Question

Suppose such a ship has a mass of 2.00×106kg and carries a mass of fuel equal to 3 % of its mass, or 3.00×10^4kg of matter, and an equal mass of antimatter.

What is the final speed of the ship, assuming it starts from rest if all energy released in the matter-antimatter annihilation is transformed into the kinetic energy of the ship? Express your answer with the appropriate units.

Answer #1

Suppose a spaceship has the mass of a typical ocean cruise ship,
then it can be assumed that it has a mass of 3.3 × 108
kg. Consider the kinetic energy required at 17 % of the speed of
light. If energy to get a spaceship to cruising speed is generated
using matter-antimatter annihilation, what mass of antimatter in kg
is required?
Hint: Matter-antimatter annihilation converts an entire mass of
matter and antimatter into pure energy with no loss.

A space ship that is out of fuel is traveling through space with
a speed 10 m/s. The total mass of the space ship
and its empty fuel tank is 900 kg. What is the momentum of the
space ship (with the empty fuel tank attached)? What is the total
kinetic energy of the space ship (with the empty fuel tank
attached)? Since there is no more fuel, the 200 kg fuel tank is
disconnected and released in the opposite...

. A block of mass 2.00 kg is attached to a horizontal spring
with a force constant of 500 N/m. The spring is stretched 5.00 cm
from its equilibrium position and released from rest. Use
conservation of mechanical energy to determine the speed of the
block as it returns to equilibrium
(a) if the surface is frictionless
(b) if the coefficient of kinetic friction between the block and
the surface is 0.350

A block with mass 3.10 kgkg is attached
to a vertical spring that has negligible mass and force constant
895 N/mN/m . The spring initially is relaxed and in equilibrium.
The block is released from rest.
a) What is its speed after it has descended 0.0500 mm from its
initial position?
Express your answer with the appropriate units.
b) What is the maximum speed of the block as it descends?
Express your answer with the appropriate units.

A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg
starts with a purely translational speed of 1.25 m/s at the top of
an inclined plane. The surface of the incline is 1.00 m long, and
is tilted at an angle of 25.0 ∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed v 2 at the bottom
of the ramp.

One particular neutron star has a mass equal to 3.00 times the
mass of the sun. You may consider this neutron star to be a sphere
with a uniform density of 3.30×1017 kg/m3 !!
......compare that to the density of lead for example, at
1×104 kg/m3 . (A neutron star is created when a massive
star runs out of hydrogen fuel and collapses at the end of its
life. The neutron star is a very dense and spins rapidly). If...

An airplane propeller is 2.00 m in length (from tip to tip) with
mass 99.0 kg and is rotating at 2900 rpm (rev/min) about an axis
through its center. You can model the propeller as a slender
rod.
What is its rotational kinetic energy?
Suppose that, due to weight constraints, you had to reduce the
propeller's mass to 75.0% of its original mass, but you still
needed to keep the same size and kinetic energy. What would its
angular speed...

Write the kinetic, potential and total energy of a baseball
having a mass of 0.145kg held at rest 10 meters above the ground.
The baseball is released. Under the influence of gravity on Earth,
it freefalls to the ground. Assuming the air resistance is
negligible, write the kinetic, potential and total energy of the
baseball at the instant when the baseball hits the earth. What is
the baseball’s final speed when it impacts the ground using the
principles of Energy...

Suppose a rocket ship in deep space moves with constant
acceleration equal to 9.8 m/s2, which gives the illusion
of normal gravity during the flight.
(a) If it starts from rest, how long will it take to acquire a
speed 0.21 times that of light, which travels at 3.0 ✕
108 m/s?
i got 6.43e6 s
(b) How far will it travel in so doing? i cannot get this right.
it is also asking in km.

Suppose a star of mass M at the end of its evolution collapses
into a white dwarf, losing half its mass. In the cataclysmic end
process the mass thrown off carries no angular momentum, but the
core collapses to 1.0% of the original size of the star.
a. If the original star rotated at a rate of once per 30 days,
what would its new rotation rate be?
b.
What would be the ratio of its final rotational kinetic energy...

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