A shot is fired at 30^@ with the vertica...

A shot is fired at `30^@` with the vertical from a point on the ground with kinetic energy `K`. If air resistance is ignored, the kinetic energy at the top of the trajectory is

A

`3K/4`

B

`K/2`

C

K

D

`K/4`

Text Solution

Verified by Experts

The correct Answer is:

`(4)`

At projection, ` K = 1/2 mu^(2)`
At maximum height, `K^(1) = 1/2 mu^(2)cos^(2)theta`

Topper's Solved these Questions

WORK , ENERGY & POWER
NARAYNA|Exercise EXERCISE -II (C.W)|75 Videos
WORK , ENERGY & POWER
NARAYNA|Exercise EXERCISE -II (H.W)|75 Videos
WORK , ENERGY & POWER
NARAYNA|Exercise EXERCISE - 1 (C.W)|70 Videos
WAVES
NARAYNA|Exercise Exercise-IV|56 Videos
WORK POWER AND ENERGY
NARAYNA|Exercise Level-VI (Integer)|12 Videos

Similar Questions

Explore conceptually related problems

the kinetic energy of the air is

A projectile is fired with kinetic energy 1 kj. If its range is maximum, what will be its kinetic energy at the highest point of its trajectory ?

The kinetic energy of a 300 K thermal neutron is:

When an arrow is shot from a bow, it has kinetic energy. From where does it get the kinetic energy ?

A body projected at an angle theta to the horizontal with kinetic energy E_k . The potential energy at the highest point of the trajectory is

A particle is projected from the ground with a kinetic energy E at an angle of 60° with the horizontal. Its kinetic energy at the highest point of its motion will be

A particle is projected at 60 ^@ to the horizontal with kinetic energy K. Its kinetic energy at the highest point is :

A particle of mass m is projected at an angle with horizontal with kinetic energy E. the potential energy at the top of its trajectory is E/2 . Find the range.

A cricket ball is hit for a six the bat at an angle of 45^(@) to the horizontal with kinetic energy K. At the highest point, the kinetic energy of the ball is

NARAYNA-WORK , ENERGY & POWER -EXERCISE -1 (H.W)

A river of salty water is flowing with a velocity 2m//sec. If the dens...
Text Solution
|
If the kinetic energy of a body increases by 125%, the percentage incr...
Text Solution
|
A shot is fired at 30^@ with the vertical from a point on the ground w...
Text Solution
|
A body starts from rest and is acted on by a constant force. The ratio...
Text Solution
|
The mass of a simple pendulum bob is 100 gm. The length of the pendulu...
Text Solution
|
A body starts from rest and moves with uniform acceleration. What is t...
Text Solution
|
A liquid of specific gravity 0.8 is flowing in a pipe line with a spee...
Text Solution
|
A 60 kg boy lying on a surface of negliguble friction throws horizonta...
Text Solution
|
Two stones of masses m and 2 m are projected vertically upwards so as ...
Text Solution
|
A neutron, one of the constituents of a nucleus, is found to pass two ...
Text Solution
|
A tank of size 10 m xx 10 m xx 10 m is full of water and built on the ...
Text Solution
|
A bob of mass 0.3 kg falls from the ceiling of an elevator moving down...
Text Solution
|
A spring of force constant K is cut in two parts at its one third leng...
Text Solution
|
A spring when compressed by 4 cm has 2 J energy stored in it. The forc...
Text Solution
|
The elastic potential enegry of a stretched spring is given by E = 50 ...
Text Solution
|
A body of mass 2 kg is projected with an initial velocity of 5 ms^(-1)...
Text Solution
|
An object is acted on by a retarding force of 10 N and at a particular...
Text Solution
|
By applying the brakes without causing skid, the driver of a car is ab...
Text Solution
|
A bullet fired into a trunk of a tree loses 1//4 of its kinetic energy...
Text Solution
|
A cradle is 'h' meters above the ground at the lowest position and 'H'...
Text Solution
|