1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
steposvetlana [31]
3 years ago
12

Show that (a)KE=1/2mv2

Physics
1 answer:
evablogger [386]3 years ago
5 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{see \: below}}}}}

Explanation:

\underline{ \bold{ \sf{To \: prove \: that \: kinetic \: energy =  \frac{1}{2} m {v}^{2} }}}

Let us consider, a body of mass ' m ' is lying at rest ( initial velocity = 0 ) on a smooth surface. Let a constant force F displaces this body in its own direction by a displacement ' d '. Let 'v' be it's final velocity. The work done ' W ' by the force is given by :

\sf{W = FD}

⇒\sf{W = m \:  \times a \:  \times s} \:  \:  \:  \:  \:  \:  \:  \:  \: ( \: ∴ \: f \:  =  \: ma \: ; \: s \:  = d)

⇒\sf{W = m \:  \times  \frac{v - u}{t}  \times  \frac{u + v}{2}  \times t \:  \:  \:  \:  \:  \:  \:  \:  \: (∴ \: a =   \frac{v - u}{t} and \: s =  \frac{u + v}{2}  \times t}

⇒\sf{W = m \times  \frac{ {v}^{2}  -  {u}^{2} }{2} }

⇒\sf{W =  \frac{1}{2} m {v}^{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: (since, \: initial \: velocity(u) = 0)}

The work done becomes the kinetic energy of the body. Thus, the kinetic energy of a body of mass ' m : moving with the velocity equal to 'v ' is 1 / 2 mv²

∴ \sf{KE=  \frac{1}{2} m {v}^{2} }

\sf{ \underline{ \bold{  {proved}}}}

Hope I helped!

Best regards!!

You might be interested in
What do I feed my pet fly
KatRina [158]

Answer:

If she ___(be) rich, she _____ (buy) a new sports car.

Group of answer choices

is/buys

be/buy

were/would buy

were/bought

6 0
2 years ago
Read 2 more answers
A 2-kg book falls off a shelf. It hits a student traveling 2 m/s. How much kinetic energy does the book have?
Gekata [30.6K]

4 J

1/2 mv^2 is ke formula

3 0
3 years ago
Light bulb 1 operates with a filament temperature of 2700 K whereas light bulb 2 has a filament temperature of 2100 K. Both fila
Lemur [1.5K]

Answer:

0.3659

Explanation:

The power (p) is given as:

P = AeσT⁴

where,

A =Area

e = transmittivity

σ = Stefan-boltzmann constant

T = Temperature

since both the bulbs radiate same power

P₁ = P₂

Where, 1 denotes the bulb 1

2 denotes the bulb 2

thus,

A₁e₁σT₁⁴ = A₂e₂σT₂⁴

Now e₁=e₂

⇒A₁T₁⁴ = A₂T₂⁴

or

\frac{A_1}{A_2} =\frac{T_{2}^{4}}{T_{1}^{4}}

substituting the values in the above question we get

\frac{A_1}{A_2} =\frac{2100_{2}^{4}}{2700_{1}^{4}}

or

\frac{A_1}{A_2} }=0.3659

6 0
3 years ago
Very briefly describe two (2) key strategies for retaining staff.
tino4ka555 [31]

Answer:

(1) Offer the right benefits

(2) Be transparent and open

Explanation:

There are two key strategies for retaining step are discussed below:

(1) Offer the right benefits: Benefits and perks can play a very good role in keeping employees happy, healthy and engaged. But benefits can go far beyond paid sick leaves and health coverage.

The company can give some financial awards to the employees which can help in exceeding performance and by this employees will stay in the company for a long period. Nearly 9 out of 10 companies will provide incentives and bonuses to the employees in coming next five years, according to the CTA.

(2) Be transparent and open: Creating open communication between the management and employees will help in the growth of the company as well as make the office atmosphere good. By this employees can share the ideas with the management and by these meetings, the employees can share their problems with management frankly will help employees to stay in the company for a longer period.

3 0
3 years ago
Numerical Problems:
dangina [55]
  • Displacement=1200m
  • Time=4min=4(60)=240s

\boxed{\sf Velocity=\dfrac{Displacement}{Time}}

\\ \sf\longmapsto Velocity=\dfrac{1200}{240}

\\ \sf\longmapsto Velocity=5m/s

6 0
3 years ago
Other questions:
  • The temperature of the soda
    8·2 answers
  • John has tied his friend, Zory, a stuffed unicorn to a toy car with a massless string whichmakes an angle of 30°. If he rides fo
    13·1 answer
  • A soccer ball rolls to a stop of 21 m/s with a deceleration of -2.0 m/s. How far does it roll until it stops?
    14·2 answers
  • What did Thomson’s model of the atom include that Dalton’s model did not have?
    14·2 answers
  • How radiowave work ​
    12·2 answers
  • One student bangs two bricks together
    12·1 answer
  • Toy car in a science experiment covers 1.6 meters in half a second. If a the car travels at a steady speed, how far will it go i
    5·1 answer
  • Suppose you designed a spacecraft to work by photon pressure. The sail was a completely absorbing fabric of area 1.0 km2 and you
    12·1 answer
  • A mixed cost contains Select one:
    8·1 answer
  • Water boils at 100°C and turns into steam. Which similarities or differences are there between water in these two states? (1 poi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!