Question
An object has a mass of 13.5 kilograms. What force is required to accelerate it to a rate of 9.5 m/s2?
Question 7 options:
A)
81.00 N
B)
128.25 N
C)
173.75 N
D)
132.30 N
Question 7 options:
A)
81.00 N
B)
128.25 N
C)
173.75 N
D)
132.30 N
Answers
GPT-4o mini
To find the force required to accelerate an object, you can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
In this case:
- \( m = 13.5 \, \text{kg} \)
- \( a = 9.5 \, \text{m/s}^2 \)
Now, substitute the values into the equation:
\[ F = 13.5 \, \text{kg} \cdot 9.5 \, \text{m/s}^2 \]
Calculating that:
\[ F = 128.25 \, \text{N} \]
So the correct answer is:
**B) 128.25 N**
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
In this case:
- \( m = 13.5 \, \text{kg} \)
- \( a = 9.5 \, \text{m/s}^2 \)
Now, substitute the values into the equation:
\[ F = 13.5 \, \text{kg} \cdot 9.5 \, \text{m/s}^2 \]
Calculating that:
\[ F = 128.25 \, \text{N} \]
So the correct answer is:
**B) 128.25 N**