Question
A student sets a 0.4 kilogram (kg) soccer ball on the ground and gives it a hard kick. The ball traveled a distance of 37 meters (m). The acceleration of the ball was 2,550 meters per second squared (m/s2).
Based on the data, how much force in newtons (N) did the student apply to the ball?
A
14.8 N
B
68.9 N
C
1,020.0 N
D
6,375.0 N
Based on the data, how much force in newtons (N) did the student apply to the ball?
A
14.8 N
B
68.9 N
C
1,020.0 N
D
6,375.0 N
Answers
GPT-4o mini
To find the force applied to the soccer ball, we can use Newton's second law of motion, which states that \( F = m \cdot a \), where \( F \) is the force in newtons (N), \( m \) is the mass in kilograms (kg), and \( a \) is the acceleration in meters per second squared (m/s²).
Given:
- Mass \( m = 0.4 \) kg
- Acceleration \( a = 2,550 \) m/s²
Now we can substitute the values into the equation:
\[
F = 0.4 \, \text{kg} \cdot 2,550 \, \text{m/s}²
\]
Calculating this gives:
\[
F = 1,020 \, \text{N}
\]
Thus, the force applied to the ball was **1,020.0 N**.
The correct answer is **C**.
Given:
- Mass \( m = 0.4 \) kg
- Acceleration \( a = 2,550 \) m/s²
Now we can substitute the values into the equation:
\[
F = 0.4 \, \text{kg} \cdot 2,550 \, \text{m/s}²
\]
Calculating this gives:
\[
F = 1,020 \, \text{N}
\]
Thus, the force applied to the ball was **1,020.0 N**.
The correct answer is **C**.