The tension in a string from which a 5.4kg object is suspended in an elevator is equal to 53.02N. What is magnitude of the acceleration a of the elevator? The acceleration of gravity is 9.8 m/s^2
tension= mass(g+a)
To find the magnitude of the acceleration of the elevator, we need to consider the forces acting on the object. In this case, the tension in the string is equal to the weight of the object.
The weight of the object can be calculated using the formula:
Weight = mass * acceleration due to gravity
Given:
Mass of the object (m) = 5.4 kg
Acceleration due to gravity (g) = 9.8 m/s^2
Tension in the string (T) = 53.02 N
We can equate the tension in the string to the weight of the object:
T = Weight
Substituting the values into the equation, we get:
53.02 N = 5.4 kg * 9.8 m/s^2
To find the acceleration of the elevator (a), we need to rearrange the equation to solve for "a":
a = T / m
Substituting the values, we get:
a = 53.02 N / 5.4 kg
Calculating this yields:
a ≈ 9.82 m/s^2
Therefore, the magnitude of the acceleration a of the elevator is approximately 9.82 m/s^2.