Mechanics | Relativity Answers

The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity vo. The distance travelled by the particle in time t will be ?

A block of mass 100g attached to a spring of spring constant=100N/m lies on a frictionless floor at a distance of 5cm from the opp. wall. The block is moved to compress the string by 10cm and then released. Find the time period of the oscillations -

1. 0.2s

2. 0.1s

3. 0.15s

4. 0.132s

A bacteria of mass 2 × 10−24 kg is rotated in a centrifuge at an angular speed of 4p × 103 rad s−1.
It is situated at a distance of 5 cm from the axis of rotation. Calculate the effective value of g
relative to the rotating frame of reference and the net centrifugal force on the bacteria.

A stone is projected from a point on the ground so as to hit a bird on the top of a vertical pole of height h and then attain a max. height 2h above the ground . If at the instant of projection the bird flies away horizontally with a uniform speed and the stone hits the bird while descending , then ratio of speed of bird to the horizontal speed of the bird is ?

A body starts from rest with an acceleration a1. After 2 s another body B starts from rest with an acceleration a2. If they travel equal distances in 5 s after the start of body A, the ratio of a1:a2 = ?

A BALL SUSPENDED BY A THREAD SWINGS IN A VERTICAL PLANE SO THAT IT'S ACCELERATION IN THE EXTREME POSITION AND LOWEST POSITION ARE EQUAL THE ANGLE θ OF THREAD DEFLECTION IN THE EXTREME POSITION WILL BE :
1. tan −1(2)
2. tan −1 (2)^1/2
3. tan −1 (1/2)
4. 2 tan −1 (1/2)

A WET OPEN UMBRELLA IS HELD VERTICAL AND IT IS WHIRLED ABOUT THE HANDLE AT A UNIFORM RATE OF 21 REV. IN 44s. IF THE RIM OF THE UMBRELLA IS A CIRCLE OF 1m IN DIAMETER AND THE HEIGHT OF THE RIM ABOVE THE FLOOR IS 4.9m. THE LOCUS OF THE DROP IS A CIRCLE OF RADIUS :
1. (2.5)^1/2 m
2. 1 m
3. 3 m
4. 1.5 m

A STONE OF MASS 1KG TIED TO A LIGHT INEXTENSIBLE STRING OF LENGTH = 10/3m , WHIRLING IN A CIRCULAR PATH IN A VERTICAL PLANE. THE RATIO OF MAX. TENSION IN THE STRING TO THE MIN. TENSION IN THE STRING IS 4. THE SPEED OF THE STONE AT THE HIGHEST POINT OF THE CIRCLE IS :
1. 10 m/s
2. 5(2)^1/2 m/s
3. 10(3)^1/3 m/s
4. 20 m/s

what is motion ?

Derive an expression relating impulse and linear movementum.in a safety test a car of mass 1000kg is driven into a brick wall.its bumper behaves like a spring (k=5×10^6Nm)and is compressed by a distance of 3cm as the car comes to rest .Determine the intial speed of car.