bob and sue are initially standing still on frictionless ice. bob weighs 500n . they push against each other and sue acquires an acceleration of 5m/s while bob acquires acceleration of 3m/s. what is sue mass
To find Sue's mass, 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.
Let's call Sue's mass "m" and her acceleration "a." According to the problem, Sue acquires an acceleration of 5 m/s, so we have:
Force on Sue = m * a
Since Sue is being pushed by Bob, the force on Sue is equal to the force imposed by Bob, which is 500 N (since Bob weighs 500 N). Therefore:
500 N = m * 5 m/s
To isolate "m" (Sue's mass), divide both sides of the equation by 5:
m = 500 N / 5 m/s = 100 kg
So, Sue's mass is 100 kg.