3 questions from Einstein energy mass
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here are the solutions to your questions about Einstein's mass-energy equivalence.
Question 1: What is the formula for Einstein's mass-energy equivalence?
The formula is E = mc², where:
This equation states that energy and mass are interchangeable; mass can be converted into energy, and energy can be converted into mass.
Question 2: If 1 kg of mass is converted into energy, how much energy is released?
Step 1: Identify the given values. Mass (m) = 1 kg Speed of light (c) = 3.00 × 10⁸ m/s
Step 2: Use Einstein's mass-energy equivalence formula: E = mc².
Step 3: Substitute the given values into the formula. E = (1 kg) × (3.00 × 10⁸ m/s)²
Step 4: Calculate the square of the speed of light. (3.00 × 10⁸ m/s)² = 9.00 × 10¹⁶ m²/s²
Step 5: Multiply the mass by the squared speed of light. E = 1 kg × 9.00 × 10¹⁶ m²/s² E = 9.00 × 10¹⁶ kg·m²/s²
Step 6: Recognize that kg·m²/s² is equivalent to Joules (J). E = 9.00 × 10¹⁶ J
The energy released is 9.00 × 10¹⁶ Joules.
Question 3: Explain the significance of E=mc² in simple terms.
E=mc² is a fundamental equation in physics that shows mass and energy are two forms of the same thing. It means a tiny amount of mass can be converted into a huge amount of energy, because the speed of light (c) is a very large number, and it's squared in the equation. This principle explains how nuclear reactions, like those in stars or nuclear power plants, release so much energy.
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