Summary for Maximum Range and the Dominating Component

Q. 5. A particle of mass M1 makes an elastic, one-dimensional collision with a stationary particle of mass M2. what fraction of kinetic energy of M1 is carried away by M2 ? (A) M!/M2, (B) M2/M1 (C) 2M1M2/(M1+M2)sq. (D) 4M1M2/(M1+M2)sq.

Q.

Is momentum conserved with gravity?

Q. a body of mass 1kg travels in a straight line with velocity V is equal to beta x^{3/2} , Beta is equals to 5 M^{-1/2} s^{-1}. the work done by the net force during displacement from x=0 to x=3 is

Q. 19 A body of mass (4m) is lying in x-y plane at rest. Itsuddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each otherwith equal speeds (v). The total kinetic energygenerated due to explosion is\lbrack AIPMT-2014\rbrack3(1) mv 2(2)mv 22(3) 2mv2(4) 4mv2n Auniform force of 3tinewton noto

Q. if m^{0 }and m are rest mass and moving mass of a body, then its kineyic energy is

Q. particles A and B of masses m eacha re separated by a dis†an ce r .another aprticle C of mass M is placed at midpoint of A and B .find work done in taking C to a point equidis†an t r from A and B without acceleration 1.GMm/r 2.2GMm/r 3.3GMm/r 4.4GMm/r

Q.

Two particles are projected from the ground simultaneously with speeds $20m/s$ and $20m/s$ at angles ${30}^{\circ }$ and ${60}^{\circ }$ with the horizontal in the same direction. The maximum distance between them till both of them strike the ground is approximately ($g$ = $10m/s^2$)

1. 16.4 m

2. 23.1 m

3. 30.2 m

4. 10.4 m

Q. A block of mass 10 Kg is moving in x direction with a cons†an t speed of 10 m/s it is subjected to a retarding force F=-0.1x joule/metre during its travel from x=20 metre to x=30 metre its final kinetic energy will be

Q. 77. A small particle of mass m is projected at an angle alpha with x axis with initial velocity v in x y plane . Just before time 2vsin alpha /g the angular momentum of the particle about the point of the projection is

Q. 13.A body is of mass 10 kg. It moves inXY plane starting from rest. Its potentialenergy is given by U = -16x + 12y(x and y are in metre). The speed of thebody at t 5 s is-1

Q. A body of mass 3 kg is projected from ground at an angle of 30^° with horizontal on a level ground at a speed of 50m/s. The magnitude of change in momentum of body during its 1/3 rd of time of flight is-

Q. A particle of mass m moving with a speed v hits another stationary particle of mass 2m with e=1/3 on a smooth horizontal circular tube of radius r. The time in which the next collision will take place is equal to?

Q. A projectile is to be launched at an angle ${45}^{\circ }$ so that it falls beyond the pond of length $13.6$ $\text{m}$ as shown in the figure and distance between both the points $O$ to $P$ and $M$ to $N$ is $6$ $\text{m}$. What is the range of values of initial velocity (in $m/s$) so that the projectile falls between points $M$ and $N$.

1. $15<u<16$
2. $14<u<16$
3. $13<u<16$
4. $13<u<14$

Q.

Two particles are projected from the ground simultaneously with speeds $20m/s$ and $\frac{20}{\sqrt{3}}m/s$at angles ${30}^{\circ }$ and ${60}^{\circ }$ with the horizontal in the same direction. The maximum distance between them till both of them strike the ground is approximately ($g$ = $10m/s^2$)

1. 23.1 m

2. 16.4 m

3. 30.2 m

4. 10.4 m

Q. A projectile is to be launched at an angle ${45}^{\circ }$ so that it falls beyond the pond of length $13.6$ $\text{m}$ as shown in the figure and distance between both the points $O$ to $P$ and $M$ to $N$ is $6$ $\text{m}$. What is the range of values of initial velocity (in $m/s$) so that the projectile falls between points $M$ and $N$.

1. $15<u<16$
2. $14<u<16$
3. $13<u<16$
4. $13<u<14$

Q.

In the motion of a projectile freely under gravity, its

1. Total energy is conserved

2. Momentum is conserved

3. Energy and momentum both are conserved

4. None is conserved