Basic Science T...

If a body starts from rest and travel $$120m$$ in the $$8^{th}$$ seconds, then acceleration is:

Which temperature is same on centigrade as well as on Fahrenheit scale?

The coefficient of static friction between the box and the train's floor is $$0.2$$. The maximum acceleration of the train in which a box lying on its floor with remain stationary is
(Take $$g=10\ m\ s^{-2}$$)

In a boat of mass $$4\ M $$ length $$'L'$$ on a frictionless water surface. Two men A (mass = $$M$$) B (mass $$ = 2M $$) are standing on the opposite ends. Now A travels a distance $$ \dfrac{L}{4} $$ relative to boat towards its center and B moves a distance $$ \dfrac{3L}{4} $$ relative to boat and meet A. The displacement of the boat on water till A and B meet is

In a rotor, a hollow vertical cyclinderical structure rotates about its axis and a person rests against the the inner wall. At a particular speed of the rotor, the floor below the person is removed and the person hangs resting against the wall without any floor. If athe radius of the rotor is $$2m$$ and the coefficient of static friction between the wall and the person is $$0.2$$ find the minimum speed at which the floor may be removed Take $$g=10\ m/s^2$$

A particle of mass $$1\ gm $$ executes an oscillatory motion on the concave surface of a spherical dish of radius $$2\ m $$ placed on a horizontal plane. If the motion of the particle begins from a point on the dish at a height of $$1\ cm $$ from the horizontal plane and the coefficient of friction is $$0.01$$, the total distance covered by the particle before it comes to rest is :

The particles A and B of mass m each are separated by a distance $$r$$. Another particle C of mass M is placed at the midpoint of A and B. Find the work done in taking C to a point equidistant r from A and B without acceleration (G= Gravitational constant and only gravitational interaction between A, B and C is considered)

A ball is thrown from the ground with velocity u at an angle $$ \theta $$ with horizontal. The horizontal range of the ball on the ground is $$ R $$. If the coefficient of restitution is $$ e $$, then the horizontal range after the collision is

A body of mass $$5\ kg$$ explodes at rest into three fragments with masses in the ratio $$1:1:3$$. The fragments with equal masses fly in mutually perpendicular directions with speeds of $$21\ m/s$$. The velocity of heaviest fragment in $$m/s$$ will be 

A particle moves in a straight line and its speed depends on time as $$v=|2t-3|\cdot\int vdt$$ represents the distance traveled of the particle then find the displacement of the particle in $$5s$$