Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

using the formula ( f = ma ), what acceleration results from exerting a…

Question

using the formula ( f = ma ), what acceleration results from exerting a 25 n horizontal force on a 0.5 kg ball at rest?
a ( 25m/s^{2} )
b ( 0.5m/s^{2} )
c ( 62.5m/s^{2} )
d ( 50m/s^{2} )

Explanation:

Step1: Rearrange the formula for acceleration

Given \(F = ma\), we can solve for \(a\) by dividing both sides of the equation by \(m\). So, \(a=\frac{F}{m}\).

Step2: Substitute the given values

We are given \(F = 25\space N\) and \(m=0.5\space kg\). Substituting these values into the formula \(a=\frac{F}{m}\), we get \(a=\frac{25}{0.5}\).

Step3: Calculate the value of \(a\)

\(\frac{25}{0.5}=25\div0.5 = 50\space m/s^{2}\)

Answer:

d. \(50m/s^{2}\)