=\frac{v}{t} \), where \( v \) is velocity change and \( t \) is time), not force.
  • \( F = ma \): Newton's second law states that force (\( F \)) is equal to mass (\( m \)) times acceleration (\( a \)).
  • \( F = d/t \): This is the formula for average speed (\( v = \frac{d}{t} \), where \( d \) is distance and \( t \) is time), not force.
  • \( F = va \): There is no physical meaning for this combination in the context of force - mass - acceleration relations.

Answer:

B. \( F = ma \)