A car driver going at speed `v` suddenly finds a wide wall at a distance `r` . Should he apply breakes or turn the car in a circle of radius `r` to avoid hitting the wall.

A car is moving with a velocity of 10 m/s. Suddenly driver sees a child at a distance of 30 m and he applies the brakes, it produced a uniform retardation in car and car stops in 5 second. Find (mass of car=1000 kg) the stopping distance of car will the car hit the child the retardation in car resistive force on car

The driver of a bus travelling with a speed 'v' suddenly observes a wall in front of his bus at a distance 'a'. Father of this driver, who was also a driver, had advised him to take circular turn to avoid hitting in such a situation. However, the driver in question decides otherwise by using his own wisdom. He applies brakes as hard as possible without taking a circular turn, then :

A car is moving along a banked road laid out as a circle of radius r . (a) What should be the banking angle theta so that the car travelling at speed v needs no frictional force from tyres to negotiate the turn ? (b) The coefficient of friction between tyres and road are mu_(s) = 0.9 and mu_(k) = 0.8 . At what maximum speed can a car enter the curve without sliding toward the top edge of the banked turn ?

When a driver of Shatabdi Express, running with velocity 108 km/hr, sights a goods train going ahead of him at a distance 50 m in the same direction on the same track, running with velocity 72 km/hr, he applies brakes. In order to avoid an accident, what should be the magnitude of the deceleration produced by the brakes?

A satellite of mass m is in an elliptical orbit around the earth of mass M(M gt gt m) the speed of the satellite at its nearest point ot the earth (perigee) is sqrt((6GM)/(5R)) where R= its closest distance to the earth it is desired to transfer this satellite into a circular orbit around the earth of radius equal its largest distance from the earth. Find the increase in its speed to be imparted at the apogee (farthest point on the elliptical orbit).

A person driving a car suddenly applies the brakes on seeing a child on the road ahead. If he is not wearing seat belt, he falls forward and hits his head against the steering wheel. Why

A particle of mass m is made to move with uniform speed v_(0) along the perimerter of a regular hexagon. Inscribed in a circle of radius. R. The magnitude of impulse applied at each corner of the hexagon is :-

Spacemen Fred's spaceship (which has negligible mass) is in an elliptical orbit about planet Bob. The minimum distance between the spaceship and the planet is R, the maximum distance between the spaceship and the planet is 2R. At the point of maximum distance, spaceman fred is traveling at speed v_(0) . he then fires his thrusters so that he enters a circular orbit of radius 2R. what is his new speed?

A motor car moving at a speed of 72 km/h cannot come to a stop in less than 3.0 s while for a truck this time interval is 5.0 s. On a highway, the car is behind the truck both moving at 72 km/h. The truck gives a signal that it is going to stop at emergency. At what distance the car should be from the truck so that it does not bump onto (collide with) the truck. Human response time is 0.5 s.

Consider a conical pendulum having bob is mass m is suspended from a ceiling through a string of length L. The bob moves in a horizontal circle of radius r. Find (a) the angular speed of the bob and (b) the tension in the string.