What is the dimension of force? (2019)

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Question: What is the dimension of force? (2019)

Options:

Correct Answer: M^1L^1T^-2

Exam Year: 2019

Solution:

The dimension of force is M^1L^1T^-2.

What is the dimension of force? (2019)

What is the dimension of force? (2019)

Step 1: Understand that force is a physical quantity that can be measured.
Step 2: Recall that physical quantities can be expressed in terms of basic dimensions: mass (M), length (L), and time (T).
Step 3: Remember Newton's second law of motion, which states that force equals mass times acceleration (F = m * a).
Step 4: Identify the dimensions of mass (m), which is M^1 (one mass unit).
Step 5: Recognize that acceleration (a) is the change in velocity over time. Velocity has dimensions of length over time (L/T).
Step 6: Therefore, acceleration has dimensions of length divided by time squared (L/T^2).
Step 7: Combine the dimensions of mass and acceleration to find the dimension of force: F = M^1 * (L^1/T^2).
Step 8: Simplify the expression to get the final dimension of force: M^1L^1T^-2.

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