A net force of 265 N accelerates a bike and rider at . 2.3m/s2 what is the mass of the rider and the bike together?.
To find the mass of the bike and rider together, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
Net force (F) = 265 N
Acceleration (a) = 2.3 m/s^2
We can rearrange the formula to solve for mass (m):
F = m * a
Substituting the given values:
265 N = m * 2.3 m/s^2
To isolate the mass (m), we divide both sides of the equation by 2.3 m/s^2:
m = 265 N / 2.3 m/s^2
Simplifying the equation:
m ≈ 115.22 kg
Therefore, the mass of the bike and rider together is approximately 115.22 kg.
To find the mass of the rider and the bike together, we can use Newton's second law of motion.
Newton's second law states that the net force acting on an object is equal to the product of its mass and acceleration. Mathematically, it can be expressed as:
F = m * a
Where:
F is the net force,
m is the mass of the object, and
a is the acceleration.
We are given:
Net force (F) = 265 N
Acceleration (a) = 2.3 m/s^2
Substituting the given values into the equation, we have:
265 N = m * 2.3 m/s^2
To solve for the mass (m), we divide both sides of the equation by 2.3 m/s^2:
m = 265 N / 2.3 m/s^2
m ≈ 115.22 kg
Therefore, the mass of the rider and the bike together is approximately 115.22 kg.