Test Details

Gravitation,Work and Energy

Feb 02, 8:05 PM

50 minutes

Feb 02, 8:55 PM

36.0 marks

MCQ

12 questions

Prakash Ojha

expert of tricky mathematics

Class Details

Maths

Mansi

Maths

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Question Text

Question 1 :
An elevator is designed to lift a load of $1000\ kg$ through $6$ floors of a building averaging $3.5\ m$ per floor in $6\ s$. Power of the elevator, neglecting other losses, will be:

Question 2 :
Power supplied to a particle of mass $2 \ kg$ varieswith time as$p=\cfrac{3}{2}t^{2} \ W$ . Here $t$ is in second. If velocity of particle at $t =0$ is $v= 0$. The velocity of particle at time $t = 2s$ will be :

Question 3 :
Two men with weights in the ratio $4 : 3$ run up a staircase in time in the ratio $12 : 11$. The ratio of power of the first to that of second is:

Question 4 :
Two bodies with masses $M_1$ and $M_2$ are initially at the rest and a distance $R$ apart. Then they move directly towards one another under the influence of their mutual gravitational attraction. What is the ratio of the distances traveled by $M_1$ to the distance traveled by $M_2$?

Question 5 :
The gravitational field due to a mass distribution is E=$\dfrac {K} {x^3}$ the x-direction. (K is a constant). Taking the gravitational potential to be zero at infinity, its value at the a distance x is:

Question 6 :
A particle of mass $m$ moves in a circular path of radius $r$ , under the action of force which delivers it constant power $p$ and increases its speed. The angular acceleration of particle at time $(t)$ is proportional

Question 7 :
A body weight $72\ N$ on the surface of the earth. What is the gravitational force acting on it due to the earth at a height equal to half the radius of the earth from the surface?

Question 8 :
A ball is thrown vertically upwards. The acceleration due to gravity:

Question 9 :
The radius of the moon is 1/4th the radius is $1.738 \times 10^8$ m. Calculate the mass of the earth. Calculate the value of g on the surface of the moon:

Question 10 :
A ball with a weight of 20 N is thrown vertically upward . What is the acceleration of the ball just as it reaches the top of its path ?

Question 11 :
Two boxes of negligible mass are placed $2$ metres apart on the surface of planet $X$, initially $15$ identical steel ball bearings are placed in each box. Which statement is most accurate if $10$ of the ball bearings are transferred from box $1$ to box $2$?<br>

Question 12 :
Two balls are dropped from the same height from places $A$ and $B$. The body at $B$ takes two seconds less to reach the ground at $B$ strikes the ground with a velocity greater than at $A$ by $10 m/s$. The product of the acceleration due to gravity at the two places $A$ and $B$ is:

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