Acceleration

Q.

How do I convert $m/s$ to $km/h$? Give an example

Q.

A particle is thrown vertically upwards. Its velocity at half of the height is 10m/s, then the maximum height attained by it will be: (g = 10 m/s²).

1. 10 m

2. 20 m

3. 15 m

4. 25 m

Q.

A small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 sec. The maximum force acting on it is

1. 98.596 N

2. 985.96 N

3. 100.2 N

4. 76.23 N

Q.

A body of mass m accelerates uniformly from rest to $v_1$ in time $t_1$. As a function of time t, the instantaneous power delivered to the body is

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4. 

Q. A body starting from rest is moving under a constant acceleration up to 20 sec. If it moves S1 distance infirst 10 sec., and S2 distance in next 10 sec. then S2 will be equal to: (1) S1 (2) 2S1 (3) 3S1 (4) 4S

Q. 14.The motion of a body falling from rest in a resisting medium is described by the equation dv/dt=a–bv, a and b are constants. The velocity at any time t is

Q. 79.Derive first equation of motion by graphical method

Q. the velocity v of a particle moving along x axis varies with its position as v=asquare root x where a is a cons†an t which of the following graph represent the variation of its acceleration a with time i

Q. What is the moment of inertia of a wheel ?

Q. .Two cars A and B are approaching each other head-on with speeds 20 m/s and 10 m/s respectively.When their separation is X then A and B start braking at 4 m/s ^2and 2m/s^2 respectively. Minimumvalue of X to avoid collision is(1) 60 m(3) 80 m(2) 75 m(4) 90 m

Q. a wheel has angular acceleration of 3 rad/s2 and an initial angular speed of 2rad/s. in a time of 2s it has rotated through an angle of

Q.

A second pendulum is mounted in a space shuttle. Its period of oscillations will decrease when rocket is

1. moving up with uniform velocity

2. ascending up with uniform acceleration

3. descending down with uniform acceleration

4. moving in geostationary orbit

Q. 15. A particle moving with constant acceleration covers a distance of 30 m in the 3rd second. It covers a distance of 50m in the 5th second.What is the acceleration of the particle? A. 3 ms /2 B. 5 ms/ 2 C. 8 ms /2 D. 10 ms /2

Q. Equation of motion in the same direction is given by y1=Asin(wt-kx), y2=Asin(wt-kx-theta) The amplitude of the med particle will be

Q. 10. The engine of a car produces acceleration 4m/square second in the car. If this car pulls another car of same mass. What will be the acceleration produced.

Q. 23. The velocity (v) of a particle moving along x-axis varies with its position x as shown in figure. The acceleration (a) of particle varies with position (x) as s, its ht is (sju) en to .0 ()x (1) a2 = x + 3 (2) a 2x2 +4 (3) 2a 3x + 5 (4) a 4x- 8

Q.

A car is moving along a straight line. It's displacement (x) - time (t) graph is shown. Match the entries in column I with points on graph as in Column-II.

Column I

(p) x $\to$ negative, v $\to$ positive, a $\to$ positive (q) x $\to$ positive, v $\to$ negative, a $\to$ negative

(r) x $\to$ negative, v $\to$ negative, a $\to$ positive (s) x $\to$ positive, v $\to$ positive, a $\to$ negative.

Column II

1. (p - d) (q - b) (r - c) (s - a)

2. (p - b) (q - d) (r - c) (s - a)

3. (p - c) (q - a) (r - d) (s - b)

4. (p - a) (q - c) (r - b) (s - d)

Q.

A body of mass 100 g is sliding from an inclined plane of inclination ${30}^o$. What is the frictional force experienced if $\mu$=1.7

1. 

2. 

3. 

4. 

Q. 28.A flywheel of mass 50 kg and radius of gyration about its axis of rotation of 0.5m is acted upon by a constant torque of 12.5Nm . Its angular velocity at t=5sec is

Q. starting from rest , acceleration of particle is a =2(t-1). the velocity of particle at t=5 s is

Q. Ratio of angular speed of seconds hand to hourhand of a standard clock isS.0(4) 180(1) 12(2) 60 0w.s(3) 720

Q. 37A variable force, given by the 2-dimensional vector F= (3x^2i+4j), acts on a particle. The force is in newton and x is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates (2, 3) to (3, 0)? ( The coordinates are in metres.)(a) -7J(d) +19 J(c) +7J(b) zero

Q. 26.A body covers 10m in 4th s and 15m in 6th s of its uniformly accelerated motion. How far will it travel in the next 3 seconds

Q. a particle executes SHM with period of 4s. find minimum time interval in which the velocity of particle changes by an amount equal to its maximum velocity ?

Q. A stationary body of mass 3kg explodes into three equal piece . two of the piece fly off in perpendicular direction one with velocity 3i m/s and the other with velocityof 4j m/s . if the explosion occur in 0.0001, the average force acting on the third piece in newton is,

Q. 37.In uniform circular motion 1.magnitude of centripetal force remains constant 2.magnitude and direction of centripetal force remains constant . Which is true (with expanation).

Q. A thin uniform rod of mass 1 kg and length 0.3 mis smoothly hinged at one end. The rod is released from horizontal position and allowed to rotate invertical plane. The angular velocity of the rod when it becomes vertical is (g 10 m/s2)10(1) 5/3 rad/srad/s(2)3(4) 10/3 rad/s(3)/10 rad/s

Q. A motor car moving at a speed of 72 km/h can not come to stop in less than 3 sec while for a truck this time interval is 5 sec. On a highway the car is moving behind truck with the same speed 72 km/h. The truck gives a signal that it is going to stop at an emergency. At what dis†an ce the car should be from the truck so that it does not collide with truck ? Human response time is 0.5 sec

Q. three rods of each mass M and lenghth L are arranged in H shape.the moment of inertia about one side of H

Q. a balloon is moving up from ground in such a way that its acceleration is linearly decreasing with its height from above the ground. it start from the ground with acceleration 4m/s_2 and with zero initial velocity. its acceleration becomes zero at height 3m. the speed of balloon at a height 1.5 m is 1.4m/s 2.8m/s 3.6m/s 4.3m/s