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A car travels east at constant velocity. The net force on the car is:

A fermentation broth is required to be mixed turbulently using an impeller. The density & viscosity of broth is found to be 850 kg/m3 and 22 Pas. What must be the minimum diameter of the impeller to achieve Reynolds number of 5600, if impeller is required to rotate at 100 revolution per minute?

A vertical wall of height 3.75 m is at a horizontal distance of 5 m from a point O on the ground. A particle is projected from O with initial speed 10 m/s at an angle of elevation x. Given that the particle just clears the wall, find
A) the value of tanx
B) the speed of the particle as it passes over the wall
C) the horizontal distance of the particle from the wall when it again reaches the level of O. Take g as 10 m s^-2

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 bicycles tyres are set rolling with the same initial speed of 3.5m/s on a long straight road and the distance each travels before its speed is reduced by half is measured. One tyre is inflated to a pressure of 40 psi and goes 18.1m; the other is at 105 psi and goes 92.9m, what is the coefficient of rolling friction for each? Assume that the net horizontal force is due to rolling friction only.
A ship travels 20km in a direction 30 degrees south of east, then turns and goes due south for another 40km, then turns again 30 degrees of South of East and goes another 20km. What is the ship's displacement from its original position?
You have boasted to your friends that you can ride your bicycle at 30 kph (km per hour) over a 30 km race comprising two 15 km laps. However, when you finish the first lap, your coach tells you that your average speed so far is only 15 kph. How fast must you ride to bring your average speed up to 30 kph.?

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


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