A short fired at a moving train (u=30 km...

A short fired at a moving train (u=30 km/h) at an angle ` theta=` arc sin1/5 with the track enters a compartment of dimension `axxb=12mxx14m` through a corner away form the engine and passes out through the diagonally opposite corner. Calculate the speed of the shot.

Text Solution

Verified by Experts

The correct Answer is:

`(bu)/(b cos theta- a sin theta )=`79 kmph

Topper's Solved these Questions

COMPOSITION AND RESOLUTION OF VELOCITIES
NN GHOSH|Exercise Exercise|25 Videos
CENTRIPITAL AND CENTRIFUGAL FORCES
NN GHOSH|Exercise Exercises (B)|36 Videos
CONDUCTION OF HEAT AND RADIATION
NN GHOSH|Exercise All Questions|24 Videos

Similar Questions

Explore conceptually related problems

A railway compartments is 16 m long, 2.4 m wide and 3.2 m high. It is moving with a velocity v A particle moving horizontally with a speed u perpendicular to the direction of v enters through a hole at an upper corner A and strikes the diagonally opposite corner B .Assume g=10 m//s^(2) .

A railway compartment is 16m long, 2.4 m wide and 3.2 m high. It is moving with a velocity v. A particle moving horizontally with a speed u, perpendicular to the direction of v, enters through a hole at an upper corner A and strikes the diagonally opposite corner B. Assume g = 10 m//s^(2) .

A shot fired from a gun with a speed of v at an angle theta strikes an object at a point P on the horizontal plane through the point of projection.If the object at P starts moving away from the gun with uniform acceleration a the moment the gun is fired, then the elevation is to be changed to phi in order to strike the moving object. If (g)/(a)=((1-cos n phi)/(sin n phi-sin n theta)) .find n.

A wooden boxcar is moving along a straight railroad track at speed v_1 . A bullet (initial speed v_2 ) is fired at it from a high - powered rifle . The bullet passes through both lengthwise walls of the car , its entrance and exit holes being exactly opposite each other is viewed from within the car . from what direction , relative to the track . is the bullet fired? Assume that the bullet is not deflected upon entering the car, but that its speed decreases by 20%. Take v_1 85 km/h and v_2 650 m/s. (Why is the width of the boxcar not relevant in this calculation?)

In a particular double star system two stars of mass 3.22xx10^(30) kg each revolve about their common centre of mass 1.12xx10^(11) on away. (i). Calculate their common period of revolution, in years (ii). Suppose that a meteoroid (small solid particle in space) passes through this centre of mass moving at right angles to the orbital plane of the stars. What must its speed be if it is to escape from the gravitational field of the double star?

NN GHOSH-COMPOSITION AND RESOLUTION OF VELOCITIES-Exercise

A river is (1)/(2)km wide and flows at the rate of 3 kmph. A man, who ...
Text Solution
|
To a man walking at 5kmph rain appears to fall vertically, and when he...
Text Solution
|
A ship is travelling due east at 10 km/h. A ship heading 30^(@) east o...
Text Solution
|
A motorboat going downstream overcome a raft at a point A, tau=60min l...
Text Solution
|
A man walking on a road with a velocity of 5 km per hour encounters ra...
Text Solution
|
If the resultant of two forces of magnitudes p and 2p is perpendicular...
Text Solution
|
Two cars are moving in the same direction with the same speed 30 km//h...
Text Solution
|
A man wants to cross a river 500 m wide. His rowing speed in still wat...
Text Solution
|
Find the speed of two objects if ,when they move uniformly towards eac...
Text Solution
|
The resultant of two forces of magnitude 5 N and 3 N trisects the angl...
Text Solution
|
Two bodies were thrown simultaneously from the same point, one, straig...
Text Solution
|
Two particles, 1 and 2, move with constant velocities v1 and v2 along ...
Text Solution
|
An aeroplane has to go from a point O to another point A, at distance ...
Text Solution
|
Two boats A and B moved away from a boy anchored in the middle of a ri...
Text Solution
|
A boat moves relative to water with a velocity which is n=2.0 times le...
Text Solution
|
A car window pane of length 25 cm is hinged at the top and 5 cm of its...
Text Solution
|
On a two lane road , car (A) is travelling with a speed of 36 km h^(-...
Text Solution
|
A train of length l=350m starts moving rectilinearly with constant ac...
Text Solution
|
A short fired at a moving train (u=30 km/h) at an angle theta= arc si...
Text Solution
|
The velocity of water current in a river changes with distance along t...
Text Solution
|