If a cycle wheel of radius 4 m completes one revolution in two seconds. Then acceleration of the cycle will be
A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stone
If the speed of revolution of a particle on the circumference of a circle and the speed gained in falling through a distance equal to half the radius are equal, then the centripetal acceleration will be
Two cars going round curve with speeds one at 90 km/h and other at 15 km/h. Each car experiences same acceleration. The radii of curves are in the ratio of
A wheel of radius 0.20m is accelerated from rest with an angular acceleration of 1rad/s² . After a rotation of 90° the radial acceleration of a particle on its rim will be
A ball of mass 0.1 kg is whirled in a horizontal circle of radius 1 m by means of a string at an initial speed of 10 r.p.m. Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. The new speed is
A proton of mass 1.6 × 10–27kg goes round in a circular orbit of radius 0.10 m under a centripetal force of 4 × 10–13 then the frequency of revolution of the proton is about
A particle does uniform circular motion in a horizontal plane. The radius of the circle is 20 cm. The centripetal force acting on the particle is 10 N. It’s kinetic energy is
The radius of curvature of a road at a certain turn is 50m . The width of the road is 10m and its outer edge is 1.5m higher than the inner edge. The safe speed for such an inclination will be
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle θ with the vertical
A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolutions per minute. The total tension in the string when the stone is at its lowest point is
A string of length 1m is fixed at one end and a mass of 100gm is attached at the other end. The string makes 2/π rev/sec around a vertical axis through the fixed point. The angle of inclination of the string with the vertical is (g=10m/s²)
A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2 ms-2. He reaches the ground with a speed 3 ms-1. At which height did he bail out?
The first stage of the rocket launches a satellite to a height of 50 km and velocity attained is 6000 kmh-1 at which point its fuel exhausted. How high the rocket will reach?
A man riding on a flat car moving with 10 ms-1. He attempts to throw a ball through a stationary hoop 5 m above his hand such that the ball moves horizontally through the hoop. He throws the ball with 12 ms-1 with respect to himself. Find the horizontal distance from where he throws the ball
A body standing on a long railroad car throws a ball straight upwards, the car is moving on the horizontal road with an acceleration 1 ms-2. The vertical velocity given is 9.8 ms-1. How far behind the body the ball will fall on the railroad car?
A person is standing on a truck moving with 14.7 ms-1 on a horizontal road. He throws a ball so that it returns to him when the truck has moved 58.8 m. Find the speed of the ball and angle of projection as seen by a man standing on the road
An elevator is moving with 2.5 ms-1. A bolt in the elevator ceiling 3 m above the elevator falls. How long does it take for the bolt to fall on the floor of elevator?
A boy can throw a stone to maximum height of 50 m. To what maximum range can he throw this stone and to what height so that the maximum range is maintained?
A vehicle moves west with a speed of 50 ms-1 and then towards north with a speed of 50 ms-1 Total time taken by the body is 5s. What is the average acceleration of the body?
A ball is thrown from the ground to clear a wall 3 m high at a distance of 6 m and falls 18 m away from the wall, the angle of projection of ball is
A balloonist is ascending at a velocity of 12 ms-1 and acceleration 2 ms-2. A packet is dropped from it when it is at a height of 65 m from the ground, it drops a packet. Time taken by the packet to reach the ground is
A girl standing on a pedstal at rest throws a ball upwards with maximum possible speed of 50 ms-1. If the platform starts moving up at 5 ms-1 and the girl again throws the similar ball in similar way. The time taken in the previous case and the lime taken in the second case to return to her hands are
An aeroplane drops a parachutist. After covering a distance of 40 m, he opens the parachute and retards at 2 ms-2. If he reaches the ground with a speed of 2 m-1, he remains in the air for about
What is the maximum range that a ball thrown with a speed of 40 ms-1 can cover without hitting the 25 m high ceiling of a long hall?
