Question 27

Question

If Mrs. Hankinson slides a 500 g book with 0.5 N of force, what is the acceleration of the book?

F = ma

a
500 m/s^2

b
250 m/s^2

c
1000 m/s^2

d
0.001 m/s^2
Question 28
The mass number of an element is equal to:

a
the number of protons and neutrons
b
the number of electrons
c
the number of protons and electrons
d
the number of protons
Question 29
Match the Gas Law to its relationship.

Column A
1.
Gay-Lussac's Law:
Gay-Lussac's Law
2.
Charles' Law:
Charles' Law
3.
Boyle's Law:
Boyle's Law
Column B
a.If the temperature of a gas increases, then the pressure increases.
b.If the volume of a gas increases, then the pressure of the gas decreases.
c.If the temperature of a gas increases, then the volume of the gas increases.

Question 30
given the following nuclear reaction:

224/88 Ra 4/2 He + A/Z X

Column A
1.
What is the atomic mass of the new atom?:
What is the atomic mass of the new atom?
2.
What is the atomic number of the new atom?:
What is the atomic number of the new atom?
3.
What is the symbol of the new atom?:
What is the symbol of the new atom?
4.
What type of decay is demonstrated here?:
What type of decay is demonstrated here?
Column B
Column B
a.Gamma Decay
b.224
c.Ra
d.Rn
e.220
f.88
g.Alpha Decay
h.Beta Decay
i.90
j.86
k.84
l.Th
m.228

Answer 1

Question 27

To find the acceleration of the book, we can use Newton's second law, which states that \( F = ma \), where:

• \( F \) is the force (0.5 N)
• \( m \) is the mass (500 g = 0.5 kg since 1 kg = 1000 g)
• \( a \) is the acceleration

Rearranging the formula to solve for \( a \):

\[ a = \frac{F}{m} \]

Substituting in the given values:

\[ a = \frac{0.5 , \text{N}}{0.5 , \text{kg}} = 1 , \text{m/s}^2 \]

However, the options do not include 1 m/s². This discrepancy means there might be a misunderstanding in the conversion or the context of the options provided. Since none of the answers match our calculation, we'll consider there may be a mistake in the answer options.

Question 28

The mass number of an element is equal to:

Answer: a - the number of protons and neutrons

Question 29

Match the Gas Law to its relationship:

1. Gay-Lussac's Law:
   a. If the temperature of a gas increases, then the pressure increases.

2. Charles' Law:
   c. If the temperature of a gas increases, then the volume of the gas increases.

3. Boyle's Law:
   b. If the volume of a gas increases, then the pressure of the gas decreases.

Question 30

In the nuclear reaction given:

\[ ^{224}{88}Ra \rightarrow ^{4}{2}He + \frac{A}{Z}X \]

1. What is the atomic mass of the new atom?
   Answer: \( 220 \)
   (224 - 4 = 220)

2. What is the atomic number of the new atom?
   Answer: \( 86 \)
   (88 - 2 = 86)

3. What is the symbol of the new atom?
   Answer: \( Rn \) (Radon)

4. What type of decay is demonstrated here?
   Answer: g. Alpha Decay

Summary of Answers

• Question 27: Unable to match with given options but calculated as 1 m/s².

• Question 28: a - the number of protons and neutrons

• Question 29:

  • 1: a
  • 2: c
  • 3: b

• Question 30:

  • 1: e. 220
  • 2: j. 86
  • 3: d. Rn
  • 4: g. Alpha Decay

Answer 2

Question 31
If a radioactive isotope has a half-life of 20 hours, how many half-lives have occured after 80 hours have passed?

a
4
b
3
c
5
d
2

Question 33
Match the scenario to the Newton's Law it describes.

Column A
1.
As a man steps forward off of a boat, the boat moves backwards.:
As a man steps forward off of a boat, the boat moves backwards.
2.
A stationary book on the table must be picked up in order for it to move:
A stationary book on the table must be picked up in order for it to move
3.
A soccer ball rests on a field until it is kicked.:
A soccer ball rests on a field until it is kicked.
4.
Increasing the mass on an object experiencing the same force would decrease the acceleration:
Increasing the mass on an object experiencing the same force would decrease the acceleration
5.
A man pushes on a wall, and the wall pushes back on the man.:
A man pushes on a wall, and the wall pushes back on the man.
6.
A rocket made with lighter composite materials will accelerate faster than a heavier one:
A rocket made with lighter composite materials will accelerate faster than a heavier one
Column B
a.Newton's First Law
b.Newton's Third Law
c.Newton's Second Law

Answer 3

Question 31

To determine how many half-lives have occurred after 80 hours for a radioactive isotope with a half-life of 20 hours, we can divide the total time by the half-life:

\[ \text{Number of half-lives} = \frac{\text{Total Time}}{\text{Half-life}} = \frac{80 , \text{hours}}{20 , \text{hours}} = 4 \]

Answer: a. 4

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Question 33

Match the scenario to the Newton's Law it describes:

1. As a man steps forward off of a boat, the boat moves backwards.: Answer: b. Newton's Third Law (For every action, there is an equal and opposite reaction.)

2. A stationary book on the table must be picked up in order for it to move: Answer: a. Newton's First Law (An object at rest stays at rest unless acted upon by an external force.)

3. A soccer ball rests on a field until it is kicked.: Answer: a. Newton's First Law (Same rationale as above, object remains at rest until an external force acts on it.)

4. Increasing the mass on an object experiencing the same force would decrease the acceleration: Answer: c. Newton's Second Law (F = ma; if mass increases and force stays the same, acceleration decreases.)

5. A man pushes on a wall, and the wall pushes back on the man.: Answer: b. Newton's Third Law (As previously mentioned, action/reaction pairs.)

6. A rocket made with lighter composite materials will accelerate faster than a heavier one: Answer: c. Newton's Second Law (Lower mass leads to higher acceleration for the same applied force.)

Summary of Answers

• Question 31: a. 4
• Question 33:
  1. b
  2. a
  3. a
  4. c
  5. b
  6. c