An airplane must reach a speed of 322 km/h to take off. If the runway is 500 m long, what is the minimum value of the acceleration that will allow the airplane to take off successfully?
An inelastic uniform sphere of radius a is sliding without rotation on a smooth horizontal plane when it impinges on a thin horizontal rod at right angles to its direction of motion and at a height b from the plane. Show that it will just roll over the rod if its velocity be
Two boxes connected by a light horizontal rope are on a horizontal surface. The coefficient of kinetic friction between each box and the surface is 0.30. Box B has a mass of 5kg and box A has a mass of mkg. A force F with a magnitude of 40N and direction of 53.1° above the horizontal is applied on the 5kg box, and both boxes move to the right with an acceleration of 1.5m/s^2.
(A) what is the tension on the rope that connects the two boxes?
(B) what is the mass of the other box?
when a stone has fallen a distance x after being dropped from the top of a tower another stone is dropped from point y below the top op the tower, if both reach the ground at the same time prove that height of the tower is (x+y)2/4x