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H = u^2 sin2 theta/g put all the values you will get it

When the object is moving inuniform circular motion, then theangle betweenthevelocity vectorandacceleration vectoris equal to 90 degrees.

In this case, the type of acceleration caused is generally called ascentripetal acceleration.

Thus acceleration vector forms 90 degree angle with the velocity vector.Hence, option (3) is correct.

velocity of block w.r.t plank = Vb-Vp = 4j-3i and unit vector will be = (-3i+4j)/5

now , friction always acts opposite to the velocity of the body

so, unit vector along the Frictional force = -[-3i+4j]/5 = (3i-4j)/5

option B

In order to keep the arealvelocity constant, thelinear velocityof theplanetgoes on changing. ... The square of the time period of revolution of aplanetaround the sunisdirectly proportional to the cube of the semi major axis ofitsellipticalorbit.

Using Newton's second formula of motion

Sx = 1/2*ax*t² = 1/2*6*4² = 48m

and Sy = 1/2*ay*t² = 1/2*8*4² = 64m

so, distance from origin is = √48²+64² = 80m

option 3.

acceleration in x direction = d²x/dt² = d(7+8t)/dx = 8m/s²

acceleration in y direction = d²y/dt² = d(5)/dt = 0

so only acceleration is 8m/s².

option 2

Can u answer it using projectile motion.

answer will be same im any case...

for projectile eliminate t from both the equation.. and write equation of y in terms of x.

X = at + bt^2

Units of at and bt^2 should be km. Then it is possible to get “x” in km.

Therefore,km = b(s)^2b = km/s^2

Units of b is km/s^2

The answer is option C.

A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.

the answer of this question is 5960 kg/m3

answer=5960kg/m3is a write answer

body A has mass of 1 kg and location (1,1)

body B has mass of 2kg and location (2,2)

mcxc= m1x1+ m2x2

(1+2) xc= (1*1) + (2*2)

xc= 5/3

similarly

mcyc= m1y1+ m2y2

(1+2)yc= (1*1)+(2*2)

yc= 5/3

hence the co-ordinates of the center of mass are ( 5/3 ,5/3)

no. of neutron can be determined by

(Atomic mass - atomic no. of that atom(z)) no. of neutron = A-Z

The boat’s velocity and the river velocity will give the boat a new resultant velocity.

As the boat’s velocity is perpendicular to river velocity,

Assume that,

VB= Velocity of boat

VR= Velocity of river

Apply pythagoras theoram,

Resultant velocity2= VB2+VR2

102=82+VR2

100 = 64 +VR2

VR2 = 36

VR = 6 km/h

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time =distance by speed apply this formula and get the answer

time equal to distance by speed

double differentation of displacement gives accerlation by doing diffrentiation we will velocity v=5(2t)+4(1)+0;v=10t+4 again doing differention we get a = 10(1)+0; a=10

acceleration is double derivative of displacement function so resultvelocity = 10t + 4(derivative of displacement) therefore acceleration = 10

Newtons First law of motion.

V2−U2 = 2gS Here given that, U = 0 m/s, S = 1.5 m. So,V2−02 = 2×10×2 ⇒V=40−−√ m/s.So, momentum of the ball is,Pi=mV = 0.1×40−−√ = 0.1×6.325 = 0.633⇒ Pi=0.633 kg.m/s

After collision, it is given that the ball rises to a height S' = 1.5 m.So, velocity with which the body rises is,

V2−U2=−2gS' ⇒ 02 − V'2 = −2×10×1.5 ⇒V' = 30−−√ m/s.So, the momentum of the ball, when the ball is bouncing back.

Pf=mV' = 0.1×30−−√⇒Pf=0.547 kg m/s.

Therefore, the average force exerted by the floor on the ball is,

Favg=∆PDt = 0.633−0.54710−8=0.086×108 ⇒Favg=8.6×10^6N

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M = 0.1 kgV1 = 5 m/sV2 = v1 - g*t = 5 - 9.8 * t = 0 (highest point)t = 0.51 sec

S = v1 * t - 1/2gt^2 = 5 * 0.51 - 4.9 * (0.51)^2 = 1.276 m = h

W = m * g * h = 0.1 kg * 9.8 m/s^2 * 1.276 m = 1.25 joulesor alternatively:W = initial Ek - final Ek = mgh = 1/2 m * V1^2 = 1.25 joules(final kinetic energy = 0, because of the work done by gravity, all Ek is transformed into potential energy Ep = mgh)

Mercury and water are not the only substances capable of existing in three distinct states of matter. In fact, all of the elements, of which mercury is one, may exist insolid,liquid, or gas forms.

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1.Newton's First Lawstates that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. It may be seen as a statement about inertia, that objects will remain in their state of motion unless a force acts to change the motion.

2.A force is a push or a pull that acts upon an object as a results of its interaction with another object. These two forces are called action and reaction forces and are the subject ofNewton's third law of motion. Formally stated,Newton's third lawis: For every action, there is an equal and opposite reaction.

3.The tendency of a body atrestto remain atrest, or of a body in motion to continue moving in a straight line at a constant speed unless a force is applied to it. Mass is a measure of a body'sinertia.