A soccer player applies a force of 51.5 N to a soccer ball while kicking it. If the ball has a mass of 0.46 kg, what is the acceleration of the soccer ball?
a=F/m = 51.5/0.46 =112 m/s^2
To find the acceleration of the soccer ball, we can use Newton's second law of motion, which states that the force applied to an object is equal to its mass multiplied by its acceleration.
Given:
Force (F) = 51.5 N
Mass (m) = 0.46 kg
Using Newton's second law:
F = m * a
Substituting the given values:
51.5 N = 0.46 kg * a
Solving for acceleration (a):
a = F / m
Plugging in the values:
a = 51.5 N / 0.46 kg
Calculating the result:
a ≈ 112.0 m/s²
Therefore, the acceleration of the soccer ball is approximately 112.0 m/s².
To find the acceleration of the soccer ball, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. Mathematically, it can be represented as:
Force = Mass × Acceleration
In this case, the force applied by the soccer player is 51.5 N, and the mass of the soccer ball is 0.46 kg. We need to rearrange the equation to solve for acceleration:
Acceleration = Force / Mass
Substituting the given values:
Acceleration = 51.5 N / 0.46 kg ≈ 112.32 m/s²
Therefore, the acceleration of the soccer ball is approximately 112.32 m/s².