A batter hits a baseball with a mass of 145 g.
After impact, the ball experiences a net force of
180N [S]. What is the acceleration of the ball?
To find the acceleration of the ball, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. Mathematically, it can be written as:
F = m * a
where F is the net force, m is the mass, and a is the acceleration.
Rearranging the formula, we can solve for acceleration:
a = F / m
Given that the mass of the ball is 145 g (or 0.145 kg) and the net force acting on it is 180 N [S], we can substitute these values into the equation:
a = 180 N / 0.145 kg
a ≈ 1241.38 m/s^2
Therefore, the acceleration of the ball is approximately 1241.38 m/s^2.
To determine the acceleration of the ball, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
The formula for calculating acceleration is:
acceleration = net force / mass
Given:
Net force (F) = 180 N [S]
Mass (m) = 145 g = 0.145 kg
Substituting these values into the formula, we get:
acceleration = 180 N / 0.145 kg
Calculating the acceleration, we have:
acceleration = 1241.38 m/s²
Therefore, the acceleration of the ball is 1241.38 m/s².
To determine the acceleration of the ball, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
The mass of the ball is given as 145 g. However, it is preferable to use the SI unit of mass, which is kilograms (kg). To convert grams to kilograms, we divide the mass by 1000:
145 g ÷ 1000 = 0.145 kg
Now, we can substitute the mass and the force values into the formula:
F = m * a
Rearranging the formula to solve for acceleration:
a = F / m
Substituting the given values:
a = 180 N / 0.145 kg
Calculating the result:
a ≈ 1241.38 m/s²
Therefore, the acceleration of the ball is approximately 1241.38 m/s² in the south direction (since the force is directed south).