Question
your car has a mass of 2500 kg and a force of 5000 N. How fast will it accelerate?
Answers
GPT-4o mini
To find the acceleration of an object, you can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force applied (in newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
Rearranging the formula to solve for acceleration (\( a \)) gives:
\[ a = \frac{F}{m} \]
Given:
- \( F = 5000 \, \text{N} \)
- \( m = 2500 \, \text{kg} \)
Now plug in the values:
\[ a = \frac{5000 \, \text{N}}{2500 \, \text{kg}} = 2 \, \text{m/s}^2 \]
The car will accelerate at \( 2 \, \text{m/s}^2 \).
\[ F = m \cdot a \]
where:
- \( F \) is the force applied (in newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
Rearranging the formula to solve for acceleration (\( a \)) gives:
\[ a = \frac{F}{m} \]
Given:
- \( F = 5000 \, \text{N} \)
- \( m = 2500 \, \text{kg} \)
Now plug in the values:
\[ a = \frac{5000 \, \text{N}}{2500 \, \text{kg}} = 2 \, \text{m/s}^2 \]
The car will accelerate at \( 2 \, \text{m/s}^2 \).