Answer:
MT⁻¹
Explanation:
Given equation:
F = Kv --------------(i)
Where;
F = Magnitude of force experienced by the object
v = speed at which the object is moving
K = constant.
To get the dimension of K, follow the following steps:
i. Make K subject of the formula in equation(i)
K = F / v
ii. Get the dimension of force F and speed v
Dimension of force = MLT⁻²
Dimension of velocity = LT⁻¹
iii. Substitute these dimensions into the result of (i) above;
K = MLT⁻² / LT⁻¹
iv. Simplify the result in (iii)
First, the Ls in the numerator and denominator will cancel out
K = MT⁻² / T⁻¹
Next, the Ts will be expressed as follows
K = MT⁻² x T¹ [using the law of indices]
K = MT⁻²⁺¹
K = MT⁻¹
Therefore, the dimension of K is MT⁻¹
