Give the magnitude and directions of the net force acting on a rain drop falling with a constant speed.

Answer

To solve the problem of determining the magnitude and direction of the net force acting on a raindrop falling with a constant speed, we can follow these steps:

### Step 1: Understand the Concept of Constant Speed
When an object is falling with a constant speed, it means that its velocity is not changing. This implies that the acceleration of the raindrop is zero.

### Step 2: Apply Newton's Second Law
According to Newton's second law of motion, the net force acting on an object is given by the equation:
\[ F_{\text{net}} = m \cdot a \]
where \( F_{\text{net}} \) is the net force, \( m \) is the mass of the object, and \( a \) is the acceleration.

### Step 3: Determine the Acceleration
Since the raindrop is falling with a constant speed, the acceleration \( a \) is zero:
\[ a = 0 \]

### Step 4: Calculate the Net Force
Substituting the value of acceleration into the equation from Step 2:
\[ F_{\text{net}} = m \cdot 0 = 0 \]
This means that the net force acting on the raindrop is zero.

### Step 5: Determine the Direction of the Net Force
Since the net force is zero, there is no net direction of force acting on the raindrop. However, it is important to note that while the raindrop is falling, it experiences two forces: the gravitational force acting downward and the drag force (air resistance) acting upward. These two forces are equal in magnitude and opposite in direction when the raindrop reaches constant speed, resulting in a net force of zero.

### Final Answer
- **Magnitude of the net force:** 0 N
- **Direction of the net force:** There is no net direction since the net force is zero.

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