A fighter plane flying horizontally at an altitude of 1.5 km with speed `720 km//h` passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed `600 m s^-1` to hit the plane ? At what minimum altitude should the pilot fly the plane to avoid being hit ? (Take g = `10 ms^2`).

A fighter plane is flying horizontally at an altitude of 1.5 km with speed 720 km//h.At what angle of sightb (w.r.t.horizontal),when the target is seen,should the pilot drop the bomb in order to attack the target?

A police van moving on a highway with a speed of 30 km h^-1 fires a bullet at a thiefs car speeding away in the same direction with a speed of 192 km h^-1 . If the muzzle speed of the bullet is 150 m s^-1 with what speed does the bullet hit the thiefs car ? (Note: Obtain that speed which is relevant for damaging the thief s car).

A stream of water flowing horizontally with a speed of 15m s^-1 gushes out of a tube of cross-sectional area 10^-2 m^2 , and hits a vertical wall nearby. What is the force exerted on the wall by the impact of water, assuming it does not rebound ?

A jet plane is travelling towards west at a speed of 1800 km//h . What is the voltage difference developed between the ends of the wing 25 m long, If the Earth’s magnetic field at the location has a magnitude of 5 xx 10^-4T and the dip angle is 30^@ .

A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 m s^-1 , at right angles to the horizontal component of the earth’s magnetic field, 0.30 xx 10^-4 Wb m^-2 , What is the instantaneous value of the emf induced in the wire?

A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 m s^-1 , at right angles to the horizontal component of the earth’s magnetic field, 0.30 xx 10^-4 Wb m^-2 , What is the direction of the emf?

A particle of mass 150 g is attached to one end of a massless inextensible string It is made to describe a vertical circle of radius 1 m When the string is making an angle of 48.2^(@) with the vertical , its instantaneous speed is 2 m//s What is the tension in the string in this position ? Would this particle be able to complte its circular path?(Take g=10 m s^(-2) ).

A current of 10 A flow around a closed path in a circuit which is in the horizontal plane as shown in the figure. The circuit consists of eight alternative arcs of radii r_(1)=0.08m and r_(2)=0.12m . Each subtends the same angle at the centre. An infinitely long straight wire carrying a current of 10 A is passing throgh the entre of the above circuit vertically with the direction of the current being into the plane of the circuit. What is the force acting on the wire at the centre due to the current in the circuit? What is the force acting on the arc AC and the straight segment CD due to the current at the centre?