1 newton=_______dyne.

(a) 103

(b) 107

(c) 105

(d) 108

To convert newtons to dynes, we need to understand the relationship between these two units of force. A newton is a unit of force in the International System of Units (SI), while a dyne is a unit of force in the centimeter-gram-second (CGS) system. The conversion factor between these two units is crucial for solving problems in physics that involve different measurement systems.

Understanding the Conversion Factor

1 newton is defined as the force required to accelerate a mass of 1 kilogram at a rate of 1 meter per second squared. In the CGS system, 1 dyne is defined as the force required to accelerate a mass of 1 gram at a rate of 1 centimeter per second squared. To convert between these units, we need to establish how many dynes are in a newton.

Breaking Down the Units

• 1 newton = 1 kg·m/s²
• 1 kg = 1000 grams
• 1 m = 100 centimeters

Now, substituting the kilogram and meter into the newton definition, we get:

1 newton = (1000 grams) × (100 centimeters/second²) = 100,000 grams·centimeters/second²

Final Conversion

Since 1 dyne = 1 gram·centimeter/second², we can express the conversion as:

1 newton = 100,000 dynes

Thus, the answer to the question "1 newton = _______ dyne" is 100,000 dynes, which corresponds to option (c) 10⁵.

Summary of the Conversion

In summary, when converting newtons to dynes, remember that:

• 1 newton = 10⁵ dynes
• This conversion is essential for working with different systems of measurement in physics.

Understanding these conversions allows you to tackle a variety of problems in mechanics and other areas of physics effectively. If you have any more questions about units or conversions, feel free to ask!