Dear aspirant,

For finding the center of mass for two mass system we need to know the formulas which is( mass1*coordinate of x1) +(mass2*coordinate of X2)/ (mass1+mass2) and for y coordinate apply the same process which has been applied for finding x coordinate.

(B) Both A and R are true but R is not correct explanation of A

Acceleration decreases according to formula g′=g(1−R2h), where h is either height or depth and R is radius of earth. So, Acceleration due to gravity decreases as height or depth increases.

(A) Both A and R are true and R is the correct explanation of A

Sound waves are longitudinal in nature and light waves are transverse in character. Moreover light wave is electromagnetic in nature. That's why light waves do not need a material medium for its propagation. Moreover sound wave requires material medium for it's propagation.

Hello candidate,

1. The handle open the door is always provided at the age of a dog because if it is provided at the lock them then it would not be able to generate enough call in order to provide a rotational motion to the door in order to open it.

2. If two masses on moving with velocities V1 and V2, then the velocity of centre of mass is equal to m1V1 + m2V2/ (m2+M1).

3. Normal reaction refers to a equal and opposite for switch the body produces upon which the forces acting upon.

Hope this information helps you!!

Hello Candidate,

In the first question, a particle Executes SHM of amplitude A. It's Velocity will be maximum at the point of maximum displacement which is equal to +-A, velocity will be zero at the equilibrium point. The acceleration of the particle will be maximum at the equilibrium point will be zero at maximum displacement.

The mercury collects itself upon falling on a surface because of its high contact angle which is approximately equal to 135 degrees.

Hope This information helps you!!

Hi,

11km/s.

Escape speed of a body from Earth's surface is given by: vmin = 2gR. This expression is obtained by conservation of energy and doesn't involve in which direction the body is thrown/projected. So, irrespective of the angle of projection, escape speed of the body from Earth's surface remains constant i.e. ≈11 km/s

Hello candidate,

The maximum speed of a car on a level circular road of radius of curvature r, so that it can move without skidding is equal to v= √R* g* cos theta, where theta is angle of elevation. So, the maximum speed is independent of the mass of car.

In the second part of the question, force is divided in three components and the displacement is divided into two components, but no question has been mentioned this needs to be solved.

Hope it helps!!

Given, vec(A) =-2i+2j-k

vec(B )= 3i+6j+2k.

Now A cross B =

| i                j              k  |

| -2             2              -1|

| 3              6               2 |

=> A cross B = i(2*2-[-1*6])-j(-2*2-[-1*3])+k(-2*6-[2*3])

=> A cross B = 10i +j - 18k

I hope this answer helps. All the very best for your future endeavors!

Hello candidate,

Using the third equation of motion, that the square of final velocity is equal to the arithmetic sum of the square of initial velocity and 2 multiplied by the acceleration into the distance.

So, taking the initial velocity is equal to zero the expression becomes v^2= u^2+ 2*alpha*distance. So, the expression is perfectly correct.

Hope That this information helps you!!

Have a good day.

Dear aspirant,

The basic formula of work done by a force is equal to force into displacement but in vector it F.S cos theta. So if a force and displacement graph is given to you and so to find the work done by the force you need to find the area of the force displacement graph.