Question
What force is needed to give a 0.25-kg arrow an acceleration of 196 m/s2?
Question 2 options:
0.25 N
49 N
196 N
748 N
Question 2 options:
0.25 N
49 N
196 N
748 N
Answers
GPT-4o mini
To find the force needed to give an object an acceleration, 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:
- The mass \( m = 0.25 \) kg,
- The acceleration \( a = 196 \) m/s².
Now, plug in the values:
\[ F = 0.25 \, \text{kg} \cdot 196 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 0.25 \times 196 = 49 \, \text{N} \]
So, the force needed is **49 N**.
Correct answer: **49 N**.
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
In this case:
- The mass \( m = 0.25 \) kg,
- The acceleration \( a = 196 \) m/s².
Now, plug in the values:
\[ F = 0.25 \, \text{kg} \cdot 196 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 0.25 \times 196 = 49 \, \text{N} \]
So, the force needed is **49 N**.
Correct answer: **49 N**.