Why acceleration is not 9.8m/s^2?

In this case, it is assumed that the positive direction is upwards and the negative direction is downwards. Therefore, the acceleration is positive. In summary, the object is dropped from a height of 39.4m and hits the ground with a speed of 1.61m/s. The average acceleration is 3.29×10-2 m/s^2, which is positive because the positive direction is upwards and the negative direction is downwards.
  • #1
cmkc109
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Homework Statement



An object is dropped from ret from a height of 39.4m. What is its average acceleration (assumed to be constant) if it hits the ground with a speed of 1.61m/s?


Homework Equations





The Attempt at a Solution



I actually got the answer from this question. But I am wondering why a is not -9.8m/s^2
The answer is 3.29×10-2 m/s^2, shouldn't it be negative as acceleration is acting downwards?
 
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  • #2
Possible reasons:
- The object is not dropped on earth, but somewhere else
- Some other force acts on it

The sign of the acceleration is arbitrary and depends on the coordinate system.
 

1. Why is the acceleration due to gravity not exactly 9.8m/s^2?

The value of 9.8m/s^2 is an average estimate of the acceleration due to gravity on Earth's surface. In reality, this value varies depending on location, altitude, and other factors such as the rotation of the Earth.

2. How does altitude affect the acceleration due to gravity?

As altitude increases, the distance between an object and the center of Earth decreases. This results in a weaker gravitational force, and therefore a lower acceleration due to gravity. At higher altitudes, the value may be slightly lower than 9.8m/s^2.

3. Why does the acceleration due to gravity differ on different planets?

The acceleration due to gravity is determined by the mass and radius of a planet. Planets with larger masses and/or radii will have a stronger gravitational force, resulting in a higher acceleration due to gravity. For example, the acceleration due to gravity on Jupiter is 24.8m/s^2, while on Mars it is 3.7m/s^2.

4. How does the rotation of the Earth affect the acceleration due to gravity?

Due to the Earth's rotation, objects at the equator are farther from the center of the Earth compared to objects at the poles. This results in a slightly weaker gravitational force at the equator, and therefore a slightly lower acceleration due to gravity.

5. Can the acceleration due to gravity change over time?

The acceleration due to gravity is a constant value, but it can vary due to changes in the Earth's mass distribution. For example, natural disasters such as earthquakes can shift mass around and cause a temporary change in the acceleration due to gravity in that area.

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