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
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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 = π΄ππ(ππ₯βππ) is a solution to the ππβπΓΆππππππ equation, where π = 2π π πππ π = 0.
The wave function of a quantum particle of mass m is π (π₯) = π΄ cos(ππ₯) + π΅ sin(ππ₯) where π΄, π΅ πππ π are constants. (a) Assuming the particle is free (π = 0), show that π (π₯) is a solution of the ππβπΓΆππππππ 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?