A particle of mass 8 gm moving in a straight line is always acted upon by a force whose magnitude is 128 times the displacement from the centre of the path and directed towards the centre. Find its maximum velocity and maximum acceleration, if the amplitude is 5 cm.

Q: A small, spherical asteroid of mass 6500000 kg and radius 7.6 m is stationary. The unsuspecting…

A: Given, Mass of asteroid , M = 6500000 kgRadius, R = 7.6 mMass of car, m = 1320 kgSpeed of Tesla car,…

Q: An automobile engine slows down from 2500 rpm to 1200 rpm in 2.5 s. Calculate its average angular…

A:

Q: A 5 kg mass is spun around in a circle of radius 2m with a period of 7 s. What equation would you…

A: The radius of the circle, r=2.0 m   The time period, T=7.0 s

Q: If a particle executes uniform circular motion in the xy plane in clock wise direction, then the…

A: Given that If a particle executes uniform circular motion in the x-y plane in clock wise direction…

Q: If we have a body moving with an amplitude (8 cm) and a frequency of (1.25 Hz), then its angular…

A:

Q: The sphere at A is given a downward velocity v0 and swings in a vertical circle of radius I and…

A:

Q: How much would a simple pendulum deflect due to the gravity of a nearby mountain? As a model of a…

A: A moving object's trajectory changes when it comes into contact (collision) with a surface or is…

Q: A particle moves  with constant angular velocity ω round the curve with polar equation…

A: Given the position vector of rotating particle, r=a1-4sin(Θ)      a>0       (1)   The velocity of…

Q: A pulsar is a rapidly rotating neutron star that emits a radio beam the w receive a radio pulse for…

A: Torque is a unit of measurement for the force required to rotate an object around an axis. Torque…

Q: 12-190. A particle moves along an Archimedean spiral r= 0 = 4 rad/s (80) ft, where 0 is given in…

A: Given, equation of the path of the particle is r=8θft And θ˙=4rad/s   Then time derivatives…

Q: Can someone please explain it to me ASAP?!!! A binary star system consists of two stars, M1 = 3M and…

A: Given: The mass of the first star is 3M. The mass of the second star is M. The separation between…

Q: Find the tangential and normal components of acceleration of a particle traveling on the curve r(u)…

A: Solution: Part a) To find the tangential and normal components of acceleration, we first need to…

Q: A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a…

A: Given Period of rotation for pulsar = T = 0.0985 s Increase rate = 7.64 x 10-8 s/y To find out…

Q: The ratio of the radius of the motion of particle AA to that of particle BB is closest to

A: Given data: The acceleration of particle AA is: aAA=5.6aBB The acceleration of the particle BB is:…

Q: Two blocks of mass ma=5.7kg and mg=6.2kg are attached to the ends of a massless string which passes…

A: We use the Newton's second law of motion to get the required.

Q: M x= -G +G M x2 (x — L)²' -

A: Given the equation d2xdt2=−GMx2+GM(x−L)2⇒d2xdt2=−GMx2+GM(L−x)2    [As (x-L)2=(L-x)2]This is a…

Q: A conical pendulum is a heavy ball suspended at the end of the thin wire of negligible mass. The…

A: From the figure, the net of the vertical force ΣFy=Tcosθ-mg0=Tcosθ-mgTcosθ=mg             ...... (1)…

Q: A particle of mass 0.1kg moves in a circular path on a horizontal frictionless plane, attached…

A: Given data:  Mass of particle (m) = 0.1 kg Maximum tension force (T) = 1N Radius of circular path…

Q: Conical pendulum is a ball with mass m hung on the ceiling with a thin 1.The ball has a initial…

A:

Q: The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth. This…

A:

Q: Your professor has put 5 objects near the top of an inclined plane: a uniformdensity solid sphere, a…

A:

Q: A simple pendulum has a periodic time of 2.0 s on the surface of the earth. The If the mass and…

A: Solution: The gravitation force on the earth due to the moon is given by,  FE=GMmr2…

Q: Write the vector expression for the acceleration a of the mass center G of the simple pendulum in…

A: Solution:-Given thatAngular displacement (θ)=36°Angular speed (θ)˙=ω=1.64 rad/secAngular…

Q: second hand and the linear speed and linear acceleration of a point on the second hand 7.67 cm from…

A: Radius r = 7.67 cm  = 0.0767 m Time period T = 60 s  Angular velocity w = 2π/T       = 2 π /60…

Q: Express your answer in radians per second. Under some circumstances, a star can collapse into an…

A:

Q: A small polished glass ball P of mass mrall = 20 g moves on the inside smooth surface of a spherical…

A:

Q: A bowling ball, whose radius R is 11cm and whose mass is 7.2Kg, roll from rest down a plank whose…

A:

Q: A massless spring of constant k = 88.2 N/m is fixed on the left side of a level track. A block of…

A: The spring constant is, k=88.2 N/m.The mass of block is, m=0.50 kg.The coefficient of kinetic…

Q: Calculate the weight of the solid generated by the line segment bounded by points A (1, 4) m and B…

A:

Q: Mars has a mass of 6.417*1023 kg, a radius of 3390 km, and a rotation period of 24.62 hours. (a)…

A: Given Data: The mass of Mars is, M=6.417×1023 kg The radius of Mars is, R=3390 km The rotation…

Q: Your answer is partially correct. A pulsar is a rapidly rotating neutron star that emits a radio…

A:

Q: A solid ball ( I = 2/5 mr2 ) a mass of 2 kg and a radius of 4 cm is rolling (moves both…

A: Given: The mass of the sphere is 2 kg. The radius of the sphere is 4 cm. The height of the inclined…

Q: Using air pressure, the 1.1-kg ball forced to move through the tube lying in the horizontal plane…

A:

Q: A 1.08 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless…

A:

Q: A small trolley of mass 2.0 kg resting on a horizontal frictionless turntable is connected by a…

A:

Q: A solid ball of radius 6.0 cm is initially smoothly 10 m/s along a horizontal floor. It then rolls…

A:

Q: m2 frictionless pulley Στ=Ια T, T, I=-Mr 2 M a = alr M3 TA 370 M m, T m4

A: The mass m1 is heavier than the mass m4, therefore, the heavier mass will be going downward with…

Q: A 215-g pendulum with a massless cord of length r = 1.00 m swings in a vertical plane (see figure).…

A: Given data: Mass of the pendulum is, m= 215 g Length of the pendulum is, L = 1.00 m Speed of the…

Q: If we have a body moving with an amplitude of 8 cm and a frequency of 1.25 hertz, then its angular…

A: The amplitude of the body is given as, A=8 cm (or) A=0.08 m. The frequency of the body is given as,…

Q: Two blocks of mass mA=6.8kg and mg=9kg are attached to the ends of a massless string which passes…

A: