A force acts on a 1.5-kg, mass, giving it an acceleration of 3.0m/s^2. (A) If the same force acts on a 2.5-kg mass, what acceleration would be produced? (B) what is the magnitude of the force?
(A) a = 3.0 * (1.5 / 2.5)
(B) f = 1.5 * 3.0
To find the acceleration in each scenario, you can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. The equation can be written as:
F = m * a
Where F is the force applied, m is the mass of the object, and a is the acceleration produced.
(A) When a force acts on a 1.5 kg mass, giving it an acceleration of 3.0 m/s^2, we can substitute the given values into the equation:
F = 1.5 kg * 3.0 m/s^2
F = 4.5 N
So, the magnitude of the force is 4.5 N.
(B) Now, let's find the acceleration that would be produced when the same force acts on a 2.5 kg mass. We can rearrange the equation to solve for acceleration:
F = m * a
Rearranging the equation, we get:
a = F / m
Substituting the known values into the equation:
a = 4.5 N / 2.5 kg
a = 1.8 m/s^2
Therefore, the acceleration produced when the same force acts on a 2.5 kg mass would be 1.8 m/s^2.