The half life of a neutron is 800 sec. 10 neutrons at a certain instant are projected from one space station towards another space station, situated 3200 km away, with a velocity 2000 m/s. Their velocity remains constant during the journey. No. of neutrons reaching the other station is n `5* 10^6` n=?

A thin uniform bar lies on a frictionless horizonta surface and is free to move in any way on th surface. Its mass is 0.16 kg and length sqrt3 meters. Two particless, each of mass 0.08 kg, are moving on the same surface and towards the bar in a direction perpendicular to the bar, one with a velocity of 10 m/s, and other with 6m/s as shown in fig. The first particle strikes the bar at point A and the other at point B. Points A and B are at a distane of 0.5m from the centre of the bar. The particles strike the bar at the same instant of time and stick to the bar on collision. Calculate the loss of the kinetic energy of the system in the above collision process.

A thin uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. Its mass is 0.16 kg and lengths is sqrt(3)m . Two particles, each of mass 0.08 kg , are moving on the same surface and towards the bar in a direction perpendicular to the bar, one with a velocity of 10 ms^(-1) and the other with 6ms^(-1) , as shown in fig. The first particle strikes the bar at point A and the other at point B. Points A and B are at a distance 0.5 m from the centre of the bar. The particles strike the bar at same instant of time and stick to the bar on collision. Calculate the loss of kinetic energy of the system in the above collision process.

A ball of mass of 1 kg and charge 50 mu C is directly projected from infinity toward another fixed ball of charge 1//6 mu C ( as shown in Fig. 24-5). The initial velocity of projection is 10 m/s. Find the distance and its velocity at the closest separation. Assume that the initial line of motion is at a distance of 1 m from the second fixed charge.

A very large, charged plate floats in deep space. Due to the charge on the plate, a constant electric field E exists everry above the plate. An object with mass m and charge q is shot upward from the plate with a velocity v and at an angle theta . It follows the path shown reaching a height h and a ramge R. Assume the effects of gravity to be negligible. Suppose E is 10 N//C , m is 1 kg, q is -1C , v is 100 m//s and theta is 30^(@) . What is h?

A train starting from one station accelerates uniformly over a distance of 0.5 km , moves with a constant speed over 35 km , retards uniformly over the last 10 km coming to a stop at another station 50 km away from the first station. Draw velocity distance graph of the train.

Two particles, one of mass m and the other of mass 2m, are projected horizontally towards each other from the same level above the ground with velocities 10 m/s and 5 m/s, respectively. They collide in air and stick to each other. The distance of the combined mass from point A is

In a TV pictgure tubeelectrons re ejected from the cathode with negligible speed and reach a velocity of 5x10^6 m/s in travelling one centimeter. Assuming straight line motion, find the constant force exerted on the electron. The mass of the electron is 9.1xx10^-31 kg.