You pull upward on a stuffed suitcase with a force of 100 N, and it accelerates upward at 0.816 m/s2.
(a) What is the mass of the suitcase?
Tension, T = 100N
mass = m kg
acceleration = 0.816 m/s²
T = mg + ma
Solve for m
To find the mass of the suitcase, we can use Newton's second law of motion, which relates the force exerted on an object to its mass and acceleration.
Newton's second law can be written as:
F = m * a
Where:
F is the force applied (in this case, 100 N),
m is the mass of the object we want to find,
and a is the acceleration (in this case, 0.816 m/s^2).
Rearranging the equation to solve for mass:
m = F / a
Substituting the given values:
m = 100 N / 0.816 m/s^2
m ≈ 122.55 kg
The mass of the suitcase is approximately 122.55 kg.
To determine the mass of the suitcase, we 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 is as follows:
F = ma
Where:
F = net force applied (in Newtons)
m = mass of the object (in kilograms)
a = acceleration of the object (in meters per second squared)
In your case, the net force applied (F) is 100 N, and the acceleration (a) is 0.816 m/s^2. We need to rearrange the equation to solve for the mass (m):
m = F / a
Substituting the given values:
m = 100 N / 0.816 m/s^2
m ≈ 122.55 kg
Therefore, the mass of the suitcase is approximately 122.55 kilograms.