Question

a) Use Newton's three laws of motion to show that conservation of momentum.

b) Use the conservation of momentum to find the velocity of a
rocket as it blasts off from the surface of the Earth to a low
Earth orbit. The initial velocity is v_{i} = 0. Assume
constant gravity.

Answer #1

VERY IMPORTANT
Using the Newton's laws of motion (use both of them).
Find/derive an expression for the coefficient of static friction
and show your derivation.
You basically need to solve the two equations of newton's laws
of motion to find the coefficient of static friction.
(Hint: if the block is not sliding, and remains not sliding,
what is the acceleration?)

Revisiting the ballistic pendulum. In lab we used both
conservation of momentum and conservation of energy to relate the
launch speed of a projectile to the maximum height of the swing of
a pendulum. Here we will study the parts of this problem in a bit
more detail.
(a) Briefly explain why momentum is conserved during the
collision of the projectile and the pendulum, but mechanical energy
is not conserved.
(b) Briefly explain why mechanical energy (kinetic plus
potential energy)...

In this problem, you are going to explore three different ways
to determine the gravitational constant G.
Part (a) By observing that the centripetal
acceleration of the Moon around the Earth is ac
= 2.65 × 10-3 m/s2, what is the gravitatonal
constant G, in cubic meters per kilogram per square
second? Assume the Earth has a mass of ME =
6.02 × 1024 kg, and the mean distance between the
centers of the Earth and Moon is rm =...

To use Newton's 2nd law as well as energy conservation for a
vertical mass-spring
A proud deep-sea fisherman hangs a 65.0-kgkg fish from an ideal
spring having negligible mass. The fish stretches the spring from
its initial equilibrium position until it comes to a new
equilibrium position, which is 0.120 mm below the initial
equilibrium position.
a)Draw a force diagram of the fish at its new equilibrium
position. Then use Newton's 2nd law to solve for the spring
constant of...

Use an impulse of torque and conservation laws to calculate the
right location along a baseball bat to contact the ball when
swinging. If you grip the handle of the bat a distance b
away from the center of mass, you're trying to find how far
b' on the other side of the center of mass you should make
contact with the ball. The physics is more complicated if your
swinging the bat, but this calculation is easiest if you...

Use the conservation of energy and find the equation of motion
for the modified version of the first problem from last week for
mass M1 at point P in terms of the angle ϑ. Consider both pulleys
to be massless and x to remain constant. Both masses only move in
the vertical direction. The total length of the rope is fixed.
Assume the springs are un-stretched when mass M2 is touching the
ground.

Problem: Orbital Mechanics
A spaceship is waiting for launch at the Kennedy Space Center
(Located at Latitude 28.52o North of the Equator) . The spaceship
has a mass of m = 2000 kg.
a) What is the gravitational potential energy the spaceship has
sitting and waiting for launch.
b) What is the kinetic energy the spaceship has sitting and
waiting (calculate K relative to the center of the earth).
c) The spaceship is attached to rockets that are going to...

Questions (use complete sentences)
1) What is a conservation law? What is the basic approach taken
when using a conservation law?
2) Could the linear momentum of a turtle be greater than the
linear momentum of a horse? Explain.
3) Carts A and B stick together whenever they collide. The mass
of A is twice that of B. How could you roll the carts so that they
would be stopped after a collision?
4) How can a satellite’s speed decrease...

Q1)At the surface of Jupiter's moon Io, the acceleration due to
gravity is 1.81 m/s2 . A watermelon has a weight of 47.0 N at the
surface of the earth. In this problem, use 9.81 m/s2 for the
acceleration due to gravity on earth.
a-What is its mass on the earth's surface?
b-What is its mass on the surface of Io?
c-What is its weight on the surface of Io?
----------------------------------------------------------------------
Q2)The upward normal force exerted by the floor is...

EXAMPLE 6.4A Truck Versus a Compact
GOAL Apply conservation of momentum to a one-dimensional inelastic
collision.
PROBLEM A pickup truck with mass 1.80 103 kg is traveling eastbound
at +15.0 m/s, while a compact car with mass 9.00 102 kg is
traveling westbound at −15.0 m/s. (See figure.) The vehicles
collide head-on, becoming entangled. (a) Find the speed
of the entangled vehicles after the collision.
(b) Find the change in the velocity of each
vehicle. (c) Find the change in...

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