A certain force gives mass m1 an acceleration of 10.0 m/s2 and mass m2 an acceleration of 4.0 m/s2. What acceleration would the force give to an object with a mass of (m2-m1)?
To find the acceleration of an object with a mass of (m2 - m1), we need to first determine the net force acting on the object.
The net force can be calculated using Newton's second law of motion, which states that the net force (F_net) acting on an object is equal to the mass of the object (m) multiplied by the acceleration of the object (a):
F_net = m * a
Since we want to determine the acceleration, we can rearrange the equation to solve for "a":
a = F_net / m
Given that the force gives mass m1 an acceleration of 10.0 m/s^2 and mass m2 an acceleration of 4.0 m/s^2, we can substitute these values into the equation:
a1 = 10.0 m/s^2 (acceleration for mass m1)
a2 = 4.0 m/s^2 (acceleration for mass m2)
F_net1 = m1 * a1
F_net2 = m2 * a2
Since the net force acting on the object is the same, we can equate the two equations:
F_net1 = F_net2
m1 * a1 = m2 * a2
We can solve this equation to find the value of m2 - m1:
m2 - m1 = (m1 * a1) / a2
Once we know the value of m2 - m1, we can substitute it back into the equation a = F_net / m to find the acceleration of the object.