Explanation
Force is defined by Newton’s Second Law:
Force=Mass×Acceleration
Step 1: Write dimensions
Step 2: Multiply dimensions
[M] × [L T⁻²] = [M L T⁻²]
Dimensional Formula of Force
[M L T⁻²]
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1. Length – [L]
2. Mass – [M]
3. Time – [T]
4. Speed/Velocity – [LT⁻¹]
5. Acceleration – [LT⁻²]
6. Force – [MLT⁻²]
7. Work/Energy – [ML²T⁻²]
8. Power – [ML²T⁻³]
9. Pressure – [ML⁻¹T⁻²]
10. Density – [ML⁻³]
11. Momentum – [MLT⁻¹]
12. Impulse – [MLT⁻¹]
13. Gravitational constant (G) – [M⁻¹L³T⁻²]
14. Planck’s constant (h) – [ML²T⁻¹]
15. Charge – [TI] (T = time, I = current)
16. Potential difference (Voltage) – [ML²T⁻³A⁻¹]
17. Electric current – [I]
18. Electric resistance – [ML²T⁻³A⁻²]
19. Capacitance – [M⁻¹L⁻²T⁴A²]
20. Magnetic field (B) – [MT⁻²A⁻¹]