A force of 2 kg weight acts on a body of mass 4.9 kg .Find the acceleration produced.
Fap = mg = 2kg * 9.8N/kg = 19.6 N. = Force applied.
a = Fap/m = 19.6 / 4.9 = 4 m/s^2.
To find the acceleration produced by a force, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The equation for Newton's second law is:
F = ma
Where:
F is the force applied or net force (in newtons),
m is the mass of the object (in kilograms), and
a is the acceleration produced (in meters per second squared).
In this case, the given force is the weight of the object, which we can calculate using the formula:
Weight = mass x acceleration due to gravity
Given:
Weight = 2 kg weight
Mass = 4.9 kg
To find the acceleration, we can rearrange the equation to solve for 'a':
F = ma
Weight = ma
2 kg weight = (4.9 kg) x a
Divide both sides by 4.9 kg to solve for 'a':
2 kg weight / 4.9 kg = a
a ≈ 0.408 meters per second squared
Therefore, the acceleration produced by a force of 2 kg weight acting on a body with a mass of 4.9 kg is approximately 0.408 meters per second squared.