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Continuation of Question :The Kinetic Friction force is 15 N and spring constant is 10000 N/m. The spring compresses by how much ?

As the block is moving with some initial velocity it must be having must KE. Finally, it comes to rest so kinetic energy final will be zero.. it ll have some potential energy. As frictional force is also given it will some work done by friction.. applying the work-energy theorem... Work done(external force) + work done (non conservative force ) = change in kinetic energy+ change in potential energy. 0 + 15x = kf - ki + pf - pi. 0 + 15x = 0 + 1/2mv2 + k/2x² - 0. On putting the values you get a quadratic equation ie 5000x² - 15x -16=0 solving this equation x = 0.056m or 5.6 cm

Abullet of 0.01kg is fired horizontally into a 4kg wooden blockat rest on a horizontal surface, the coefficient of kinetic frictio between the block and surface being 0.25.The bullet remains embedded in the block and the whole system moves20m before coming to rest.With what velocity did the bullet strike the block?

this is the solution for a similar ques.

In Newtonian physics, free fall is defined as the motion of an object where gravity is the only force acting upon it

When a body falls under the influence of only gravity(without any external force) is called as free fall.

In Newtonian physics, free fall is any motion of a body where gravity is the only acceleration acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it.

Free fallis defined as the motion of an object where gravity is the only force acting upon it. By this definition then, a skydiver is never in truefree fall, even before they deploy their parachute.

Archimedes’s Principle will not hold in a vessel in free – fall as in this case, acceleration due to gravity is zero and hence buoyant force will not exist.

no

Both the elephant and a matchbox will reach the ground at the same time. The time taken for free fall does not depend on mass of the body.

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option A is the correct answer

An elastic modulus is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it. The elastic modulus of an object is defined as the slope of its stress–strain curve in the elastic deformation region: A stiffer material will have a higher elastic modulus

Answer is 4900

The communication satellites always orbit in the same spot relative to the Earth; they don’t disappear over the horizon and then reappear later. They also allow for the satellite-based global positioning system, or GPS, to work. Hence, their time period is same as that of earth.

The answer is Option C.

For x – direction first,

Applying the eqns. of motion,

v1 = u1 + at

v1 = 8i + 2i*t => (8 + 2t)i ….........................(1)

For y – direction.

acceleration is zero.

thus velocity remains constant.

v2 = u2

v2 = -15j …................(2)

Thus resultant velocity of particle at time t from eqnns. (1) and (2) is given by:

v = v1 + v2

v =(8 + 2t)i – 15j m/s.

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Theperiodis proportional to r 3 / 2 where is the orbit radius, so it depends on the orbit. However, most “communication satellite” are placed in geosynchronous orbit, which means theperiodis “in-sync-with” the Earth (theperiodis the same as the time it takes for the Earth to rotate).

let initial velocity uand acceleration is a so from equation of motion4u+8a=244u+16a+8a=64a=40/16u=1m/s

let initial velocity u

and acceleration is a so from equation of motion

4u+8a=24

4u+16a+8a=64

a=40/16

u=1m/s

The chemica formula of water is H2O

Least count is the minimum value you can measure with the specific device or it is smallest printed increment least count of smallest graduated cylinders is 25 ml.... to calculate least count of graduated cylinder you have to divide 100 by in thecase of small graduated cylinder. to find L.C you have to divide main division by smallest divisions......

Givenm1=0.30kgv1=100m/sm2=2kgv2=?

m1v1=m2v2v2=m1v1/m2v2=0.30×100/2v2=15m/s

Ans) The recoil velocity of the gun is 15m/s.

v=18*5/18=5 m/sA=5/60=1/12 m/s2F=ma=500*1/12=41 .667N

Differentiation is a process of finding a function that outputs the rate of change of one variable with respect to another variable.

TheSun'slightenergyhelps plants to photosynthesise. The produced plant food is used for survival of all the plant and animal life..

Oil, natural gas and coal arefuel sourcescreated from this process that people use for their fueling needs.

Electron is Negatively charged particles. The ultimate source of energy is sun.

The principle of work and kinetic energy (also known as the work-energy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle. This definition can be extended to rigid bodies by defining the work of the torque and rotational kinetic energy.

Always the resultant bends towards that vector which is higher in magnitude. If the magnitude of the vectors are the same, the resultant will make equal angles with both. But, If suppose A vector has a high magnitude than B, then the resultant will bend more towards A and hence alpha will be less than beta.hence option 3

Angle is inversely proportional to magnitude of the vector.

Therefore ans. is (3)

The equivalent resistance between two legs is 72/5 ohm.

d) as it depends only when we know that what is earlier state of bubble Charged (positive or Negative) or neutral

D) nothing can be predicted as information is insufficient

Option A is correct

option (a)

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Differentiate two times for acceleration..d2s/dt2=4m/s^2

Excess pressure inside a soap bubble:

P=4TR

Here,Tis surface tension andRis radius of the bubble.

Volume of soap bubble:

V=43πR3

Under isothermal conditions:

PV=P1V1+P2V2(4TR)(43πR3)=(4Tr1)(43πr13)+(4Tr2)(43πr23)R2=r12+r22R=r1^2+r2^2√=(3)^2+(4)^2√=5cm