m has a velocity of vx kinetic energy

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4G+
10:28 AM
Vo
LTE
25
•..
e CA2
[Z
Below are six questions.attempt all.
8. A particle of m has a velocity of vx i +vy j + vzk.
Is
its
kinetic
energy
given
by
2
m(vx i +vy² j+vz²kV2? If not, what is the coIrect
expression?
10. A person drops a pebble of mass m1 from a height
h, and it hits the floor with kinetic energy K. The person
drops another pebble of mass m, from a height of 2h, and
it hits the floor with the same kinetic energy K. How do the
masses of the pebbles compare?
12. Work done on a system puts energy into it. Work done
by a system removes energy from it. Give an example for
each statement.
What conditions must be met to produce SHM?
2. (a) If frequency is not constant for some oscillation, can
the oscillation be SHM? (b) Can you think of any examples
of harmonic motion where the frequency may depend on
the amplitude?
21. Prove that using x(t) = Asin(mt + ¢) will produce the
same results for the period for the oscillations of a mass
and a spring. Why do you think the cosine function was
chosen?
Transcribed Image Text:4G+ 10:28 AM Vo LTE 25 •.. e CA2 [Z Below are six questions.attempt all. 8. A particle of m has a velocity of vx i +vy j + vzk. Is its kinetic energy given by 2 m(vx i +vy² j+vz²kV2? If not, what is the coIrect expression? 10. A person drops a pebble of mass m1 from a height h, and it hits the floor with kinetic energy K. The person drops another pebble of mass m, from a height of 2h, and it hits the floor with the same kinetic energy K. How do the masses of the pebbles compare? 12. Work done on a system puts energy into it. Work done by a system removes energy from it. Give an example for each statement. What conditions must be met to produce SHM? 2. (a) If frequency is not constant for some oscillation, can the oscillation be SHM? (b) Can you think of any examples of harmonic motion where the frequency may depend on the amplitude? 21. Prove that using x(t) = Asin(mt + ¢) will produce the same results for the period for the oscillations of a mass and a spring. Why do you think the cosine function was chosen?
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