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Work done by a variable force (one dimensional case)
Let us consider a situation where the force is acting along the X-axis and the magnitude of the force is varying with position 'x'. Thus, as the ball moves, the magnitude of the work done by the force, on the ball, changes. The adjacent graph shows the plot of a one dimensional..
Let us consider a situation where the force is acting along the X-axis and the magnitude of the force is varying with position 'x'. Thus, as the ball moves, the magnitude of the work done by the force, on the ball, changes. The adjacent graph shows the plot of a one dimensional..Dimensional Analysis
It is often necessary to convert one set of units to another. This can be done in a systematic way by the method called dimensional analysis or the conversion factor method. Conversion factor is equal to the ratio of the magnitudes of the same quantity in the two units. To obta..
Dimensional formula
When velocity is defined using the fundamental units of mass, length and time, we have when there is no mass, M 0 = 1 (algebraic theory of indices). This is the dimensional formula for velocity and we can draw the following inference. Unit of velocity depends on the unit of..
When velocity is defined using the fundamental units of mass, length and time, we have when there is no mass, M 0 = 1 (algebraic theory of indices). This is the dimensional formula for velocity and we can draw the following inference. Unit of velocity depends on the unit of..Advantages of Dimensional Analysis
Advantages of Dimensional Analysis - Dimensional equations are used to validate the correctness of a physical equation. Dimensional equations are used to derive correct relationship between different physical quantities. Dimensional equations are used to conv..
Limitations of Dimensional Analysis
Limitations of Dimensional Analysis - Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the rela..
Non-dimensional constants
The constants having no dimensions. E.g., p , e, 1, 2,3 .e..
Head-on Elastic Collision [One Dimensional Elastic Collision]
It is that elastic collision in which the colliding bodies move along the same straight line before and after the collision. Consider two bodies A and B of masses m 1 and m 2 respectively, moving along the same straight line, in the same direction. Let be their respective velocities, such..
It is that elastic collision in which the colliding bodies move along the same straight line before and after the collision. Consider two bodies A and B of masses m 1 and m 2 respectively, moving along the same straight line, in the same direction. Let be their respective velocities, such..Which of the three-dimensional figures do not have a base?
Which of the three-dimensional figures do not have a base? => (3) only or (1), (2) and (3) or (1) only or (2) only..
Identify the front view of the three-dimensional figure.
Identify the front view of the three-dimensional figure. => Figure 2 or Figure 4 or Figure 3 or Figure 1..
Which figure represents the front view of the three dimensional figure..
Which figure represents the front view of the three dimensional figure shown? => Figure 3 or Figure 4 or Figure 2 or Figure 1..
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