Home
Class 11
PHYSICS
A ball leaves the track at B which is at...

A ball leaves the track at `B` which is at `3m` height from bottom most point of the track. The ball further rises upto `4m` height from the bottom most point before falling down. Find `h` (in `m`), if the track at `B` makes an angle `30^@` with horizontal.
.

Text Solution

Verified by Experts

The correct Answer is:
`7`
`h_(0)=3+(u_(B)^(2) sin^(2)theta)/(2g)=3+(2g(h-h_(B))sin^(2)30^@)/(2g)`
`4(given)=3+h sin^(2) 30^@ -h_(B) sin^(2) 30^@`
=`3+(h)/(4)-(3)/(4) ,(7)/(4)=(h)/(4) rArr h = 7 m`.
Promotional Banner

Topper's Solved these Questions

  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level-VI (Comprehension)|20 Videos

  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE IV|43 Videos

Similar Questions

Explore conceptually related problems

A ball falls from a height of 10 m. On rebounding, it loses 30% energy. The ball goes upto a height of

A particle (m = 2 kg) slides down a smooth track AOC starting from rest at point A (height = 5m). After reaching point C (height =1m), the particle continues to move freely in air as a projectile. The particle velocity at point C is at angle 60^(@) with the horizontal. The maximum height attained by particle after leaving point C is _____(in m). [figure drawn is schematic and hot to scale : take =ms^(-2) ]

A ball rolls down an inclined trck 2 m long in 4s. Find speed of the ball at the bottom of the track.

A ball is thrown horizontally from the top of a tower 40 m high. The ball strikes the ground at a point 80 m from the bottom of the tower. Find the angle that the velocity vector makes with the horizontal just before the ball hits the gound.

A body of mass 10kg is at height of 10m at point A as shown on a smooth track. Find speed at B.

A ball thrown down the incline strikes at a point on the incline 25m below the horizontal as shown in the figure. If the ball rises to a maximum height of 20m above the point of projection, the angle of projection alpha (with horizontal x axis) is

A block of mass m is released along a smooth track shown in figure from its top point. Find the word done by gravity during its downward motion to the bottom of track.

A ball is thrown from a point O aiming a target at angle 30^(@) with the horizontal so that the ball hits the target at B but the ball hits at point A, a vertical distance h below B. If the intial velocity of the ball is 20 ms^(-1) and the horizontal distance between O and C is 10 m. Find the value of h.

A ball is dropped from the top of a building of height 80 m. At same instant another ball is thrown upwards with speed 50 m/s from the bottom of the building. The time at which balls will meet is

Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.

Knowledge Check

  • A ball falls from a height of 10 m. On rebounding, it loses 30% energy. The ball goes upto a height of

    A
    5 m
    B
    7 m
    C
    6 m
    D
    8 m

  • A ball is thrown horizontally from the top of a tower 40 m high. The ball strikes the ground at a point 80 m from the bottom of the tower. Find the angle that the velocity vector makes with the horizontal just before the ball hits the gound.

    A
    `45^(@)`
    B
    `90^(@)`
    C
    `37^(@)`
    D
    `53^(@)`

  • A ball thrown down the incline strikes at a point on the incline 25m below the horizontal as shown in the figure. If the ball rises to a maximum height of 20m above the point of projection, the angle of projection alpha (with horizontal x axis) is

    A
    `tan^(-1)(4/3)`
    B
    `tan^(-1)(3/4)`
    C
    `tan^(-1)(3/2)`
    D
    `tan^(-1)(2/3)`