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A 2.00-kg block is given an initial speed of 2.50 m/s up a plane inclined 15.0° with the horizontal.

The coefficient of kinetic friction between block and plane is 0.250. What speed does it have just as

it returns to its initial position?


The mass m1 of one of the small spheres of a cavendish balance is 0.01kg,the mass m2 of the nearest large sphere is 0.50kg and the centre to centre distance between them is 0.05m.find the gravitational force on each sphere due to other.



A valve box casting of mass 30 kg is secured to the faceplate of a lathe in such a position that its



center of gravity is 100 mm radially from the center of rotation and 115mm axially from the surface



of the surface of the faceplate. Calculate the radius @ which to fix a counterbalance of 13 kg.




A boulder of mass 100 kg is pulled in some direction with a net force whose components are


A.

B.

C.

D.

= 100 N, 𝐹 = 200 N.


A 10 g bullet travels horizontally at 2000 m•s-¹ passung through a 2kg pendulum which then moves initially horizontally at 4m•s-¹. Assume that the pendulum loses no mass as the bullet moves through it. Calculate the final speed of the bullet.

A sodium surface is illuminated with light of wavelength 0.300 mm. The work function for sodium is 2.46 eV. Calculate

(a) the energy of each photon in electron volts,

(b) the maximum kinetic energy of the ejected photoelectrons, and

(c) the cutoff wavelength for sodium.


. List some ways our day-to-day lives would change if the speed of light were only 30 m/s.


. If astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree.

    (a) How much time passes on the astronauts’ clocks?

    (b) What is the distance to Alpha Centauri as measured by the astronauts?


A particle is described by a position Q (2.5, π/3, 6) in a cylindrical coordinate, determine the position of the particular Cartesian coordinate


A solid rigid body rotating about an axis has a mass of 20kg and a radius of 2m from the axis of rotation. If the angular velocity is 25 rad/s,calculate the rotational kinetic energy


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