A person with a mass of 110 kg is standing on a scale that reads weight in newtons inside of an elevator. If the elevator accelerates upward at 3.4 m/s2 , what does the scale read?

[(g + 3.4)/g]*M g = 13.2*110

= _____ Newtons

To calculate the weight reading on the scale, we need to consider the gravitational force acting on the person and the acceleration of the elevator.

Step 1: Find the gravitational force acting on the person.
The gravitational force can be calculated using the formula:
F = m * g
Where:
F = gravitational force (weight)
m = mass of the person (110 kg)
g = acceleration due to gravity (9.8 m/s^2)

So, F = 110 kg * 9.8 m/s^2

Step 2: Find the net force acting on the person.
The net force on the person is the sum of the gravitational force and the force exerted by the elevator due to its acceleration.

Net force = gravitational force + force due to elevator's acceleration

Step 3: Calculate the force due to the elevator's acceleration.
The force due to the elevator's acceleration can be calculated using the formula:
F = m * a
Where:
F = force
m = mass of the person (110 kg)
a = acceleration of the elevator (3.4 m/s^2)

So, F = 110 kg * 3.4 m/s^2

Step 4: Calculate the net force acting on the person.
Net force = 110 kg * 9.8 m/s^2 + 110 kg * 3.4 m/s^2

Step 5: Calculate the weight reading on the scale.
The weight reading on the scale is equal to the net force acting on the person.

Therefore, the scale would read the net force calculated in step 5.

To find out what the scale reads, we need to understand the relationship between weight, mass, and acceleration. Let's break it down step by step.

1. We know the person's mass is 110 kg. Mass is a measure of the amount of matter in an object and is constant everywhere.

2. The weight of an object is the force of gravity pulling it downward. It is calculated using the equation: weight = mass × acceleration due to gravity.

3. However, in this case, we are dealing with an accelerating elevator, so we need to account for the elevator's acceleration as well.

4. The net force acting on the person in the elevator is the force of gravity pulling downward (weight) minus the force exerted by the elevator pushing upward.

Now, let's calculate the scale reading using these steps:

Step 1: Determine the weight of the person at rest.
weight = mass × acceleration due to gravity

The acceleration due to gravity on Earth is approximately 9.8 m/s^2 (varies slightly depending on location). So:
weight = 110 kg × 9.8 m/s^2

Step 2: Determine the net force acting on the person in the elevator.
net force = weight - force exerted by the elevator

Step 3: Determine the force exerted by the elevator.
force exerted by the elevator = mass × elevator's acceleration

Given that the elevator's acceleration is 3.4 m/s^2, we can calculate the force exerted by the elevator:
force exerted by the elevator = 110 kg × 3.4 m/s^2

Step 4: Calculate the net force acting on the person.
net force = weight - force exerted by the elevator

Step 5: Calculate the scale reading.
The scale reading corresponds to the net force acting on the person in the elevator.

In this case:
scale reading = net force

Now, you can follow these steps to calculate the scale reading of the person standing on the scale in the accelerating elevator.