What is the mass of a man if he accelerates at 42 m/s/s and has a mass of 112 kg?
To calculate the mass of a man in this scenario, we need to 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:
Force = Mass × Acceleration
In this case, we are given the acceleration of the man as 42 m/s/s and his mass as 112 kg. Rearranging the equation, we can solve for the mass:
Mass = Force / Acceleration
Since force is not given, we can substitute it with the formula:
Force = Mass × Acceleration
Simplifying the equation, we have:
Mass = (Mass × Acceleration) / Acceleration
The acceleration terms will cancel out, leaving us with:
Mass = Mass
This equation tells us that the mass of the man remains the same as the mass of the man. So, the mass of the man is indeed 112 kg.
To find the mass of a man given that he accelerates at 42 m/s^2 and has a mass of 112 kg, we can use Newton's second law of motion, which states that force (F) equals mass (m) multiplied by acceleration (a): F = m * a.
Rearranging the formula, we can solve for mass (m):
m = F / a
Given that the acceleration (a) is 42 m/s^2 and the mass (m) is 112 kg, we can substitute these values into the equation:
m = 112 kg / 42 m/s^2
Simplifying the equation, we get:
m = 2.667 kg
Therefore, the mass of the man is approximately 2.667 kg.