Horizontal and Vertical Components of Projectile Motion

Q.

A body of mass 2 kg moving on a horizontal surface with an initial velocity of 4 m/sec comes to rest after 2 sec. If one wants to keep this body moving on the same surface with a velocity of 4 m/sec, the force required is

1. 2 N

2. 4 N

3. 8 N

4. Zero

Q. The rate of mass of the gas emitted from rear of a rocket is initially 20kgs. If the speed of the gas relative to the rocket is 800m/s and mass of rocket is 1000kg, then the initial acceleration of the rocket is

Q.

A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be

1. A straight line

2. An arc of a circle

3. A parabola

4. An ellipse

Q. a projectile is fired from the surface of earth with a velocity of 3m/s and angle a withthe horizontal another projectile fired from another planetwith a velocity 5m/s at the same angle follows a trajectory which is identical with the trajectory of the projectile fired fromthe earth the value of the accelaration due to gravity on theplanet

Q. Acceleration of a body is given by a=(4-3v) m/s^{2^{}}. Speed v is in m/s and t is in second. If initial velocity is zero then terminal velocity of body is

Q. the velocity v of a body moving along a straight line varies with time t as v=2t^2e^{-t}, where v is in m/s and t is in second. the acceleration of body is zero at t

Q. A particle is moving in xy plane in circular path with centre at origin if at an ins†an t the position of particle is given by 1/\sqrt2 (i+j) then velocity of particle i along

Q. 74.The acceleration of a particle moving along a straight line at any time t is given by a=4-2v , where v is speed of particle at any time t. The maximum velocity is a)4m/s b)2m/s c)6m/s d) infinity

Q. If the kinetic energy of an oblique projectile at its maximum height is half of its initial kinetic energy then the angle of throw with the vertical is

Q. The velocity of a particle moving in straight line depends on its position x as v=3sin[x+pie/2]m/s. The acceleration of the particle at x=pie/4 m, will be_?? how -9/2 come?

Q. The potential energy of the particle of mass 2 kg moving along the x-axis is given by U(x)=4x^2-2x^3 (where U is in joules and x is in meters). The kinetic energy of the particle is maximum at (1) x=0 (2) x=1 m (3) x= 4/3 m (4) x= 2 m

Q. ntQ.A body is thrown vertically upward with velocity u. the distance travelled by it in the 7th & 8th second are equal. the displacement in 8th second is equal to (take g=10m/sn ntn

Q. velocity of a particle moving on x axis is v = x^2 + x. find acceleration when x = 2

Q. Two balls of mass 4kg and 2kg are moving with speed 10m/s and 8m/s respectively with ball of heavier mass behind the lighter ball. The two balls collide each other elastically. Find the maximum potential energy stored in the system of two balls during collision

Q. A particle is released from height H.At certain height its kinetic energy is two times its potential energy, height of the particle from ground at that ins†an t is:

Q. 6.At any instant, the velocity and acceleration of a particle moving along a straight line are v and a. The speedof the particle is increasing if(1) v 0, a> 0(2) V< 0, a>0(3) v>0, a0

Q. an object is subjected to retardation dv/dt=5rootv.which has initial velocity of 4 m/s.the time taken by object to come to rest would be

Q. A ball moving with velocity i collides with a stationary wall and returns with a velocity i/2. Thecoefficient of restitution for this collision is 1/K. Find the value of K.

Q.

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta$ should be

1. 

2. 

3. 

4. 

Q.

At time t = 0, apple 1 is dropped from a bridge onto a roadway beneath the bridge; somewhat later, apple 2 is thrown down from the same height. Figure below gives the vertical position, y of the apples versus t, time of the falling, until both apples have hit the roadway. The scaling is set by $t_s$= 2.0 s. With approximately what speed was apple 2 thrown down?

1. 15 m/s

2. 20 m/s

3. 25 m/s

4. 10 m/s

Q. 39. If a particle is moving along a straight line and itsvelocity varies with time as v 2t -2 (v and t arein St units) then choose the incorrect option.(1) Average velocity from t0 toism/s12(2) Acceleration is zero at t 1s(3) Acceleration is 2 m/s? at t o(4) Average speed from t0 to t 2 s is mis4

Q. 80-What is concept of Apogee and Perigee in ravitation find ratio of their kinetic energy.

Q.

Which of the following doesn't use the application of Conservation of Angular Momentum?

1. Cat landing gently on feet

2. A skater performing a fast spin

3. A diver performing somersaults while diving

4. Fruit falling off the tree

Q. 5. A body is projected which speed 20m/s at an angle of 37 degree of an horizontal calculate the height of projectile at t=1 sec?

Q. A projectile is thrown from the ground has horizontal range R. If velocity at highest point is doubled somehow the new range will be (1) 3 R (2) 1.5 R (3) \surd3 R (4) 2 R

Q. The distance (x) covered by a particle moving on a straight line path at any instant is given by t=ax^2+bx. If the instantaneous velocity of the particle be v. What is the acceleration of the particle? 1)2av^3 2)-2av^3 3)2av^2 4)-2av^2

Q. If a particle is projected at t=0 from ground with speed u= 20 m/s at an angle of 45^° from horizontal then find the ratio of time of flight to the time interval in which velocity of particle becomes perpendicular to initial velocity of projection -

Q. A particle is moving in xy plane with velocity, = \vert(3- 4t) i+ (4+3t)j m/s.Rate of change of speed of particle at t 0, is

Q. Maximum kinetic energy of a particle of mass 1kg in SHM is 8J. Time period of SHM is 4s. Maximum potential energy during the motion is 10J. Then a) amplitude of oscillations is approximately 2.53m. b) minimum potential energy is 2J. c) maximum acceleration of the particle is approximately 6.3 m/s^2 d) minimum kinetic energy of the particle is 2J Maximum K.E = Max P.E = T.E right? Then how can they have different values?

Q.

Two stones are thrown up simultaneously from the edge of a cliff 240 m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first? (Assume stones do not rebound after hitting the ground and neglect air resistance, take g = 10 m/s²).

(The figures are schematic and not drawn to scale)

1. 

2. 

3. 

4.