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SashulF [63]
3 years ago
11

12. Prove that v' = u? + 2as.​

Physics
2 answers:
densk [106]3 years ago
7 0

Answer:

\boxed{ \boxed{ \orange{ \sf{see \: below}}}}

Explanation:

{  \underline{ \underline \bold{ \sf{ \blue{ {question \: }}}}}}

\sf{ \bold{ \underline{ \: prove \: that \:  {v}^{2}  =  {u}^{2}  + 2as}}}

\underline{ \underline{  { \bold{ \sf{ \purple{solution} }}}}}

Let us assume a body moving with an initial velocity ' u '. Let it's final velocity be 'v' after a time 't' and the distance travelled by the body be 's'. We already have ,

\sf{v = u + at} ⇒first equation of motion ( i )

\sf{s =  \frac{u + v}{2}  \times t} ⇒second equation of motion ( ii )

Putting the value of t from ( i ) in the equation ( ii )

{ v = u + at

or , at = v - u

or, t = v-u / a }

\sf{s =  \frac{u + v}{2}  \times  \frac{v - u}{a} }

\sf{or \: s =  \frac{ {v}^{2} -  {u}^{2}  }{2a} }

\sf{or \: 2as =  {v}^{2}  -  {u}^{2} }

\sf{ \boxed{ \bold{ \:   ∴  \:  \: \: {v}^{2}  =  {u}^{2}  + 2as}}} ⇒ forth equation of motion

Hope I helped!

Best regards!!

pashok25 [27]3 years ago
5 0
<h3><u>Correction</u><u>:</u><u>-</u></h3>

Prove that v² = u² + 2as .

<h3><u>Solution</u><u>:</u><u>-</u></h3>

From first equation of motion,

v = u + at

=> at = v - u

=> t = v - u / a

From the second equation of motion, we have

s = ut + 1/2at²

Putting the value of t in above equation , we get:

s = u ( v - u /a ) + 1/2 a ( v - u/a )²

s = uv - u² / a + a( v² + u² - 2uv / 2a²)

s = uv - u² / a + v² + u² - 2uv / 2a

s = 2uv - 2u² + v² + u² - 2uv / 2a

2as = v² - u²

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Here,

u is initial speed of a body

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3 years ago
108J of work was done on a closed sysem. During this phase of the experiment, 79J of heat was added to the system.What was the t
skelet666 [1.2K]

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Explanation:

According to the first law of thermodynamics, the change in internal energy of a system is given by the equation:

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W = +108 J is the work done on it

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3 years ago
A rectangular trough, 2.0 m long, 0.70 m wide, and 0.40 m deep, is completely full of water. One end of the trough has a small d
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Answer:

speed does water emerge from the hole v= 2.8 m/sec

Explanation:

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the potential energy of water will be converted into kinetic energy as

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4 years ago
You launch a baseball through the air at speed 37 m/sec, at angle 45 degrees above horizontal. Neglect air resistance. What shap
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Answer:

Parabolic motion

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The equation of parabolic path is given by :

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It is similar to,

y=ax+bx^2 which is the equation of parabola

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6 0
3 years ago
Which objects will likely have the greatest gravitational force between them?
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m_2 > m_1

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So, d_2 > d_1

The gravitational force, F, between the two objects having masses M and m and separated by distance d is

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As, the gravitational force is directly proportional to the product of both the masses and inversely proportional to the square of the distance between them,  so selecting the larger mass (m_2, soccer ball) separated by a lesser distance (d_2, touching) to get more gravitational force.

Therefore, there will be a larger gravitational force between them when two soccer balls touching each other.

Hence, option (d) is correct.

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3 years ago
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