A certain force gives an object of mass m1 an acceleration of 13.0 m/s2 and an object of mass m2 an acceleration of 2.10 m/s2. What acceleration would the force give to an object of mass (b)m2 + m1?
is b) equal to 2.1?
To determine the acceleration that the force would give to an object of mass (m2 + m1), we need to apply 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 that the force gives an object of mass m1 an acceleration of 13.0 m/s^2 and an object of mass m2 an acceleration of 2.10 m/s^2, we can set up the following equations:
F = m1 * a1 (Equation 1)
and
F = m2 * a2 (Equation 2)
Now, we want to find the acceleration (a) that the force would give to an object of mass (m2 + m1).
First, let's solve Equation 1 for the force (F):
F = m1 * a1
Next, substitute this expression for F in Equation 2:
m1 * a1 = m2 * a2
Now, let's solve this equation for the acceleration (a2):
a2 = (m1 * a1) / m2
Since we want to find the acceleration for an object of mass (m2 + m1), we need to substitute (m2 + m1) for m2 in the equation:
a2 = (m1 * a1) / (m2 + m1)
Now, let's substitute the given values into the equation:
m1 = mass of object m1
a1 = acceleration given to object m1 (13.0 m/s^2)
m2 = mass of object m2
So, b) is not equal to 2.1. The acceleration for an object of mass (m2 + m1) would be calculated using the equation a2 = (m1 * a1) / (m2 + m1).