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Important Questions on Locomotion and Movement

EASY
Two finite sets respectively have x and y number of elements. The total number of sub sets of the first is 56 more than the total no. of sub sets of the second. The value of x, y are respectively __________
EASY
Which of the following is an empty set?
EASY
The set of cubes of natural numbers is
HARD
Let a>0, a1. Then, the set S of all positive real numbers b satisfying 1+a21+b2=4ab is
EASY

The following Venn diagram indicates

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EASY
Let A={ 1,2,3,4,5,6,7,8,9,10 }. Then the number of subsets of A containing two or three elements is
EASY

In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls (i.e., when they are in contact).

(b) Total linear momentum? Give reason for your answer in each case.

EASY
A truck and a car are moving with same kinetic energy. Both are brought to rest by applying the same retarding force. S1 is the distance travelled by truck before coming to rest and S2 is the distance travelled by the car before coming to rest.
MEDIUM

A bullet of mass m fired at 30° to the horizontal leaves the barrel of the gun with a velocity v . The bullet hits a soft target at a height h above the ground while it is moving downward and emerges out with half the kinetic energy it had before hitting the target. Which of the following statements are correct in respect of bullet after it emerges out of the target?

MEDIUM
Suppose the average mass of raindrops is 3×10-5kg and their average terminal velocity 9ms-1. Calculate the energy transferred by rain to each square metre of the surface at a place which receives 100cm of rain in a year.
MEDIUM
An electron and a proton are detected in a cosmic ray experiment, the first with kinetic energy 10 keV, and the second with 100 keV. Which is faster, the electron or the proton? Obtain the ratio of their speeds. (electron mass = 9.11× 10-31 kg, proton mass = 1.67×10-27 kg, 1 eV = 1.60 ×10-19 J)
EASY
If a man speeds up by 1 ms-1, his KE increase by 44%. His original speed in ms-1 is
EASY
Two bodies A and B have masses 20 kg and 5 kg respectively. Each one is acted upon by a force of 4 kgf. If they acquire the same kinetic energy in time tA and tB respectively. Then the ratio of tAtB is
(Assume g=10 m s-2)
EASY
When an ideal gas is compressed adiabatically, temperature rises and the molecules on the average have more kinetic energy than before. The kinetic energy increases
EASY
A light and heavy body have equal kinetic energy. Which has greater momentum?
MEDIUM

In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls (i.e., when they are in contact).

(a) Kinetic energy.

Give reasons for your answer.

EASY
A machine, which is 75 % efficient, uses 12 J of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (in ms-1)
EASY
In a ballistics demonstration a police officer fires a bullet of mass 50 g with speed 200 ms-1 on soft plywood of thickness 2 cm. The bullet emerges with only 10% of its initial kinetic energy. The emergent speed of the bullet is
EASY
A bullet fired from a gun with a velocity of 104 m s-1 goes through a bag full of straw. If the bullet loses half of its kinetic energy in the bag, its velocity when it comes out of the bag will be
EASY
A running man has half the kinetic energy of a boy. Mass of man is double the mass of the boy. The man speeds up by 1.0 m s-1 and then he has same energy as the boy. The original speeds of the man and boy respectively are