Question

Related Rates: Iwhn the theory of relativity, an object that is travelling at an appreciable fraction of the speed of light has kinetic energy equal to mc^2((c/(sqrt(c^2-v^2)))-1) where m is the mass of the object, v its speed, and c is the speed of light (which is a constant). A miniture super rocket has a mass of 2kg and is currently travelling at 1/2 of the speed of light. It magically converts its mass into speed (conventional rockets do this by burning rocket fuel, which both pushes them forward and makes them lighter) so that its kinetic energy stays exactly the same. If the rocket wants to accelerate at 0.1c/second, how fast must it change mass?

Answer #1

Relativity Problem 8:
In several examples in this section of the course, we have spoken
about rockets or trains traveling at significant fractions of the
speed of light. If electrical energy costs around $0.06 per 106 J,
what would it cost to accelerate an electric train with a mass of
about 100,000 kg to a speed of 3 ? ? 5
Relativity Problem 9:
Suppose that somewhere in deep space a rock with mass ?1 = 12 kg is
moving...

1. What is the weight of a 1.2kg mass on Earth?
2. How much potential energy is given to a 1.0kg mass when
raising it up 1.0 meters (on Earth)?
3. If a 1000kg car doubles its speed from 2m/s to 4m/s, by what
factor does its kinetic energy increase?
4.An athlete pushes a 2kg shot put with 20N of force during a
throw. How much does it accelerate?
please don't hand write the answers.

Kinetic energy is the energy contained in an object because of its
relative velocity to an observer. It is calculated quite easily as:
E = 12 m v 2
where m is the mass (in kg); v is speed (in m/s) and E is the
energy (in joules).
What is the energy of impact of a comet made of ice (density
is 1000 kg/m3) if it has a radius of 1 km and strikes the Earth at
30 km/s. Give...

Answer the following with brief explanation and
readable solution if possible.
1.) 2kg object moves at 2m/s. Its kinetic energy is
___. And its momentum is ___.
2.)A railroad car with no roof is travelling along a
horizonta l track in pouring rain. As the car is filled with water,
its speed will ___.
A. increase
B. decrease
C. stay the same
This is in accordance with the principle of ___.
D. Inertia
E. Momentum conservation
F. Impulse and momentum....

1)A object is released from rest from a height of 1.8 m and
moves down the incline as shown. What is the angular speed of the
object when it reaches the horizontal surface? (ignore the
rotational kinetic energy, friction force, drag force).The mass of
the object is 50.0 kg. a)5.9 m/s b)3.3 m/s c) 2.5 m/s d)1.8 m/s
2) a 5.0 kg bird, accelerating from rest at a constant rate,
experiences a displacement of 28 m in 11 seconds. What...

Question 1 (1 point)
Which is not necessary in order to do work on an object (use the
scientific definition of work)?
Question 1 options:
There must be a change in momentum.
A net force must be applied to the object.
The object must undergo a displacement.
A component of the force must be in the direction of motion.
Question 2 (1 point)
The change in gravitational potential energy for a 1.9 kg box
lifted 2.2 m is:
Question 2...

8 through 10 done please!!
3.13.6
Question 110 pts
A 319 kg motorcycle is parked in a parking garage. If the car has
35,494 J of potential energy, how many meters above ground is the
car? Report your answer to 1 decimal place. Please do not include
units or the answer will be marked incorrect.
Flag this Question
Question 210 pts
A box sitting on the top of a hill has 252 J of potential energy.
If the hill is...

just do questions 5 through 10
3.13.6
Question 110 pts
A 319 kg motorcycle is parked in a parking garage. If the car has
35,494 J of potential energy, how many meters above ground is the
car? Report your answer to 1 decimal place. Please do not include
units or the answer will be marked incorrect.
Flag this Question
Question 210 pts
A box sitting on the top of a hill has 252 J of potential energy.
If the hill...

answer all questions
3.13.6
Question 110 pts
A 319 kg motorcycle is parked in a parking garage. If the car has
35,494 J of potential energy, how many meters above ground is the
car? Report your answer to 1 decimal place. Please do not include
units or the answer will be marked incorrect.
Flag this Question
Question 210 pts
A box sitting on the top of a hill has 252 J of potential energy.
If the hill is 279 meters...

21) A person carries a 25.0-N rock through the path shown in the
figure, starting at point A and ending at point B. The total time
from A to B is 1.50 min. How much work did gravity do on the rock
between A and B?
A) 625 J
B) 20.0 J
C) 275 J
D) 75 J
E) 0 J
22) A person carries a 2.00-N pebble through the path shown in
the figure, starting at point A and...

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