Final answer:
Using Newton's second law of motion and assuming the only forces acting on the suitcase are gravity and the upward pull, the mass of the suitcase that accelerates upward is found to be approximately 9.66 kg.
Step-by-step explanation:
To determine the mass of the suitcase that accelerates upward, we use Newton's second law of motion, which states that the force acting on an object equals the mass of the object multiplied by its acceleration (F = m * a). In this case, the force you exert upwards on the suitcase is 100 N, and the acceleration is 0.740 m/s2. Assuming there is no other force acting on the suitcase besides gravity and the upward pull, we can set up the equation:
Fnet = F - m * g = m * a
Where:
F is the force you apply (100 N),
m is the mass of the suitcase,
g is the acceleration due to gravity (9.81 m/s2),
a is the acceleration of the suitcase (0.740 m/s2).
We can then solve for the mass (m) as follows:
m = F / (a + g)
m = 100 N / (0.740 m/s2 + 9.81 m/s2)
m ≈ 9.66 kg
Therefore, the mass of the suitcase is approximately 9.66 kg.