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If the rain is falling slant at some angle with the vertical. Then if the cyclist has to feel the rain is falling vertically he has to move with the same horizontal velocity. Therefore the velocity of the cyclist should be2 m/s in north direction.

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it's easy with pseudo force

Let velocity of object is u we know, at 10m height object will be rest . so, final velocity = 0

A/C to kinematics equations, v² = u² + 2aS 0 = u² +2(-g) × 10 0 = u² - 2 × 100 u² = 200u = 10√2 m/s

Time taken by the object to reach the highest point is t v = u + at 0 = 10√2 - 10t t = 10√2/10 sec t = √2 sec

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Let velocity of object is u we know, at 10m height object will be rest . so, final velocity = 0

A/C to kinematics equations, v² = u² + 2aS 0 = u² +2(-g) × 10 0 = u² - 2 × 100 u² = 200u = 10√2 m/s =14m/s

Time taken by the object to reach the highest point is t v = u + at 0 = 10√2 - 10t t = 10√2/10 sec t = √2 sec =1.44sec

According to Joule's law of heating, the heat produced in a wire is directly proportional to (1) Square of current (I^) (2) Resistance of wire (R) (3) Time (t), for which current is passed. i.e., Heat producted, H = I^2 X t Joules. Applications in daily life : (1) The heating effect of current is utilised in the working of electric heating appliances such as electric iron, electric kettle, electric toaster, electric oven, room heaters, geysers, etc. (2) The heating effect of electric current is utilised in electric bulbs. (3) The heating effect of electric current is utilised in electric fuse for protecting household wiring and electrical appliances. (4) The heating effect of electric current is utilised in laundry iron.

A time period (denoted by 'T' ) is the time needed for one complete cycle of vibration to pass in a given point. As the frequency of a wave increases, the time period of the wave decreases. The SI unit for time period is seconds.

Frequency, the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion. The symbols most often used for frequency are f and the Greek letters nu (ν) and omega (ω).The SI derived unit of frequency is the hertz (Hz), named after the German physicist Heinrich Hertz. One hertz means that an event repeats once per second.

For periodic motion,frequencyisthenumber of oscillations per unittime.Therelationship betweenfrequencyandperiodis.The SIunit forfrequencyisthe cycleper second, which isdefinedto be a hertz (Hz): Acycleis one complete oscillation.

The possibility of that is highly unlikely as the sun is so hot due to the nuclear fusion going on. Pluto doesn't have the materials for that to occur.In case it occurs, Pluto will be totally destroyed and the resulting heat will probably destroy neighbouring planets too.

u = 19.5 m/s

t = 5 sec

g = 9.8 m/s²

Total distance covered while going up = S

total distance covered while coming down = h+S

At topmost point

v = 0

v = u - gt

0 = 19.5 - 10 (9.8)

t = 2 sec (appx)

Now,

The velocity of ball when it falls down a distance S after reaching topmost height (h+S) will be same as initial velocity (calculate yourself), and the time taken will again be 2 sec.

So, total time elapsed = time for going up S + time for coming down S = 2+2 = 4 sec

Total time = 5 sec

Remaining time = 5-4 = 1 sec

here u = 19.5 m/s(downwards) , t = 1 sec

h = ut + 1/2 g t²

h = 19.5 (1) + 1/2 (9.8) (1) = 19.5 + 4.9 = 24.4 m

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A) The initial velocity of the ball is 20m/s :As it reaches a maximum height of 20mand the acceleration is 10m/s^2. So in order to reach a height of 20m ,with an acc. in opp. direction it has to move with 20m/s

b) 20m/sAs the velocity of any object thrown upward with some speed lands on the ground with the sane speed

c) use v=u+at0=20-10t »t=2 secbut this is the time it reach the max. heightso it will take 2 more sec to reach ground» Time = 4 sec

(b) is correct

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Afossil fuelis afuelformed by natural processes, such asanaerobic decompositionof buried deadorganisms, containing energy originating in ancientphotosynthesis.

The age of the organisms and their resulting fossil fuels is typically millions of years, and sometimes exceeds 650 million years. Fossil fuels contain high percentages ofcarbonand includepetroleum,coal, andnatural gas.

