Final answer:
The mass of the suitcase calculated using Newton's second law of motion is approximately 149 kg, which most closely matches option D. The weight of the suitcase is approximately 1461 N.
Step-by-step explanation:
To determine the mass of the suitcase using the provided force and acceleration, we can use Newton's second law of motion: F = ma, where F is the force applied, m is the mass of the object, and a is the acceleration.
Given:
F = 105 N (the lifting force applied)
a = 0.705 m/s2 (the acceleration of the suitcase)
To find the mass of the suitcase (m), we rearrange the equation as follows:
m = F / a
m = 105 N / 0.705 m/s2
m = 148.936 kg (mass of the suitcase)
However, when we look at the available options, none of them match this result exactly. Assuming that the question could contain a typo with option D being close, the correct calculation shows the mass as approximately 149 kg (option D).
To calculate the weight of the suitcase (W), we use the equation W = mg, where g is the acceleration due to gravity (9.81 m/s2). Under Earth's gravity:
W = 148.936 kg * 9.81 m/s2 = 1461.010 N
The weight is approximately 1461 N.