Mathematics In ...

The 9 kg block is moving to the right with a velocity of 0.6 m/s on a horizontal surface when a force F, whose time variation is shown in the graph, is applied to it at time t = 0. Calculate the velocity v of the block when t= 0.4s. The coefficient of kinetic fricton is μk = 0.3. [This question includes concepts from Work, Energy & Power chapter]

The relationship between force and position is shown in the figure given (in one dimensional case). Find the work done by the force in displaying a body from x= 1 cm to x= 5cm is [This question includes concepts from Work, Energy and Power chapter]

The graph between the resistive force F acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 25 kg and initial velocity is 2 m/s. When the distance covered by the body is 4 m, its kinetic energy would be  

A constant force F is applied on a body. The power (P) generated is related to the time elapsed (t) as

The gravitational field due to a mass distribution is given by where k is a constant. Assuming the potential to be zero at infinity, find the potential at a point x = a.

Electric field is given by E = 100/x² . Find the potential difference between x= 10 and x= 20 m.

Calculate the electric field on the axis of a very long uniformly charged, thin rod at a distance r from one end. The charge per unit length of the rod is λ.

If rain falls vertically with a velocity V_r wrt wind and wind blows with a velocity V_w from east to west, then a person standing on the roadside should hold the umbrella in the direction

A force is 60 ° inclined to the horizontal. If its rectangular component in the horizontal direction is 50 N, then the magnitude of the force in the vertical direction is