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).

Question

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

Answer 1

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.