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Consider a vector of magnitude 3 units and in the direction of +X axis.This is followed by another vector 4 units parallel to the +y axis. What is the resultant of the two vectors


Question Link: https://ibb.co/xzWC2Ly


A certain copper ore contains 2 % Cu2S.Β The metallurgical process for recovering elemental

Cu from this ore gives 70 % of the theoretical yield.Β How much Cu is recovered from 2.0 tons of this one?



Show that the wave function πœ“ = 𝐴𝑒𝑖(π‘˜π‘₯βˆ’πœ”πœ„) is a solution to the π‘†π‘β„Žπ‘ŸΓΆπ‘‘π‘–π‘›π‘”π‘’π‘Ÿ equation, where π‘˜ = 2πœ‹ πœ† π‘Žπ‘›π‘‘ π‘ˆ = 0.


The wave function of a quantum particle of mass m is πœ“ (π‘₯) = 𝐴 cos(π‘˜π‘₯) + 𝐡 sin(π‘˜π‘₯) where 𝐴, 𝐡 π‘Žπ‘›π‘‘ π‘˜ are constants. (a) Assuming the particle is free (π‘ˆ = 0), show that πœ“ (π‘₯) is a solution of the π‘†π‘β„Žπ‘ŸΓΆπ‘‘π‘–π‘›π‘”π‘’π‘Ÿ equation. (b) Find the corresponding energy E of the particle.


A body fell through the atmosphere and experienced air resistance. As it fell, it gained 40 J of kinetic energy. How much gravitational potential energy did it lose?


A 10 kg mass needs to be lifted onto a truck that is 1.5 m from the ground. A ramp, 10 m long, was used to get the mass onto the truck. What is the efficiency of the move?


A mass on a spring system has a constant k=400 N/m and a mass m=0.50 kg.

(a) If it is given an initial displacement of 0.25 m and then released, what is the initial

potential energy of the spring?

(b) What is the maximum kinetic energy of the spring?


A simple pendulum that consist of a rock of mass 3.5 kg tied to the end of a (massless) string of

length 1.5 m.

(a) What is the frequency of the pendulum?

(b) What is the period of the pendulum?


The period of oscillation for a mass on a spring system is 0.22 s. If m=3.5 kg, what is the spring

constant of the spring?


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