4. An object is being lifted to the top of building by a light inextensible rope with a tension of 20 N at an acceleration of 1.4 m/s2. Neglecting air resistance, calculate the object’s mass.
F = ma = 20 N.
m*1.4 = 20.
m = 20 / 1.4 = 14.3 kg.
To calculate the object's mass, we can use 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.
In this case, the force acting on the object is the tension in the rope, which is 20 N, and the acceleration is given as 1.4 m/s². So, we can use the formula:
Force = mass × acceleration
Rearranging the formula to solve for mass, we have:
mass = Force / acceleration
Substituting the given values into the formula, we get:
mass = 20 N / 1.4 m/s²
Evaluating the equation, we find:
mass = 14.29 kg
Therefore, the object's mass is approximately 14.29 kg.