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Work Energy And Power

Solution for Class 11, Physics, Work Energy And Power

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6.1

Introduction 1. Let

A = \hat{i} A cos θ + \hat{j} A sin θ

be any vector. Another vector

B

, which is normal to

A

can be expressed as NCERT. Page-115

$\hat{i} B cos θ - \hat{j} B sin θ$ (b) $\hat{i} B cos θ + \hat{j} B sin θ$
$\hat{i} B sin θ - \hat{j} B cos θ$ (d) $\hat{i} B sin θ + \hat{j} B cos θ$

Topic:

Work, Energy and Power

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6.2 Energy: The Work-energy Theorem 5. According to work-energy theorem, the work done by the net force on a particle is equal to the change in its (a) kinetic energy NCERT Page-116 (c) linear momentum (b) potential energy (d) - angular momentum 6. A body starts from rest and acquires a velocity

V

T

. The work done on the body in time

t

will be proportional to (a)

\frac{V}{T} t

\frac{V ^{2}}{T} t^{2}

\frac{V ^{2}}{T ^{2}} t

NCERT Page-1 (d)

\frac{V ^{2}}{T ^{2}} t^{2}

Topic:

Work, Energy and Power

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F = - k Δ x FF = - k x Δ x = \frac{( u + x )}{\frac{ψ}{x}} Δ x = x

Woik roue By sporing Foere verialde forr \&w

ω = \frac{- 1}{2} k x_{2}^{2} + \frac{1}{2} k x_{1}^{2}

u = \frac{- 1}{2} k x^{2}

x_{2} = 2 c

trm - \frac{1}{2}

Topic:

Work, Energy and Power

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Steps to solve the problem based on work energy power

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Work, Energy and Power

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A particle is taken round a circle by application The work done by the force is

positive non-zero
negative non-ith

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Work, Energy and Power

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W

represents the work done, then match the two columen Column I

Force is always along the velocity (1) $W = 0$
Force is always perpendicular to

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Work, Energy and Power

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Work energg theorm Changs in K.E of a parlich is equat sto the wouk dow on tt by net foure.

v^{α} = u^{2} + 2 a s v^{α} - u^{α} = 2 a s

1/2 m

= = = = 1 h^{'} v^{2} - 1/ m u^{2} = 1/2 m \times Lus. \frac{1}{2} m v^{2} - \frac{1}{2} m u^{2} = ma s . 1/ m v^{2} - 1/ m u^{2} = FS 1/2 m v^{2} - 1/ m u^{2} = w K_{f} - K_{i} = w

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Work, Energy and Power

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m

is pushed with the initial velocity

v_{0}

up an inclined plane of angle of inclination

θ

. The coefficient of friction between the body and the plane is

μ

. What is the net work done by friction during the ascent of the body before it comes to stop?

Topic:

Work, Energy and Power

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PARALLAX METHOD (IV) Change in the apparent position of the object when viewed from two different points of view.

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Work, Energy and Power

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Question 10

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Ans A particle moves alon

x

x = 0

x = 5

m

under the influence of force

k^{9} = 7 - 2 x + 3

Find work done in this perocess.

f = 7 - 2 x + 3 x^{2}

= 5 m

Topic:

Work, Energy and Power

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Question 11

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4. Show that in case of one dimensional elastic collision, the relative velocity of approach of two colliding bodies before collision is equal to the relative velocity of separation after collision.

TS 18
A: One dimensional elastic collision
:1) Consider two spheres $A$ and $B$ of masses $m_{1}$ and $m_{2}$ moving with initial velocities $u_{1}$ and $u_{2}$ undergo a collision and after collision move with velocities $v_{1}$ and $v_{2}$ respectively.
In elastic collisions, law of conservation of momentum and kinetic energy are obeyed.

