# Acceleration of 2 kg Stone Dropped from Cliff

• kataran
In summary, a 2 kg stone is dropped from a cliff with a height of 72 meters. The air resistance on the stone is assumed to be a constant value of 2 Newton's. The question is asking for the acceleration produced on the stone by the resultant force, which can be found using one of Newton's laws and considering all forces acting on the object.
kataran
1. 4. A stone is dropped from the edge of a cliff and falls into the sea 72 meters below. The stone has a mass of 2 kg: air resistance on the stone may be assumed to have a constant value of 2 Newton’s. (gravity strength on Earth = 10 N/kg; a mass of 1 kg needs a 10 Newton force to lift it)
D) What acceleration will this resultant force produce on the stone?

Hi i have been assigned this but cannot find my notes on it and I am stuck could anyone please help?

Can you at least quote a relevant formula, e.g. one that will give you the acceleration from the forces? (Hint: Newton)

Yes, use one of Newton's laws when thinking of what will give you the acceleration. Also think in terms of exactly what forces are acting on the object.

## 1. How does the mass of the stone affect its acceleration?

The mass of the stone does not affect its acceleration. According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that as long as the force of gravity remains constant, the mass of the stone will not affect its acceleration.

## 2. What is the acceleration of a 2 kg stone dropped from a cliff?

The acceleration of a 2 kg stone dropped from a cliff is approximately 9.8 meters per second squared, which is the acceleration due to gravity on Earth. This means that the stone will gain a velocity of 9.8 meters per second every second it falls.

## 3. How does air resistance affect the acceleration of the stone?

Air resistance can affect the acceleration of the stone by slowing it down. As the stone falls, it will encounter air resistance which will exert a force in the opposite direction of its motion. This will cause the stone to accelerate at a slower rate than it would in a vacuum.

## 4. What factors can affect the acceleration of the stone?

The acceleration of the stone can be affected by the force of gravity, air resistance, and the mass of the stone. Other factors that may affect the acceleration include the height of the cliff, the shape and size of the stone, and the presence of any external forces acting on the stone.

## 5. How is the acceleration of the stone calculated?

The acceleration of the stone can be calculated using the formula a = F/m, where a is acceleration, F is the net force acting on the stone, and m is the mass of the stone. In this case, the net force is the force of gravity, which is equal to the mass of the stone multiplied by the acceleration due to gravity (9.8 m/s²).

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