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A space telescope in orbit around the Earth discovers a new planet, which is observed to move around the Sun by an angle of 4.72 milliradians in a year. Assuming a circular orbit, estimate the distance, in A.U., of the planet from the Sun




The velocity v of a wave in a stretched string depends on the tension t in the spring and the mass per unit length coefficient of friction of the spring .Obtain an expression for v in terms of t and coefficient of friction using the method of dimension


A 40.0-kg cannonball leaves a 2.00 x 10^3 kg cannon with a velocity of +8.00 x 10^1 m/s. What is the recoil velocity of the cannon? 





Find the central force necessary to make a particle describe the lemniscate r^2 = a^2 cos 2θ, where a is a constant


A truck off the from rest and cover a distance of 120m on a straight road in 20 second

Calculate the acceleration

A bus leaves the terminal 208 degrees traveling 65 km turned W at 80 km then 60 degrees for 100 km. How far is the bus from the terminal and in what direction?


Two small balls of masses M = 4 kg and m = 2 kg are connected by a horizontal

massless rod of length L = 3 m. The system is rotating with an angular speed

ω = 8 rad/s about an axle at a distance x from the mass M, see Fig. 8.39. Find

the kinetic energy of the system and the net force on each mass: (a) when

x = L/2, (b) when xCM = mL/(M + m); which is the position of the center of

mass of the system.


A bottle opener requires that a force of 25N must be applied to the handle in other to lift a bottle cap 0.90cm the bottle cap has a VR of 800 and an effeciency of 75%. What force is applied to the bottle cap?. How far does the handle of the opener moves?


Explain first law of thermodynamics.


Explain the unit of force.


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