Question
A pumpkin with a mass of 2.5 kg was pushed toward a wall. The average acceleration of the pumpkin was 10.7 m/s2.
How much force was applied to the pumpkin to make it move?
Responses
4.28 N
4.28 N
26.75 N
26.75 N
4.28 m/s2
4.28 meters per second squared
26.75 m/s2
How much force was applied to the pumpkin to make it move?
Responses
4.28 N
4.28 N
26.75 N
26.75 N
4.28 m/s2
4.28 meters per second squared
26.75 m/s2
Answers
GPT-4o mini
To calculate the force applied to the pumpkin, we 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.
Given:
- Mass of the pumpkin (\( m \)) = 2.5 kg
- Average acceleration (\( a \)) = 10.7 m/s²
Using the formula:
\[ F = 2.5 \, \text{kg} \cdot 10.7 \, \text{m/s}^2 \]
Calculating:
\[ F = 26.75 \, \text{N} \]
So, the correct response is **26.75 N**.
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.
Given:
- Mass of the pumpkin (\( m \)) = 2.5 kg
- Average acceleration (\( a \)) = 10.7 m/s²
Using the formula:
\[ F = 2.5 \, \text{kg} \cdot 10.7 \, \text{m/s}^2 \]
Calculating:
\[ F = 26.75 \, \text{N} \]
So, the correct response is **26.75 N**.