Other commonly used derivatives includekeroseneandpropane. Fossil fuels range fromvolatilematerials with lowcarbontohydrogenratios likemethane, to liquids like petroleum, to nonvolatile materials composed of almost pure carbon, likeanthracitecoal.

Methane can be found inhydrocarbonfields either alone, associated withoil, or in the form ofmethane clathrates.

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3.

4.

Two law of reflection of sound are :-

1 = The incident sound wave, the reflected sound wave, and normal at the point of incidence, all lie in the same plane

2 = The angle of reflection of sound is always equal to the angle of incidence of sound

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These small plants are kept in bags to protect them from the outer environment and pamper them with suitable growth conditions and when these plants have grown sufficiently they would be grown in field condition.

C . Both hydrogen and oxygenExplaination : Electrolysis of water is the decomposition of water intooxygenandhydrogengas due to the passage of an electric current.

c is a right answer both hydrogen and oxygen

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Synonymsforgravitation

nounmutual attraction

gravity

planetary motion

It is like this because the acceleration due to gravity is constant and opposite to the direction of initial velocity hence a straight line with a negative slope

It is like this because the acceleration due to gravity is constant and opposite to the direction of initial velocity hence a straight line with a negative slope

sorry but the velocity is not asked the speed and speed does not have direction

A body is thrown vertically upwards. Its velocity keeps on decreasing. What happens to its kinetic energy as its velocity becomes zero. When a body is thrown vertically upward its velocity continuously decreases, kinetic energy also decreases and potential energy increases due to increase in height.

U= 5 m/sv= 0 m/s (since we need to find maximum height)a= -9.8 m/s^2s= (v^2 - u^2)/2a= (0-25)/-19.6 = -25/19.6 = 1.27mThus the maximum height reached by the stone is 1.27m.

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where is b part

let the age of A = x

age of B = x+2

since, A's father D is twice as old as ASo, age of D = 2×x = 2x

and since B is twice as old as his sisterSo, age of C = age of B / 2 = (x+2)/2

according to the question,The age of D and C differ by 40yrs.it means,

age of D - age of C = 40

=> 2x - [(x+2)/2] = 40

=> 2x - (x+2)/2 = 40

=> 4x/2 - (x+2)/2 = 40

=> (4x - x + 2)/2 = 40

=> 3x+2/2 = 40

=> 3x + 2 = 40 × 2

=> 3x = 80 - 2

=> x = 78/3= 26

So, age of A = x = 26yr.s

age of B = x + 2 = 26 + 2 = 28yr.s

We know, Young's modulus is the ratio of stress to strain. e.g., Y = stress/strain.if we assume a wire of length L, area of cross section A is fixed at one end and stretched by suspended a load M from the other end due to this extension of wire is x.

so, Young's modulus of wire , Y = FL/Ax or, F = YAx/L we know, workdone , W = F.dx so, W = (YAx/L)dxor, W = 1/2 × YAx²/L W = 1/2 × {YAx/L} × x W = 1/2 × F × x

hence, Work done = 1/2 × load × extension

now, potential energy = workdone by external applied force = 1/2 × load × extension.so, strain energy = 1/2 × load × extensionnow, strain energy per unit volume = 1/2 × load × extension/volume = 1/2 × load × extension/(cross section area × length)= 1/2 × (load/cross section area) × (extension/length)= 1/2 × stress × strain

hence, energy per unit volume = 1/2 × stress × strain

1st interval time=40 /40=1hrTotal distance =40+80=120kmTotal speed=60Total time=120/60=20hrSo,speed for 80km in 20hr=80/20=4km/hr is the right answer

For first half, distance=v1t/2.........for second half, distance=v2t/2Average speed=v1t/2+v2t/2 the whole divided by t/2+t/2

=v1t+v2t/2/t =v1+v2/2 80+40/2 = 60 km/h

The problem can be solved by two methods

Method 1 :

Vav= 80 + 40 / 2

= 120/2

= 60 km /h

Method 2 :

Let the half time intervals be t

Therefore 60 = 80t + 40t

t=1/2

total time = 1/2*2 = 1hr

vav= Total distance / Total time

= 60 / 1

= 60 km/h