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Four movers pick up boxes. Each box has a different mass, and each mover applies a different amount of force to lift the box. W...Asked by my
Four movers pick up boxes. Each box has a different mass, and each mover applies a different amount of force to lift the box. Which box will have the greatest acceleration?(1 point)
Responses
a 20 kg box lifted with 40 N of force
a 20 kg box lifted with 40 N of force
a 10 kg box lifted with 60 N of force
a 10 kg box lifted with 60 N of force
a 20 kg box lifted with 60 N of force
a 20 kg box lifted with 60 N of force
a 10 kg box lifted with 40 N of force
Responses
a 20 kg box lifted with 40 N of force
a 20 kg box lifted with 40 N of force
a 10 kg box lifted with 60 N of force
a 10 kg box lifted with 60 N of force
a 20 kg box lifted with 60 N of force
a 20 kg box lifted with 60 N of force
a 10 kg box lifted with 40 N of force
Answers
Answered by
my
A baseball has a mass of 145 g. A pitcher throws the baseball so that it accelerates at a rate of 80 m/s2. How much force did the pitcher apply to the baseball?(1 point)
Responses
1.8 N
1.8 N
11.6 N
11.6 N
65 N
65 N
0.6 N
Responses
1.8 N
1.8 N
11.6 N
11.6 N
65 N
65 N
0.6 N
Answered by
my
Which situation describes a negative acceleration?(1 point)
Responses
a swimmer moving at a constant velocity
a swimmer moving at a constant velocity
a runner slowing down at the end of a race
a runner slowing down at the end of a race
a diver jumping off a diving board and falling to the swimming pool below
a diver jumping off a diving board and falling to the swimming pool below
a bicycle increasing its velocity as the rider pedals harder
Responses
a swimmer moving at a constant velocity
a swimmer moving at a constant velocity
a runner slowing down at the end of a race
a runner slowing down at the end of a race
a diver jumping off a diving board and falling to the swimming pool below
a diver jumping off a diving board and falling to the swimming pool below
a bicycle increasing its velocity as the rider pedals harder
Answered by
GPT-4o mini
To determine which box will have the greatest acceleration, you can use Newton's second law of motion, which states that \( F = ma \) (force equals mass times acceleration). You can rearrange this formula to solve for acceleration:
\[
a = \frac{F}{m}
\]
where \( F \) is the net force applied to the box and \( m \) is the mass of the box.
Let's calculate the acceleration for each box:
1. **20 kg box lifted with 40 N of force**
\[
a = \frac{40 \, \text{N}}{20 \, \text{kg}} = 2 \, \text{m/s}^2
\]
2. **10 kg box lifted with 60 N of force**
\[
a = \frac{60 \, \text{N}}{10 \, \text{kg}} = 6 \, \text{m/s}^2
\]
3. **20 kg box lifted with 60 N of force**
\[
a = \frac{60 \, \text{N}}{20 \, \text{kg}} = 3 \, \text{m/s}^2
\]
4. **10 kg box lifted with 40 N of force**
\[
a = \frac{40 \, \text{N}}{10 \, \text{kg}} = 4 \, \text{m/s}^2
\]
Now, we can compare the accelerations:
- 20 kg box with 40 N: \( 2 \, \text{m/s}^2 \)
- 10 kg box with 60 N: \( 6 \, \text{m/s}^2 \)
- 20 kg box with 60 N: \( 3 \, \text{m/s}^2 \)
- 10 kg box with 40 N: \( 4 \, \text{m/s}^2 \)
The box with the greatest acceleration is the **10 kg box lifted with 60 N of force,** which has an acceleration of \( 6 \, \text{m/s}^2 \).
\[
a = \frac{F}{m}
\]
where \( F \) is the net force applied to the box and \( m \) is the mass of the box.
Let's calculate the acceleration for each box:
1. **20 kg box lifted with 40 N of force**
\[
a = \frac{40 \, \text{N}}{20 \, \text{kg}} = 2 \, \text{m/s}^2
\]
2. **10 kg box lifted with 60 N of force**
\[
a = \frac{60 \, \text{N}}{10 \, \text{kg}} = 6 \, \text{m/s}^2
\]
3. **20 kg box lifted with 60 N of force**
\[
a = \frac{60 \, \text{N}}{20 \, \text{kg}} = 3 \, \text{m/s}^2
\]
4. **10 kg box lifted with 40 N of force**
\[
a = \frac{40 \, \text{N}}{10 \, \text{kg}} = 4 \, \text{m/s}^2
\]
Now, we can compare the accelerations:
- 20 kg box with 40 N: \( 2 \, \text{m/s}^2 \)
- 10 kg box with 60 N: \( 6 \, \text{m/s}^2 \)
- 20 kg box with 60 N: \( 3 \, \text{m/s}^2 \)
- 10 kg box with 40 N: \( 4 \, \text{m/s}^2 \)
The box with the greatest acceleration is the **10 kg box lifted with 60 N of force,** which has an acceleration of \( 6 \, \text{m/s}^2 \).
Answered by
GPT-4o mini
To calculate the force applied to the baseball, you can use Newton's second law of motion, which states:
\[
F = m \cdot a
\]
where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.
First, convert the mass of the baseball from grams to kilograms, since the SI unit for mass is kilograms:
\[
145 \, \text{g} = 0.145 \, \text{kg}
\]
Now, substitute the values into the formula. Given the acceleration \( a = 80 \, \text{m/s}^2 \):
\[
F = 0.145 \, \text{kg} \cdot 80 \, \text{m/s}^2
\]
Now calculate:
\[
F = 0.145 \cdot 80 = 11.6 \, \text{N}
\]
The force that the pitcher applied to the baseball is **11.6 N**.
\[
F = m \cdot a
\]
where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.
First, convert the mass of the baseball from grams to kilograms, since the SI unit for mass is kilograms:
\[
145 \, \text{g} = 0.145 \, \text{kg}
\]
Now, substitute the values into the formula. Given the acceleration \( a = 80 \, \text{m/s}^2 \):
\[
F = 0.145 \, \text{kg} \cdot 80 \, \text{m/s}^2
\]
Now calculate:
\[
F = 0.145 \cdot 80 = 11.6 \, \text{N}
\]
The force that the pitcher applied to the baseball is **11.6 N**.
Answered by
GPT-4o mini
Negative acceleration, also known as deceleration, occurs when an object is slowing down or experiencing a reduction in its velocity over time.
Among the provided options, the situation that describes negative acceleration is:
**a runner slowing down at the end of a race.**
This is because the runner is decreasing their speed, which indicates negative acceleration. The other options describe constant velocity or increasing speed, which do not qualify as negative acceleration.
Among the provided options, the situation that describes negative acceleration is:
**a runner slowing down at the end of a race.**
This is because the runner is decreasing their speed, which indicates negative acceleration. The other options describe constant velocity or increasing speed, which do not qualify as negative acceleration.