Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

an object accelerates 8.2 m/s² when a force of 20.1 newtons is applied …

Question

an object accelerates 8.2 m/s² when a force of 20.1 newtons is applied to it. what is the mass of the object? (round to 2 decimal places)

Explanation:

Step1: Recall Newton's second law

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration. We need to solve for $m$, so $m=\frac{F}{a}$.

Step2: Substitute given values

Given $F = 20.1$ N and $a=8.2$ m/s². Then $m=\frac{20.1}{8.2}$.

Step3: Calculate the mass

$m=\frac{20.1}{8.2}\approx2.45$ kg.

Answer:

$2.45$ kg