- + 130% 1. a) Are the following statements true or false? i) Work and potential

Question

- + 130% 1. a) Are the following statements true or false? i) Work and potential energy are both scalar quantities. i) If the speed of a particle is constant, the acceleration must be zero. i) The angular momentum vector of a particle is always perpendicular to its velocity vector iv) If a moving particle coldes clasticaly with a stationuary particle of the same mass, no kinetic energy is lost during the collision. v) The cube of the period of the orbit of a planet around the Sun is proportional to the square of its distance from the Sun. 5 marks b) A particle is moving in a one-dimensional potential well in which the force is gi by F--a/E+ /rd. Find the value of x at which the potential is minintim. ven 5 marks e) A particle of mess m collides inelastically with a second, initially stationary, particle of mass 2m, and both move off along the same line after the collimon If half of th original kinetic enerry was lost during the collision, what is tho ratio of the two final velocities? (5 markcs) bicycle whsel hse a rndius of 50 cn. Oue end of a stick, of length 1.0 m, is atteched to the centre of the wheel aud the system is macie into a gyroscope by balancing the other ead on a pivot. The wheel is set rotating, with the stick horizontal, and i to precess nt ane revolitiou every 2.0 s. Willh what angulas velocity is the wheel rotating about its own axis? (Assume that all the mnss of the wheel is around its rkn). 15 marks e) A mgia of spare contais a licld od foron, ia Newtous, which is deseribal hy the cqualion Wite P in ternas of the roondinates aud utnit wstoes of polnr ccondinatos What work is dos

Explanation / Answer

1) a)

i) Work and potential energy are both scalar quantities.....TRUE

ii) rate of change of velocity is called accelaration .......False
iii)angular momentum is L = m*(r X v)

TRUE

iv) using law of conservation of kinetic energy ,

TRUE

v) given statement is Kepler's third law of motion

hence the given statement is TRUE

according to chegg rules i answered the no.of questions

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