2) Momentum and Newton's Second Law: Impulse
(a) A block of wood is struck by a bullet. Is the block more
likely to be knocked over if the bullet embeds itself in the wood
or bounces back? Explain why. [Hint: in which case is the change in
momentum of the bullet (and hence the force applied by the bullet)
larger?]
(b) A sudden gust of wind exerts a force of 20.0 N for 1.20 s on
a bird that had...
Principle of momentum and linear momentum: A penguin inside a
box (10 Newtons) ascends the inclined plane (π / 3 Radians)
completely smooth due to an impulsive force that gives it an
initial speed of 36 km / h. Calculate the seconds it would take to
come to a complete stop (rest). It is not necessary to know the
magnitude of Impulsive Force F as you can see in your equation of
the principle of impulse and linear momentum (It...
A. Starting from the assumption that angular momentum is
conserved, prove Kepler's second law, the constancy of areal
velocity.
B. Starting from Kepler's first and second laws and Newton's
Universal Law of Gravity, prove Kepler's third law (The Harmonic
Law).
a) What is the angular momentum of the Moon around the Earth?
The Moon mass is 7.40e22 kg and it orbits 3.80e8 meters from the
Earth.
b) And what is the angular momentum of the Earth around the Sun?
Mass of the Earth is 5.98e24 kg and it orbits 1.50el 1 m from the
Sun.
Use the conservation of linear momentum principle to derive one
of the following:
a. The head loss formula for a hydraulic jump
b. The minor loss coefficient for a sudden pipe contraction
Data Table A
Mass of Cart (kg)
Impulse (N.s)
Velocity (m/s)
Momentum (N.s)
Change in Momentum
%
Diff.
Before
After
Before
After
0.2695
+0.351
- 0.673
+0.659
Data Table B
Mass of Cart + mass bar (kg)
Impulse (N.s)
Velocity (m/s)
Momentum (N.s)
Change in Momentum
% Diff.
Before
After
Before
After
0.4695
+0.346
-0.377
+0.372
% Difference= 2×(Change in
momentum-Impulse)(Change in
momentum+Impulse)×100=
Questions
What are possible reasons why the change in momentum is
different from the measured impulse?...
Doing work.
Angular Momentum.
(a) A pencil of
mass m and length l lies at rest on a frictionless table. You push
on it at its midpoint (perpendicular to it), with a constant force
F for a time t. Find the final speed and the distance traveled.
Verify that the work you do equals the final kinetic
energy.
(b) Assume that
you apply the same force F for the same time t as above, but that
you now apply it...