Understanding the Concepts

* Weight: The force of gravity acting on an object's mass (W = mg, where m is mass and g is acceleration due to gravity).

* Normal Force: The force exerted by a surface perpendicular to the object in contact with it. In this case, the scale provides the normal force.

* Net Force: The sum of all forces acting on an object.

* Newton's Second Law: The net force on an object is equal to its mass times its acceleration (F_net = ma).

Solution

1. Identify the forces:

* Weight (W): This is the force due to gravity acting on the student. We don't know the student's mass, but we can express it as W = mg.

* Normal Force (N): This is the force the scale reads, which is 836 N.

* Net Force (F_net): This is the difference between the normal force and the weight, since they act in opposite directions. F_net = N - W.

2. Apply Newton's Second Law:

* F_net = ma

* N - W = ma

* N - mg = ma

3. Solve for acceleration (a):

* a = (N - mg) / m

4. We need to find the student's mass (m). We can use the student's weight (W = mg) and the acceleration due to gravity (g = 9.8 m/s²) to find the mass:

* m = W / g

Since we don't have the student's weight, we can't calculate the exact acceleration. However, we can express the acceleration in terms of the weight (W):

1. Substitute m = W/g into the acceleration equation:

* a = (N - (W/g) * g) / (W/g)

* a = (N - W) / (W/g)

* a = (N - W) * g / W

Therefore, the acceleration of the elevator is (N - W) * g / W, where:

* N = 836 N (normal force)

* W = the student's weight in Newtons

* g = 9.8 m/s² (acceleration due to gravity)

To find the exact acceleration, you would need the student's weight.