A ball of mass 0.25 kg, moving at 6.0 ms' at an angle of 45° below the horizontal collides with a vertical wall. It rebounds at the same angle, as shown on the diagram below, with an unchanged speed. The ball is touching the wall for 0.012 seconds. 45° 45 (a) State the Law of Conservation of Momentum (b) Determine the change in momentum of the ball due to the collision.
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
I want the explanation of this question
It is given that the mass of the ball is , and initial velocity is 6 m/s acting at 45 degree inclination to the vertical. And the final velocity is also 6 m/s acting at 45 degree to the vertical. So, the initial and final velocities can be written in vector form as,
Momentum of a body(P) is defined as the product of mass and the velocity of the body. It is expressed mathematically as follows:
Here, mass of the body is m and the velocity of the body is v.
Part a)
Law of conservation of momentum states that, "In an elastic collision of two bodies, the total momentum before the collision will always be equal to the total momentum after collision. It is expressed as,
It indicates the momentum transfers from one object to another such that it is conserved. No loss in the momentum occurs during the elastic collision.
Step by step
Solved in 3 steps
