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The acceleration produced in a body by a...

The acceleration produced in a body by a force depends only upon its

A

size

B

shape

C

mass

D

colour

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The correct Answer is:
To solve the question "The acceleration produced in a body by a force depends only upon its...", we will analyze the factors that influence acceleration according to Newton's second law of motion. ### Step-by-Step Solution: 1. **Understanding Newton's Second Law**: - According to Newton's second law, the relationship between force (F), mass (m), and acceleration (a) is given by the equation: \[ F = m \cdot a \] - Rearranging this equation gives us: \[ a = \frac{F}{m} \] 2. **Identifying Variables**: - In the equation \( a = \frac{F}{m} \), we can see that acceleration (a) is directly proportional to the force (F) applied and inversely proportional to the mass (m) of the body. 3. **Analyzing the Effect of Mass**: - If the force applied is constant, then as the mass of the body increases, the acceleration decreases. This means that acceleration depends inversely on mass. 4. **Considering Other Factors**: - The question mentions size, shape, and color. - **Size**: If the size of the body increases but the mass remains constant, the acceleration does not change. Therefore, size does not affect acceleration. - **Shape**: Similarly, the shape of the body does not affect the mass. As long as the mass is constant, the acceleration remains the same regardless of shape. - **Color**: The color of the body has no impact on its mass or the force applied, and thus does not affect acceleration. 5. **Conclusion**: - From the analysis, we conclude that the acceleration produced in a body by a force depends only on the mass of the body when the force is constant. Therefore, the correct answer is that acceleration depends only on mass. ### Final Answer: The acceleration produced in a body by a force depends only upon its **mass**. ---

To solve the question "The acceleration produced in a body by a force depends only upon its...", we will analyze the factors that influence acceleration according to Newton's second law of motion. ### Step-by-Step Solution: 1. **Understanding Newton's Second Law**: - According to Newton's second law, the relationship between force (F), mass (m), and acceleration (a) is given by the equation: \[ F = m \cdot a ...
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