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The image you've uploaded contains three physics problems focused on Newtonian mechanics and circular motion. Let's go over each problem step by step.

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### Problem 1:
**Topic: Newton's Laws and Tension in Strings**

**Given:**
- Two blocks connected by a string.
- The block on the table weighs 422 N.
- The hanging block weighs 185 N.
- Assume friction is negligible.

**Questions:**
a) Find the acceleration of both blocks.  
b) Determine the tension in the string.

### Solution Outline:
- First, apply Newton’s second law to both blocks.
- For the block on the table (422 N), the only horizontal force is the tension in the string.
- For the hanging block (185 N), both gravity and tension act vertically.

The equations can be set up as:
1. \( T = m_1 a \) for the block on the table (where \( m_1 = \frac{422 \, \text{N}}{9.8 \, \text{m/s}^2} \)).
2. \( m_2 g - T = m_2 a \) for the hanging block (where \( m_2 = \frac{185 \, \text{N}}{9.8 \, \text{m/s}^2} \)).

Solve these two equations to find the acceleration \( a \) and the tension \( T \).

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### Problem 2:
**Topic: Circular Motion**

**Given:**
- A body is moving in a circle with a constant angular speed.
- Radius = 2 meters.
- Angular speed = 4 rad/s.

**Questions:**
a) Find the linear speed of the object.  
b) Determine the centripetal acceleration.

### Solution Outline:
- **Linear speed** \( v = \omega r \), where \( \omega = 4 \, \text{rad/s} \) and \( r = 2 \, \text{m} \).
- **Centripetal acceleration** \( a_c = \frac{v^2}{r} \).

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### Problem 3:
**Topic: Centripetal Force and Circular Motion**

**Given:**
- A ball of mass 0.5 kg is tied with a string and spun horizontally.
- Radius = 1 meter.
- Linear speed = 4 m/s.

**Questions:**
a) Explain the concept of centripetal force.  
b) Calculate the centripetal force acting on the ball.

### Solution Outline:
- **Centripetal force** is the inward force required to keep an object moving in a circular path.
- **Centripetal force** formula: \( F_c = \frac{mv^2}{r} \).

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Would you like me to calculate any specific part of these problems, or explain a concept in more detail?

Here are 5 related questions to expand your understanding:
1. How would friction affect the acceleration in Problem 1?
2. Can angular velocity be constant if the speed of the object changes?
3. How does tension differ in vertical versus horizontal circular motion?
4. Why is centripetal acceleration always directed toward the center of the circle?
5. How does increasing the mass of the object affect the tension in the string?

**Tip:** When solving mechanics problems, always start by drawing a free-body diagram.

There are three physics problems focusing on Newtonian mechanics, circular motion, and centripetal force. The problems include a system of blocks and pulley, an object moving in circular motion with a given angular speed, and a ball being spun with a string.

Step-by-step solutions to Newtonian mechanics problems involving block systems, tension, and circular motion with centripetal force. Includes calculations for acceleration, tension in strings, linear speed, and centripetal acceleration.

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