An elevator is moving up with an acceleration of 3.36 m/s^2. What would be the apparent weight of a 64.2 kg man in the elevator?
A)215.71 N
B)413.45 N
C)844.87
D)Need more information
ok I got 847.44 but as you can see that's not an answer choice so my guess is D, need more information.
To find the apparent weight of the man in the elevator, you need to use the equation:
Apparent weight = mass × (acceleration due to gravity + acceleration of the elevator)
In this case, the mass of the man is given as 64.2 kg, and the acceleration of the elevator is given as 3.36 m/s^2.
First, you need to find the acceleration due to gravity. On the surface of the Earth, the acceleration due to gravity is approximately 9.8 m/s^2. Therefore, you can substitute these values into the equation:
Apparent weight = 64.2 kg × (9.8 m/s^2 + 3.36 m/s^2)
Applying the calculation:
Apparent weight = 64.2 kg × 13.16 m/s^2
Apparent weight = 845.112 N
Now, looking at the answer choices:
A) 215.71 N
B) 413.45 N
C) 844.87 N
D) Need more information
Since the calculated apparent weight of 845.112 N is closest to option C) 844.87 N, the correct answer is C) 844.87 N.
Therefore, your original answer of 847.44 N is not an answer choice. The most appropriate option to select from the given answer choices would indeed be D) Need more information.