You stand on a spring scale on the floor of an elevator. The scale shows the highest reading when the elevator
1. remains stationary.
2. moves upward with increasing speed.
3. moves downward with increasing speed.
4. moves downward at constant speed.
5. moves upward with decreasing speed.

Respuesta :

Answer:

2. moves upward with increasing speed.

Explanation:

When an object it going up in an elevator, the object experiences the upward acceleration as well as the acceleration due to gravity. This means that the object feels that they are being pushed down.

Hence, the scale shows highest reading when the elevator moves upward with increasing speed.

The force on the scale would be

[tex]F=m(g+a)[/tex]

Where,

m = Mass of object

g = Acceleration due to gravity = 9.81 m/s²

a = Acceleration of the elevator

The scale shows the highest reading when the elevator moves upward with increasing speed.

The reading on the scale can be determined by applying Newton's second law of motion.

F = ma

When the elevator is moving upwards, the reading on the scale is given as;

R = F + W

R = ma + mg

R = m(a + g)

When the elevator is moving downwards, the reading on the scale is given as;

R = W - F

R = mg - ma

R = m(g - a)

When the elevator is stationary, the reading on the scale is given as;

a = 0

R = mg

Thus, the scale shows the highest reading when the elevator moves upward with increasing speed.

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