Final answer:
To find the magnitude of the acceleration, we can use Newton's second law of motion.
Step-by-step explanation:
The person is lifting an object with a mass of 10 kg upward with an acceleration of a. Given that the person feels a normal force of 796 N from the floor, we can use Newton's second law of motion to find the magnitude of the force exerted by the person:
F = ma + mg, where F is the force exerted by the person, m is the mass of the object, a is the acceleration, and g is the acceleration due to gravity. Plugging in the values:
F = (60 kg)(a) + (60 kg)(9.8 m/s^2) = 796 N
Simplifying the equation, we have:
60a + 588 = 796
60a = 208
a = 3.47 m/s^2
Therefore, the magnitude of the acceleration is 3.47 m/s^2.