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A particle P is projected with speed 50m/s at an angle r to the horizontal from a point O on a horizontal plane. Given that the particle attains a maximum height of 31.25m, calculate:
(a) the value of r
(b) the speed of P after 3 seconds
(c) the horizontal distance travelled by P while above the height of 30m.
Two smooth spheres A and B with respective masses m and 2m and of equal radii rest on a smooth horizontal plane. A is projected towards B with speed u to collide direction with B. Given that the coefficient of restitution between A and B is e and that the speed of B after this is 4u/9, find:
(a) the value of e and the velocity of A after impact
(b) the magnitude of the impulse exerted by A on B.
(c) the percentage loss in kinetic energy during this impact.

Derive the expression for electric potential due to a uniformly charged spherical shell at a point inside the shell


A 1.0m length of current carrying wire kept perpendicular to a magnetic field of magnitude 400mT experiences a force of 3.0mN. determine the current flowing in the wire


A long, straight wire of diameter 2.0mm carries a uniformly distributed current of 10A. At what distance from the axis of the wire will the magnitude of B vector be maximum.justify your answer


Determine the work done by a force F =xyi^+yzj^+xzk^ in taking particle along the path defined by the equation r(t)=ti^+2t^2j^+t^3k^,0<_t<_1from t=0 to t=2 is the force conservative

Determine the direction of maximum increase of the scalar field f(x,y,z)=xe^y+z^2 at the point O( 1,ln2,3).


Sound waves whose frequency is above 20kHz


A vertical spring with a spring constant of 900 n/m has been compressed 0.8 m. The vertical spring is then used to launch a 2kg ball straight up into the air. How fast does it leave the spring gun? How high will the ball go?


What is the resultant of the following calculation adding two vectors: F = F1 + F2. Where F1 = (a,b) and F2 = (c,d)?


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