the acceleration of an object varies directly as the force f exerted and inversely as its mass m. if the constant of variation is 1 find the acceleration in meters/second^ of a 10 kg object exerting force of 10 newtons
To find the acceleration of the object, we can use the equation:
Acceleration = k * (Force / Mass)
where k is the constant of variation.
Given that the constant of variation is 1, we can substitute this value into the equation:
Acceleration = 1 * (Force / Mass)
Now, we can substitute the values provided into the equation:
Acceleration = 1 * (10 N / 10 kg)
Simplifying, we get:
Acceleration = 1 * (1 m/s^2)
Therefore, the acceleration of the object is 1 meter/second^2.
To find the acceleration of an object given the force and mass, we need to use the formula for direct and inverse variation. In this case, we have the equation:
acceleration = k * (force / mass)
where k is the constant of variation.
Given that the constant of variation is 1, we can simplify the formula to:
acceleration = (force / mass)
Plugging in the values given:
mass = 10 kg
force = 10 N
acceleration = (10 N) / (10 kg)
acceleration = 1 m/s²
Therefore, the acceleration of the 10 kg object exerting a force of 10 newtons is 1 meter per second squared (m/s²).