A stone is thrown in such a manner that it would

Question

A stone is thrown in such a manner that it would just hit a bird at the top of a tree and afterwards reach a maximum height double that of the tree. If at the moment of throwing the stone the bird flies away horizontally with constant velocity ant the stone hits the bird after some time. The ratio of horizontal velocity of stone to that of the bird is 1/n +1/√n. Find 2n.

Arun · Accepted Answer

Dear Mithun For the stone: uy = vertical speed ux = horizontal speedLet the height of the tree = h max height reached = 2h=> uy^2 = 2 (2h) g = 4 h g --- (1)Let the speed of the bird be v.The stone and bird meet at height y = h, two times t1 and t2.y =uy t - 1/2 g t² => h = 2√(hg) t - 1/2 g t²=> t1 = √(2h/g) * [√2 - 1] t2 = √(2 h/g) * [√2 + 1 ]at t = t1, the stone travels a distance = ux * t1at t = t2, the stone travels a distance = ux * t2 = ux * t1 + v * t2so ux / v = t2/(t2 - t1) = (√2 + 1)/2 = 1/√2 + 1/2So n = 2 and 2n = 4 RegardsArun

Modern Physics> A stone is thrown in such a manner that i...

Mithun , 6 Years ago

Arun

LIVE ONLINE CLASSES

A particle is projected in vertical plane such that after 5 seconds its velocity becomes horizontal. The maximum height attained by the projectile from point of projection is n3 m. The value of n is _______. (g = 10 m/s2)

modern physics

Two particles approach each other from very large distance as shown, . if the least separation between the particles is b, what is the speed of M in center of mass frame when particles are closest? (gravity negligible)

modern physics

Can the sum of two equal vectors be equal to either vector

modern physics

A nucleus X¹⁸⁴ at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is

modern physics

SUBJECT: PROBLEM BASED ON LINE DETECTION.
Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.

modern physics

Modern Physics> A stone is thrown in such a manner that i...

Mithun , 6 Years ago

Arun

LIVE ONLINE CLASSES

Other Related Questions on modern physics

A particle is projected in vertical plane such that after 5 seconds its velocity becomes horizontal. The maximum height attained by the projectile from point of projection is n3 m. The value of n is _______. (g = 10 m/s2)

modern physics

Two particles approach each other from very large distance as shown, . if the least separation between the particles is b, what is the speed of M in center of mass frame when particles are closest? (gravity negligible)

modern physics

Can the sum of two equal vectors be equal to either vector

modern physics

A nucleus X184 at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is

modern physics

SUBJECT: PROBLEM BASED ON LINE DETECTION.Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.

modern physics

A nucleus X¹⁸⁴ at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is

SUBJECT: PROBLEM BASED ON LINE DETECTION.
Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.