Question

practice exercises
exercise 1: what is the acceleration of a 1,500 - kilogram truck with a net force of 1,500 newtons?

exercise 2: a runner with a mass of 60 kilograms accelerates at 2.2 m/s². what is the runner’s net force?

exercise 3: find the mass of a flying discus that has a net force of 1.05 newtons and accelerates at 3.5 m/s².

exercise 4: ian has a mass of 58.0 kilograms. what is his weight?

exercise 5: find the mass of a book that has a weight of 14.7 newtons.

Explanation:

Exercise 1

Step1: Recall Newton's second law

Newton's second law is $F = ma$, rearranged for acceleration: $a = \frac{F}{m}$

Step2: Substitute given values

Given $F=1500\ \text{N}$, $m=1500\ \text{kg}$:
$a = \frac{1500}{1500}$

Step3: Calculate acceleration

$a = 1\ \text{m/s}^2$

Exercise 2

Step1: Recall Newton's second law

Use $F = ma$

Step2: Substitute given values

Given $m=60\ \text{kg}$, $a=2.2\ \text{m/s}^2$:
$F = 60 \times 2.2$

Step3: Calculate net force

$F = 132\ \text{N}$

Exercise 3

Step1: Rearrange Newton's second law

Solve for mass: $m = \frac{F}{a}$

Step2: Substitute given values

Given $F=1.05\ \text{N}$, $a=3.5\ \text{m/s}^2$:
$m = \frac{1.05}{3.5}$

Step3: Calculate mass

$m = 0.3\ \text{kg}$

Exercise 4

Step1: Recall weight formula

Weight $W = mg$, use $g=9.8\ \text{m/s}^2$

Step2: Substitute given values

Given $m=58.0\ \text{kg}$:
$W = 58.0 \times 9.8$

Step3: Calculate weight

$W = 568.4\ \text{N}$

Exercise 5

Step1: Rearrange weight formula

Solve for mass: $m = \frac{W}{g}$, use $g=9.8\ \text{m/s}^2$

Step2: Substitute given values

Given $W=14.7\ \text{N}$:
$m = \frac{14.7}{9.8}$

Step3: Calculate mass

$m = 1.5\ \text{kg}$

Answer:

1. $1\ \text{m/s}^2$
2. $132\ \text{N}$
3. $0.3\ \text{kg}$
4. $568.4\ \text{N}$
5. $1.5\ \text{kg}$