Question
16. If Tom kicks a 0.350 kg soccer ball with 0.90 N of force, what is the acceleration of the ball?
F= ma
a
388.9 m/s2
b
0.003 m/s2
c
315 m/s2
d
3.15 m/s2
e
2.6 m/s2
f
0.32 m/s2
17. If a dolphin swims at 1.85 m/s, how far will the dolphin have traveled after 6.0 s?
a
11 m
b
9.0 m
c
31 m
d
3.2 m
18. What is the gravitational force of attraction between a planet and a 17-kilogram mass that is freely falling toward the surface of the planet at 8.8 m/s2?
a
8.8 N
b
1.9 N
c
150 N
d
0.52 N
19. What type of nuclear radiation is given off in the nuclear reaction below?
35/16 S - ____ +35/17 CI
a
Alpha radiation
b
Gamma radiation
c
Beta radiation
20. A radioisotope has a half-life of 7.5 hours. How many half lives have occured after 67.5 hours?
a
7 half-lives
b
8 half-lives
c
9 half-lives
d
10 half-lives
F= ma
a
388.9 m/s2
b
0.003 m/s2
c
315 m/s2
d
3.15 m/s2
e
2.6 m/s2
f
0.32 m/s2
17. If a dolphin swims at 1.85 m/s, how far will the dolphin have traveled after 6.0 s?
a
11 m
b
9.0 m
c
31 m
d
3.2 m
18. What is the gravitational force of attraction between a planet and a 17-kilogram mass that is freely falling toward the surface of the planet at 8.8 m/s2?
a
8.8 N
b
1.9 N
c
150 N
d
0.52 N
19. What type of nuclear radiation is given off in the nuclear reaction below?
35/16 S - ____ +35/17 CI
a
Alpha radiation
b
Gamma radiation
c
Beta radiation
20. A radioisotope has a half-life of 7.5 hours. How many half lives have occured after 67.5 hours?
a
7 half-lives
b
8 half-lives
c
9 half-lives
d
10 half-lives
Answers
GPT-4o mini
Let's go through your questions one by one:
**Question 16: Acceleration of the soccer ball**
To find the acceleration \( a \), we can use Newton's second law:
\[ F = m \cdot a \]
Where:
- \( F = 0.90 \, \text{N} \) (force)
- \( m = 0.350 \, \text{kg} \) (mass)
Rearranging the formula to find acceleration:
\[ a = \frac{F}{m} = \frac{0.90 \, \text{N}}{0.350 \, \text{kg}} \approx 2.57 \, \text{m/s}^2 \]
Thus, the correct answer is:
**e. 2.6 m/s²** (rounded).
---
**Question 17: Distance traveled by the dolphin**
To calculate the distance traveled, we can use the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Where:
- Speed = \( 1.85 \, \text{m/s} \)
- Time = \( 6.0 \, \text{s} \)
Calculating:
\[ \text{Distance} = 1.85 \, \text{m/s} \times 6.0 \, \text{s} = 11.1 \, \text{m} \]
The closest answer is:
**a. 11 m**.
---
**Question 18: Gravitational force of attraction**
To find the gravitational force, we can use:
\[ F = m \cdot g \]
Where:
- \( m = 17 \, \text{kg} \) (mass)
- \( g = 8.8 \, \text{m/s}^2 \) (acceleration due to gravity)
Calculating:
\[ F = 17 \, \text{kg} \times 8.8 \, \text{m/s}^2 = 149.6 \, \text{N} \]
Rounding gives approximately:
**c. 150 N**.
---
**Question 19: Type of nuclear radiation**
Given the reaction:
\[ \frac{35}{16} \text{S} \rightarrow \text{?} + \frac{35}{17} \text{Cl} \]
This indicates that a beta particle (an electron) is emitted, which increases the atomic number by 1 while keeping the mass number the same.
So, the type of radiation is:
**c. Beta radiation**.
---
**Question 20: Number of half-lives**
To calculate how many half-lives have occurred in 67.5 hours with a half-life of 7.5 hours:
\[ \text{Number of half-lives} = \frac{\text{Total time}}{\text{Half-life}} = \frac{67.5 \, \text{hours}}{7.5 \, \text{hours}} = 9 \]
Thus, the correct answer is:
**c. 9 half-lives**.
---
In summary, the answers are:
16. e. 2.6 m/s²
17. a. 11 m
18. c. 150 N
19. c. Beta radiation
20. c. 9 half-lives
**Question 16: Acceleration of the soccer ball**
To find the acceleration \( a \), we can use Newton's second law:
\[ F = m \cdot a \]
Where:
- \( F = 0.90 \, \text{N} \) (force)
- \( m = 0.350 \, \text{kg} \) (mass)
Rearranging the formula to find acceleration:
\[ a = \frac{F}{m} = \frac{0.90 \, \text{N}}{0.350 \, \text{kg}} \approx 2.57 \, \text{m/s}^2 \]
Thus, the correct answer is:
**e. 2.6 m/s²** (rounded).
---
**Question 17: Distance traveled by the dolphin**
To calculate the distance traveled, we can use the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Where:
- Speed = \( 1.85 \, \text{m/s} \)
- Time = \( 6.0 \, \text{s} \)
Calculating:
\[ \text{Distance} = 1.85 \, \text{m/s} \times 6.0 \, \text{s} = 11.1 \, \text{m} \]
The closest answer is:
**a. 11 m**.
---
**Question 18: Gravitational force of attraction**
To find the gravitational force, we can use:
\[ F = m \cdot g \]
Where:
- \( m = 17 \, \text{kg} \) (mass)
- \( g = 8.8 \, \text{m/s}^2 \) (acceleration due to gravity)
Calculating:
\[ F = 17 \, \text{kg} \times 8.8 \, \text{m/s}^2 = 149.6 \, \text{N} \]
Rounding gives approximately:
**c. 150 N**.
---
**Question 19: Type of nuclear radiation**
Given the reaction:
\[ \frac{35}{16} \text{S} \rightarrow \text{?} + \frac{35}{17} \text{Cl} \]
This indicates that a beta particle (an electron) is emitted, which increases the atomic number by 1 while keeping the mass number the same.
So, the type of radiation is:
**c. Beta radiation**.
---
**Question 20: Number of half-lives**
To calculate how many half-lives have occurred in 67.5 hours with a half-life of 7.5 hours:
\[ \text{Number of half-lives} = \frac{\text{Total time}}{\text{Half-life}} = \frac{67.5 \, \text{hours}}{7.5 \, \text{hours}} = 9 \]
Thus, the correct answer is:
**c. 9 half-lives**.
---
In summary, the answers are:
16. e. 2.6 m/s²
17. a. 11 m
18. c. 150 N
19. c. Beta radiation
20. c. 9 half-lives