Position of paul with respect to john is given as
14 m due west of john

position of George with respect to Paul is given as 36 m in direction 37 degree south of east

now we need to find the position of George with respect to John
![r_{GJ} = r_G - r_j[\tex]now for the above equation we can add the two equations[tex]r_{Gj} = -14\hat i + 36 cos37\hat i - 36sin37\hat j](https://tex.z-dn.net/?f=r_%7BGJ%7D%20%3D%20r_G%20-%20r_j%5B%5Ctex%5D%3C%2Fp%3E%3Cp%3Enow%20for%20the%20above%20equation%20we%20can%20add%20the%20two%20equations%3C%2Fp%3E%3Cp%3E%5Btex%5Dr_%7BGj%7D%20%3D%20-14%5Chat%20i%20%2B%2036%20cos37%5Chat%20i%20-%2036sin37%5Chat%20j)

so the magnitude is given as

and direction is given as

<em>so it is 26.2 m at an angle 55.75 degree South of east</em>
Without friction, the amount of work only depends on the final height,
and is not affected by the route used to get there.
If the ramp has no friction, then it has no effect on the total amount
of work done. The work to lift the load straight up is the same.
If the ramp has some friction, then it takes more work to use the ramp
than to lift the load straight up. Then the work to lift the load straight up
would be less than when the ramp is used.
the car's friction is reduced to zero
the car's centripetal force drops to zero
the car continues in a straight path from the point at which it encountered the ice
Answer:
42.11 years old
Explanation:
Given that:
In 2000, a 20-year-old astronaut left Earth to explore the galaxy; her spaceship travels at 2.5 x 10^8 m/s. She returns in 2040
To find her age we use:

Δtm is time interval for the observer stationary relative to the sequence of
events = 2040 - 2000 = 40 years
Δts is is the time interval for an observer moving with a speed v relative to the sequence of event
v = velocity = 2.5 x 10^8 m/s
c = speed of light = 3 x 10^8 m/s

Here age in 2000 is 20 year, therefore when she appear she would be 20 year + 22.11 year = 42.11 years old
Answer:
The centripetal force is provided by the x component of the Normal Force.
Explanation:
The centripetal force is a force that makes something to follow a cicular trayectory, this force is always oriented to the center of the circunferency-
So you can see in the image that i attached there is only two forces actting on the car, the normal force and the weigth, and as you can see the y component of the normal force cancels with the weigth, but the x component of the normal force (as it has nothing to cancel with) makes the car follow the circular trayectory so this is the centripetal force.