13. an object with a mass of 2.0 kg has a force of 4.0 newtons applied to it. what is the resulting…

Explanation:

We will use Newton's second - law of motion, $F = ma$, where $F$ is force in newtons (N), $m$ is mass in kilograms (kg), and $a$ is acceleration in meters per second squared ($m/s^{2}$). We can re - arrange the formula to solve for different variables: $a=\frac{F}{m}$, $m = \frac{F}{a}$, and $F=ma$.

13.

Step1: Identify the formula

We want to find acceleration $a$, and we know $F = 4.0$ N and $m = 2.0$ kg. Using $a=\frac{F}{m}$. $a=\frac{4.0}{2.0}$

Step2: Calculate

$a = 2.0$ $m/s^{2}$

14.

Step1: Identify the formula

We want to find acceleration $a$, with $F = 20.0$ N and $m = 5.0$ kg. Using $a=\frac{F}{m}$. $a=\frac{20.0}{5.0}$

Step2: Calculate

$a = 4.0$ $m/s^{2}$

15.

Step1: Identify the formula

We want to find acceleration $a$, with $F = 5.0$ N and $m = 20.0$ kg. Using $a=\frac{F}{m}$. $a=\frac{5.0}{20.0}$

Step2: Calculate

$a = 0.25$ $m/s^{2}$

16.

Step1: Identify the formula

We want to find acceleration $a$, with $F = 9.0$ N and $m = 3.0$ kg. Using $a=\frac{F}{m}$. $a=\frac{9.0}{3.0}$

Step2: Calculate

$a = 3.0$ $m/s^{2}$

17.

Step1: Convert mass to kg

First, convert $2300$ g to kg. Since $1$ kg=$1000$ g, $m=\frac{2300}{1000}=2.3$ kg.

Step2: Identify the formula

We want to find acceleration $a$, with $F = 6.2$ N and $m = 2.3$ kg. Using $a=\frac{F}{m}$. $a=\frac{6.2}{2.3}\approx2.7$ $m/s^{2}$

18.

Step1: Identify the formula

We want to find acceleration $a$, with $F = 7.3$ N and $m = 3.2$ kg. Using $a=\frac{F}{m}$. $a=\frac{7.3}{3.2}\approx2.3$ $m/s^{2}$

19.

Step1: Identify the formula

We want to find mass $m$, with $F = 20.1$ N and $a = 8.2$ $m/s^{2}$. Using $m=\frac{F}{a}$. $m=\frac{20.1}{8.2}\approx2.45$ kg

20.

Step1: Identify the formula

We want to find acceleration $a$, with $F = 7.1$ N and $m = 6.3$ kg. Using $a=\frac{F}{m}$. $a=\frac{7.1}{6.3}\approx1.13$ $m/s^{2}$

21.

Step1: Identify the formula

We want to find force $F$, with $m = 6.5$ kg and $a = 12.3$ $m/s^{2}$. Using $F = ma$. $F=6.5\times12.3 = 79.95$ N

Answer:

13. $2.0$ $m/s^{2}$
14. $4.0$ $m/s^{2}$
15. $0.25$ $m/s^{2}$
16. $3.0$ $m/s^{2}$
17. $2.7$ $m/s^{2}$
18. $2.3$ $m/s^{2}$
19. $2.45$ kg
20. $1.13$ $m/s^{2}$
21. $79.95$ N