Question

color by number
force mass acceleration
name: aisha jahan
date: 10 - 17 - 25 per: 8c
directions: read each question and circle the correct answer. after answering all questions, color the
picture using the colors that correspond to each correct answer. you may color unnumbered sections
of the picture any color you like.

1. what is the formula for calculating

force?
force / acceleration
light blue
force / mass
yellow
mass × acceleration
white

1. what is the formula for calculating

acceleration?
force / acceleration
yellow
force / mass
orange
mass × acceleration
red

1. what is the formula for calculating

mass?
force / acceleration
green
force / mass
red
mass × acceleration
light blue

1. a change in velocity is known as

________.
speed
yellow
acceleration
purple
force
orange

1. when does an object accelerate?

when it speeds up
or slows down
light purple
when it changes
direction
green
both a & b
blue

1. the acceleration of an object is due to

the net force on the object and the
objects ________.
speed
purple
mass
red
position
yellow

1. as the force increases, the

acceleration ________.
increases
blue
decreases
red
stays the same
green

1. as the mass increases, the

acceleration ________.
increases
yellow
decreases
light blue
stays the same
black

1. how much force is needed to push a

54 kg sled that is accelerating 5 m/s²?
93 n
light green
11 n
purple
270 n
blue

1. a man pulls a refrigerator using 48 n

of force. the refrigerator accelerates 0.35
m/s². what is the mass of the refrigerator?
73 kg
light blue
137 kg
light purple
168 kg
yellow

1. a boy kicks a 0.445 kg soccer ball with

a force of 75 newtons. what is the
acceleration of the soccer ball?
33 m/s²
light green
168.5 m/s²
red
270 m/s²
light orange

1. it takes 5100 n of force to accelerate a

ford mustang 3 m/s². what is the mass of
the car?
1700 kg
orange
5882 kg
yellow
1530 kg
purple

1. a girl pushes an 18.15 kg wagon with

a force of 3.63 n. what is the acceleration?
0.06 m/s²
white
5 m/s²
red
0.2 m/s²
yellow

1. how much force is needed to

accelerate a space shuttle 15 m/s² with a
mass of 2,030,000 kg?
739,000,000 n
red
30,450,000 n
orange
135,333 n
light blue

1. which statement is false?

doubling the mass
halves the
acceleration.
dark purple
doubling the force
doubles the
acceleration.
dark blue
doubling the mass
doubles the
acceleration.
black

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration).

Step2: Solve for force

For question 9: Given \(m = 54\space kg\) and \(a=5\space m/s^{2}\). Using \(F = ma\), we substitute the values: \(F=(54)(5)\).

$$F = 270\space N$$

Step3: Solve for mass

For question 10: Given \(F = 48\space N\) and \(a = 0.35\space m/s^{2}\). From \(F=ma\), we can solve for \(m\) as \(m=\frac{F}{a}\). Substituting the values: \(m=\frac{48}{0.35}\approx137\space kg\)

Step4: Solve for acceleration

For question 11: Given \(F = 75\space N\) and \(m = 0.445\space kg\). From \(F = ma\), we solve for \(a\) as \(a=\frac{F}{m}\). Substituting the values: \(a=\frac{75}{0.445}\approx168.5\space m/s^{2}\)

Step5: Solve for mass

For question 12: Given \(F = 5100\space N\) and \(a = 3\space m/s^{2}\). Using \(m=\frac{F}{a}\), substituting the values: \(m=\frac{5100}{3}=1700\space kg\)

Step6: Solve for acceleration

For question 13: Given \(F = 3.63\space N\) and \(m = 18.15\space kg\). Using \(a=\frac{F}{m}\), substituting the values: \(a=\frac{3.63}{18.15}=0.2\space m/s^{2}\)

Step7: Solve for force

For question 14: Given \(m = 2030000\space kg\) and \(a = 15\space m/s^{2}\). Using \(F=ma\), substituting the values: \(F=(2030000)(15)=30450000\space N\)

Step8: Analyze the false statement

For question 15: From \(F = ma\) or \(a=\frac{F}{m}\). If \(m\) is doubled (\(m_{new}=2m\)), then \(a_{new}=\frac{F}{2m}=\frac{1}{2}a\) (doubling mass halves acceleration). If \(F\) is doubled (\(F_{new} = 2F\)), then \(a_{new}=\frac{2F}{m}=2a\) (doubling force doubles acceleration). The statement “Doubling the mass doubles the acceleration” is false.

Answer:

1. C. Mass x Acceleration
2. B. Force / Mass
3. A. Force / Acceleration
4. B. acceleration
5. C. both A & B
6. B. mass
7. A. increases
8. B. decreases
9. C. 270 N
10. B. 137 kg
11. B. 168.5 m/s²
12. A. 1700 kg
13. C. 0.2 m/s²
14. B. 30,450,000 N
15. C. Doubling the mass doubles the acceleration.