Two stones are thrown up simultaneously with their initial velocities

Asked by admin @ 03/08/2021 in Physics viewed by 268 People

Two stones are thrown vertically upwards simultaneously with their initial velocities u1 and u2 respectively . Prove that the heights reached by them would be in the ratio of u1² :u2² .

Answered by admin @ 03/08/2021

Given, initial velocities: u₁ and u₂
g=acceleration due to gravity, here it is (-g), as the object is thrown vertically upwards
Let Final velocities: v₁ and v₂
Now, we know that,
$s= \frac{v^2-u^2}{2g}$
For object 1:
$s_1= \frac{v_1^2-u_1^2}{-2g}$
Putting v=0
$s_1= \frac{-u_1^2}{-2g}= \frac{u_1^2}{2g}$ ..................(i)
Similarly for object 2:
$s_2= \frac{u_2^2}{2g}$ ......................(ii)
Divide (i) by (ii)
$\frac{s_1}{s_2} = \frac{ (\frac{u_1^2}{2g} )}{ (\frac{u_2^2}{2g}) }$
Therefore,
$\frac{s_1}{s_2}= \frac{u_1^2}{u_2^2} \ or \ u_1^2:u_2^2$
Hence Proved

A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is

Asked by maham237 @ 13/01/2021 in Physics viewed by 1200 persons

Mind map for light reflection and refraction class 10

Asked by admin @ 23/08/2021 in Physics viewed by 1141 persons

The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.

Asked by maham237 @ 10/01/2021 in Physics viewed by 1094 persons

A thief runs at a speed of 10m s

Asked by admin @ 23/08/2021 in Physics viewed by 1094 persons

A 5.8 x 10 4 watt elevator motor can lift

Asked by maham237 @ 20/06/2021 in Physics viewed by 1077 persons

Two stones are thrown up simultaneously with their initial velocities

Similar Questions

Two dice are thrown simultaneously what is the probability that

Two bodies are projected with the same velocity

A stone and feather are thrown from a tower

Two balls of different masses are thrown vertically upward

The velocity time graph for two bodies a and b

List two difference in tabular form between speed and velocity

Two objects can have the same speed but different velocities

Two dice are thrown at the same time

Draw a velocity versus time graph of a stone

Two balls are projected simultaneously with the same speed

A particle has initial velocity 2i 3j and acceleration

The initial velocity of a particle is u

Two particles a and b initially at rest

Velocity time graph of a body thrown vertically upwards

A ball is thrown vertically upward with velocity u

Most viewed questions in Physics

Jeevandeep health and physical education std 10 answers pdf

Hc verma physics class 9 solutions of describing motion

How to leave nightmare land answer key

Base area and stability of some objects with different shapes

Which of the following statements about safe lifting are correct

Porous water-absorbing mass of fibers

Absorption of water by filter paper is due to

A composite wire of uniform diameter 3mm

At a distance l 400m from the traffic light

A rocket of mass m is launched straight up with thrust f⃗ thrust.

A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is

Mind map for light reflection and refraction class 10

The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.

A thief runs at a speed of 10m s

A 5.8 x 10 4 watt elevator motor can lift