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?
Help me please??
A. F = M*a = 1.5 * 3.0 = 4.5 N.
F = M*a, a = F/M = 4.5/2.5 = 1.8 m/s^2.
B. F = 4.5 N.(part A).
To find the acceleration when the force is applied to a different mass, you can use Newton's second law of motion, which states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration. The formula for this is:
F = m * a
Where:
F = Force
m = Mass
a = Acceleration
(A) To find the acceleration when the same force acts on a 2.5-kg mass, we can rearrange the equation to solve for acceleration:
a = F / m
We know that the force (F) is the same, and the mass (m) changes. Plug in the given values:
m1 = 1.5 kg (initial mass)
a1 = 3.0 m/s^2 (initial acceleration)
m2 = 2.5 kg (new mass)
Calculate the new acceleration (a2):
a2 = F / m2
a2 = (F / m1) * (m1 / m2)
a2 = a1 * (m1 / m2)
Substitute the given values:
a2 = 3.0 m/s^2 * (1.5 kg / 2.5 kg)
a2 = 3.0 m/s^2 * 0.6
a2 = 1.8 m/s^2
So, when the same force acts on a 2.5-kg mass, it would produce an acceleration of 1.8 m/s^2.
(B) To find the magnitude of the force, we can rearrange Newton's second law equation to solve for force:
F = m * a
Plug in the given values:
m = 1.5 kg (mass)
a = 3.0 m/s^2 (acceleration)
Calculate the force (F):
F = m * a
F = 1.5 kg * 3.0 m/s^2
F = 4.5 N
Therefore, the magnitude of the force is 4.5 Newtons.