Question

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 × 10^{8}
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.

Answer #1

2
Suppose we have a spaceship about the size of a typical ocean
cruise ship today, which
means it has a mass of about 100 million kilograms, and we want
to accelerate the ship to a
speed of 10% of the speed of light.
A)
How much energy would be required? (Hint: The spaceship’s speed
is small compared to
the speed of light, so the kinetic energy of the spaceship will
be .(1/2) *m *v^2
B)
In one...

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.

A large cruise ship of mass 6.00 ✕ 107 kg has a speed of 10.2
m/s at some instant.
(a) What is the ship's kinetic energy at this time?
______J
(b) How much work is required to stop it? (Give the work done on
the ship. Include the sign of the value in your answer.)
______J
(c) What is the magnitude of the constant force required to stop
it as it undergoes a displacement of 3.60 km?
______N

A large cruise ship of mass 6.00 ✕ 107 kg has a speed
of 12.8 m/s at some instant.
(a) What is the ship's kinetic energy at this time?
J
(b) How much work is required to stop it? (Give the work done on
the ship. Include the sign of the value in your answer.)
J
(c) What is the magnitude of the constant force required to stop it
as it undergoes a displacement of 3.90 km?
N

a) A cruise ship with a mass of 1.00×107 kg strikes a pier at a
speed of 0.750 m/s. It comes to rest 6.00 m later, damaging the
ship, the pier, and the tugboat captain’s finances. Calculate the
average force exerted on the pier using the concept of impulse.
(Hint: First calculate the time it took to bring the ship to
rest.)
b) The force of the water sloshing near the pier is enough to
push the ship back. After...

Chapter 05, Problem 090 An interstellar ship has a mass of 8.43
× 106 kg and is initially at rest relative to a star system. (a)
What constant acceleration is needed to bring the ship up to a
speed of 0.084c (where c is the speed of light, 3.0 × 108 m/s)
relative to the star system in 2 days? (b) What is that
acceleration in g units (enter the answer in the form N g, where N
is a...

Chapter 05, Problem 090 An interstellar ship has a mass of 8.43
× 106 kg and is initially at rest relative to a star system. (a)
What constant acceleration is needed to bring the ship up to a
speed of 0.084c (where c is the speed of light, 3.0 × 108 m/s)
relative to the star system in 2 days? (b) What is that
acceleration in g units (enter the answer in the form N g, where N
is a...

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...

1. A 25 kg skydiver has a speed of 20 m/s at an altitude of 350
m above the ground. Determine the kinetic energy possessed by the
skydiver.
2. If a cruise ship travels 150 km to the south and then 250 km to
the west, what is the ship’s displacement from its starting
point?
3. A train is accelerating at a rate of 5 m/s . If its initial
velocity is 15 m/s, what is its speed after 10...

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