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Work, Energy and Power

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Question 12

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Help me to tackle class 11

Achyuth pv cachyuthpirategmalcoms to askmeghiwaniggmalicom *
Hello, Achyuth here from Chennai i am presontly studying class 11 and almost it is going to ond in a month or so. I havo wasted my wholo class i havo not joined ary it joe coaching as I thought I could not handle the stress of it. Still am unablo to manago my school lovel oxams. I am unable to do any sums and I foel demotivatod wholo time i wanted time by seeing motivational video that I bocamo addictod to watching thoso vidoos instoad of taking action and procooding furthor I do not havo a daily routine. I do not have much friends because I am extremo introvert. I don't ask doubts or solvo any sums ijust can't handlo the stross and my health is also worsening l am too Lary lo a chango and come back to my same routine. I am not able to focus or do anything I also lack lot of shils am so odd from others. I started to compare mrseif with others have no motivation to do anything. I just need a daily routine about how to plan and roviso things.
Pleaso try to holp me
Aso my interest is also closoly inclined to businoss and from cass 10 i was trading crypto and stocks studying about it and my interest was loaned towards businosios But due to some reason I chose computer science group in my school so I could not share my intorost and build towards it. This way my mind was half wavery sort of and couldn do beth of them as of now. I am also extremo introvert and do not have much friends trom my childhood i was baroly taking to anyone even with $m y$ parents I tak loss. I am in a frenzy situation pls try to help me

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Work, Energy and Power

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Question 13

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Distinguish between conservative and non conservative forces Properties of conservative force 1) Work done by this force depends on the initial and final nositions of the b

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Work, Energy and Power

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Question 14

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of Bill in Different Cases 1st July, 2020 Kumar Gaurav drew a bill on Chanky Pandey for ₹ 2,000 pa onths. Chanky Pandey accepted it and returned to Kumar Gaurav. The bill was he due date. Show what entries would be passed in the books of Kumar Gaurav at andey under each of the following conditions : If Kumar Gaurav keeps the bill with him till the due date. If Kumar Gaurav discounts the bill with his banker for ₹ 1,950. i) If Kumar Gaurav endorses the bill to his creditor, Sanjay Dutt in full settl. If Kumar Gaurav sends the bill to the Bank for collection. Jan. 3, 2020 Arun sold goods for ₹ 30,000 to Sunil.

50%

of the payment mediately by Sunil on which Arun allowed a cash discount of

2%

. For the balane rromissory note in favour of Arun payable after 20 days. Since, the date of ma a a public holiday, Arun presented the bill on a day, as per the provisions o trument Act which was met by Sunil. State the date on which the bill was in for payment and Journalise the above transactions in the books of Arun

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Work, Energy and Power

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Question 15

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2 g (h + 2 R)

\frac{5}{2} R

3000 N m^{- 1}

respectively are stretched with the same force. They will have potential energy in the ratio (a) 1:2 (b)

2 : 1

1 : 4

Topic:

Work, Energy and Power

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Question 16

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Three masses of 3kg ,4kg ,5kg are located at the corners of an equilateral triangle of side 1m, then what are the co-ordinate of center of mass of this system

Topic:

Work, Energy and Power

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Question 17

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Q) Three identical balls

A, B, C

M

' Conneoted by two string are placed ontene 5 mooth horizontal sureface and Strings are inextensible. Ball B projected horcizontally with velooity

V_{0}

. Find velocity of

A

with respect to

B

A

C

colfide. Calculate Tension in each streing before the collision. (Note:- Solve this question in ground Frame) only

Topic:

Work, Energy and Power

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Question 18

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1)A body of mass

50 kg

is initially at rest and attains a speed of

2 m / s

in 5 seconds. Find the force causing the motion. What is the displacement of a body in these 5 seconds?

Topic:

Work, Energy and Power

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Question 19

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Dimensional formula:

[ML^{- 1} T^{- 2}]

It is a scalar quantity. (nis: Water proofing agents Water Wetting agents 2. Define Viscosity. What are it's units and dimensions? [May 13||AP,TS 15,16,18] Ans: Viscosity: The property of a fluid which opposes the relative motion between different layers is called viscosity. The S.I unit of viscosity is poiseiulle (pl) (or) pa s The dimensions of viscosity are

[ML^{- 1} T^{- 1}]

3. What is the principle behind the carbureror of an automobile? [TS 17,18||AP 15,19,19] Ans: The carburetor of an automobile works on Bernoulli's principle. They increase penetrati Working : The carburetor of automobile has a Venturi channel(nozzle) through which air flows with a large speed. The pressure is lowered at the narrow neck and the petrol is sucked up in the chamber to provide the correct mixture of air to fuel necessary for combustion. 10. What is angle of Ans: Angle of contact:

V

the tangent drawntc contact. For Pure Water an 4. What is magnus effect? |AP 15| ITS

16, 19, 19

| For Mercury, angl

Topic:

Work, Energy and Power

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Question 20

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What is the maximum value of

4 + 3 cos θ

? (3) 5 (1) 1 (2) 4

Topic:

Work, Energy and Power

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