A particle moves in a straight line with retardation

Asked by admin @ 17/08/2021 in Physics viewed by 327 People

A particle moves in a straight line with retardation proportional to its displacement . its loss of kinetic energy for any displacement x is proportional to [AIEEE 2004]

(a) x² (b) e^x (c) x (d) lnx

Answered by admin @ 17/08/2021

Answer:option b

a=−kx⇒dtdv=−kx

Also dtdx=v or dt=dvdx

∴dxvdv=−kx⇒v1∫v2vdv=−0∫xkxdx

(v22−v12)=−2kx2⇒21m(v22−v12)=21m[2−kx2]

∴ΔK∝x2

Explanation:

if u like this mark as brainliest answer

A particle moving in a straight line covers half

Asked by admin @ 20/08/2021 in Physics viewed by 291 persons

A particle moving in a straight line covers half of a distance with Speed 3 metre per second the other half of a distance is covered in 2 equal time …

A particle moves along a straight line ox

Asked by admin @ 24/08/2021 in Physics viewed by 297 persons

a particle moves along a straight line OX. At a time t[u = in seconds ] the distance x [in m] of the particle from O is given by x= …

A cart is moving horizontally along a straight line

Asked by admin @ 17/08/2021 in Physics viewed by 318 persons

a cart is moving horizontally along a straight line with constant speed 30m/s .a projectile is to be fired from the moving cart in such a way that it will …

A car is moving horizontally along a straight line

Asked by admin @ 16/08/2021 in Physics viewed by 324 persons

2 A car is moving horizontally along a straightline. A ball is projected from this car in sucha way that it will return to it after it has …

Two particles are in shm in a straight line

Asked by admin @ 23/08/2021 in Physics viewed by 294 persons

Two particles are executing shm in a straight line with same amplitude a and time period t. At time t=0, one particle is at displacement x1=+a and the other at …

The motion of a particle along a straight line

Asked by admin @ 20/08/2021 in Physics viewed by 338 persons

The motion of a particle along a straight line is described by equation x=8+12t-t3 where x is in metre and t in second. The retardation of the particle when its …

Two particles are executing shm in a straight line

Asked by admin @ 17/08/2021 in Physics viewed by 274 persons

Two particles are executing shm in a straight line with same amplitude a and time period t. At time t=0, one particle is at displacement x1=+a and the other at …

Two particles are in shm in parallel straight lines

Asked by admin @ 17/08/2021 in Physics viewed by 384 persons

two particles are in shm in parallel straight lines close to each other.amplitude a and time period t of both the particles are equal .at time t=0 ,one particle is …

A particle executes shm on a straight line path

Asked by admin @ 20/08/2021 in Physics viewed by 319 persons

A particle executes SHM on a straight line path.The amplitude of oscillation is 2 cm.when the displacement of particle from the mean position is 1cm,the numerical value of magnitude of …

A point mass starts moving in a straight line

Asked by admin @ 20/08/2021 in Physics viewed by 290 persons

a point mass starts moving in a straight line with constant acceleration "a". at a point after the beginning of motion,the acceleration changes sign, without change in magnitude. determine time …

Yellow lines separate lanes of traffic moving in opposite directions

Asked by admin @ 04/12/2021 in English viewed by 334 persons

Yellow lines separate traffic lanes moving in opposite directions traffic lanes on one-way streets pedestrians from vehicles all cars on the roadway

A particle starts moving with acceleration 2m s2

Asked by admin @ 31/08/2021 in Physics viewed by 324 persons

A particle starts moving with acceleration 2m/s distance travelled by it in 5th half second is: A1.25 m b 2.25 m c 6.25 m d 30.25 mAnswer is b.but how?