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14. A force of 350 N causes a body to move with an acceleration of [tex]$10 m / s ^2$[/tex]. What's the mass of the body?
A. [tex]$3,500 kg$[/tex]
B. 35 kg
C. 98 kg
D. [tex]$3,430 kg$[/tex]

Apply Newton's second law of motion: F = ma .
Rearrange the formula to solve for mass: m = a F ​ .
Substitute the given values of force and acceleration into the formula: m = 10 m / s 2 350 N ​ .
Calculate the mass: m = 35 k g ​ .

Explanation

Problem Analysis We are given a force F = 350 N and an acceleration a = 10 m / s 2 . We need to find the mass m of the body. We can use Newton's second law of motion, which states that F = ma .

Finding the Mass Formula To find the mass, we can rearrange the formula to solve for m : m = a F ​

Substituting the Values Now, we substitute the given values into the formula: m = 10 m / s 2 350 N ​

Calculating the Mass Calculating the mass, we get: m = 35 k g


Examples
Newton's second law is fundamental in physics and engineering. For example, when designing a car, engineers use this law to calculate the force needed to achieve a certain acceleration, ensuring the engine is powerful enough. Similarly, in sports, understanding the relationship between force, mass, and acceleration helps athletes optimize their performance, such as calculating the force needed to throw a ball at a certain speed.

Answered by GinnyAnswer | 2025-07-08