Which of these physical settings makes sense for an object moving along the x-axis? Its position at any time is given by x(t) = 3cos(π t) + 2a. A skydiver falling from a plane, before she opens her parachute.
b. The shadow cast by a rock that's stuck on the edge of a spinning wheel.
c. A car driving from San Diego to Los Angeles.
d. An ant walking at a steady pace from the tip of a propeller toward the hub.
e. None of these settings.

Answers

Answer 1
Answer:

Answer:

option b is correct.

Explanation:

Since the position as a function of time is given by

x(t)=3cos(\pi t)+2 which is a periodic function thus the motion of the particle repeats after a time of 2 seconds thus among the given options only option b is case of repetitive motion thus option b is most appropriate since the spinning wheel repeates it's motion.


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Using a good pair of binoculars, you observe a section of the sky where there are stars of many different apparent brightnesses. You find one star that appears especially dim. This star looks dim because it is:_______.

Answers

Answer:

Using a good pair of binoculars, you observe a section of the sky where there are stars of many different apparent brightnesses. You find one star that appears especially dim. This star looks dim because it is farther away or it has a small radius.

Explanation:

Apparent magnitude in astronomy is the apparent brightness of a star that is seen from the Earth, that brightness can variate according to the distance at which the star is from the Earth or due to its radius.

That can be demonstrate with the next equation:

F = (L)/(4\pi r^2) (1)

Where F is the radiant flux received from the star, L its intrinsic luminosity and r is the distance.

For example, an observer sees two motorbikes approaching it with its lights on but one of the motorbikes is farther, so the light of this one appears dimmer, even when the two lights emit the same amount of energy per second.  

That is because the radiant flux decreases with the square distance, as can be seen in equation 1.

In the other hand, a bigger radius means that the gravity in the surface of the star will be lower, allowing that light can escape more easily:

g = (GM)/(R^2) (2)

Where g is the surface gravity in the star, G is the gravitational constant, M is the mass of the star and R is the radius of the star.

Okay i'm totally stuck and nobody I know really gets it either, so i've turned to Yahoo for help :) Basically there are four aliens on a planet. They want to go on a sea-saw. The end seats on the sea-saw are 2m from the pivot, and the middle seats are 1m from the pivot. The Aliens way 400N, 300N, 200N and 100N - which two can sit on the sea-saw (on any of the seats) and make it balance? It'd be a huge help if you at least help me work out the answer! :)

Answers


Here is the rule for see-saws here on Earth, and there is no reason
to expect that it doesn't work exactly the same anywhere else:

                     (weight) x (distance from the pivot) on one side
is equal to
                     (weight) x (distance from the pivot) on the other side.

That's why, when Dad and Tiny Tommy get on the see-saw, Dad sits
closer to the pivot and Tiny Tommy sits farther away from it.

       (Dad's weight) x (short length) = (Tiny Tommy's weight) x (longer length).


So now we come to the strange beings on the alien planet.
There are three choices right away that both work:

#1).
(400 N) in the middle-seat, facing (200 N) in the end-seat.

       (400) x (1)  =    (200) x (2)

#2).
(200 N) in the middle-seat, facing (100 N) in the end-seat.

       (200) x (1)  =    (100) x (2)

#3).

On one side:  (300 N) in the end-seat       (300) x (2) = 600

On the other side:
                      (400 N) in the middle-seat  (400) x (1) = 400
           and     (100 N) in the end-seat      (100) x (2) = 200
                                                    Total . . . . . . . . . . . . 600 


These are the only ones to be identified at Harvard . . . . . . .
There may be many others but they haven't been discarvard.


400N and 100N on one side and 300N and 200N on the other side

Explain the difference between mass and weight for objects on earth and on the mooon

Answers

Explanation:

The amount of matter contained inside a body is called its mass while the weight of a body is the gravitational force with which it is attracted towards the earth.

Weight, W = mg

m is the mass and g is acceleration due to gravity  

The mass of the object on the moon remains the same but the weight of the body is reduced to one sixth. This is because the moon's gravity is less than the earth's gravity.            

Hence, this is the main difference in the weight of the object on the earth and on the moon.                                    

Mass stays the same no matter what, weight however is affected by gravity and will be different on the moon than on earth.

You and your friends decide that it would be fun to push a rusty old mining cart down a track. If you push it at 3.1 m/s and friction causes it to accelerate at -0.3 m/s², how long will it roll before it stops?

Answers