Question
Question One 23 marks i. What is the importance of measurement in science up Atthrology? (2 marks) b. Check if the equation. v^2=v^2+2as is Specificiently correct where v , 4, A, and S are final velocity, initial velocity, acceleration and displacementrespectively. (3 marks) c. Two forces of magnitude QV and ION are ingined at an angle of 60^circ with each other. Calculate the magnitude of resultant made by resultant with 6N force. (2 marks) 4. List two applications of viscosity. (2 marks) Q A Tiger is crouched 20 m to east of an observer. At time t=0 the Tiger begins to run due east towant an Giraffe that is 50 m to the east of the obscriber, During the first 2.0 seconds of
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Amora
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Answer
**Question One**2. **Importance of Measurement in Science and Technology (2 marks)**Measurement is crucial in science and technology for several reasons:- **Precision and Accuracy:** Measurements allow scientists and engineers to obtain precise and accurate data, which is essential for experiments, research, and development. This ensures that results are reliable and can be replicated.- **Standardization:** Measurements provide a standardized way to quantify observations, enabling consistent communication and comparison of data across different studies and technological applications.b. **Dimensional Analysis of the Equation
(3 marks)**To check if the equation is dimensionally correct, we need to analyze the dimensions of each term:-
: The dimension of velocity
is
, so
has the dimension
.-
: Similarly, the initial velocity
also has the dimension
.-
: Acceleration
has the dimension
, and displacement
has the dimension
. Therefore,
has the dimension
.Since all terms have the same dimension
, the equation is dimensionally correct.c. **Resultant Force Calculation (2 marks)**Given two forces:
and
, inclined at an angle of
:The magnitude of the resultant force
can be calculated using the formula:
Substitute the given values:
d. **Applications of Viscosity (2 marks)**Two applications of viscosity are:1. **Lubrication:** Viscosity is a critical property in selecting lubricants for machinery. It determines how well the lubricant can reduce friction between moving parts.2. **Fluid Dynamics:** In fluid dynamics, viscosity affects the flow rate and behavior of fluids in pipes and channels, influencing engineering designs in fields like hydraulics and aerodynamics.e. **Tiger's Motion Problem (Incomplete Question)**The question seems incomplete. Please provide additional details or clarify the scenario for further assistance.