Calculate at the start of a race the net force on a sprinter is 640 N. if the mass of the sprinter is 80.0 kg find the sprinter's acceleration
To find the sprinter's acceleration, we'll 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. Rearranging the equation, we get:
net force = mass * acceleration
Given:
Net force = 640 N
Mass = 80.0 kg
Let's plug in the values into the equation and solve for acceleration:
640 N = 80.0 kg * acceleration
Divide both sides of the equation by the mass (80.0 kg):
acceleration = 640 N / 80.0 kg
Simplifying the equation:
acceleration = 8.0 m/s²
Therefore, the sprinter's acceleration is 8.0 m/s².
To calculate the sprinter's acceleration, you need to 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 (F = ma).
Given:
Net force (F) = 640 N
Mass (m) = 80.0 kg
Step 1: Write down the given information:
F = 640 N
m = 80.0 kg
Step 2: Apply Newton's second law of motion (F = ma) to solve for acceleration:
a = F / m
Step 3: Substitute the values into the equation and calculate:
a = 640 N / 80.0 kg
Dividing 640 N by 80.0 kg, the sprinter's acceleration is 8.0 m/s².
So, the sprinter's acceleration at the start of the race is 8.0 m/s².