Two particles of masses 1.0 kg and 2.0 kg are placed at a separation of 50 cm. Assuming that the only foces acting on the particles are their mutual gravitation find the initial acceleration of hthe two particles.

Explanation

To solve the problem of finding the initial acceleration of two particles with masses 1.0 kg and 2.0 kg placed 50 cm apart, we will use Newton's law of universal gravitation and Newton's second law of motion. Here’s a step-by-step solution:

### Step 1: Identify the Given Data
- Mass of particle 1, \( m_1 = 1.0 \, \text{kg} \)
- Mass of particle 2, \( m_2 = 2.0 \, \text{kg} \)
- Separation distance, \( r = 50 \, \text{cm} = 0.5 \, \text{m} \)

### Step 2: Calculate the Gravitational Force
...