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daser333 [38]
3 years ago
6

Two cylindrical space stations, the second four times the diameter of the first, rotate so as to provide the same amount of arti

ficial gravity. If the first station makes one rotation in the time T, then the second station makes one rotation in time A. T/4 B. 2T C. 4T D. 16T
Physics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

B. T1 = 2T2

Explanation:

Given

r2 = 4r1

In this case, the centripetal forces must be equal (a1 = a2) for a person on the inside of the outer wall to feel the same amount of artificial gravity.

For a uniform circular motion, v = 2πr/T

Since a1 = a2 and a = v²/r

Then

(v1)²/r1 = (V2)²/r2

(2πr1/T)²/r1 = (2πr2/T)²/r2

4π(r1)²/(r1T1²) = 4π(r2)²/(r2T2²) ---- divide both sides by 4π

(r1)²/r1T1² = (r2)²/r2T2²

r1/T1² = r2/T2²----- make T2 the subject of formula

T2² = r2 * T1²/r1 ---- Square root both sides

T2 = T1√(r2/r1)

Substitute 4r1 for r2

T2 = T1√(4r1/r1)

T2 = T1√4

T2 = 2T1

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A projectile is launched at an angle of 30° from the horizontal and lands 69 s later at the same height from which it was launch
RideAnS [48]

Answer:

679.2 m/s

Explanation:

The formula for the time of flight of a projectile is given as,

T = 2usinФ/g ......................... Equation 1

Where T = Time of flight, u = initial velocity, Ф = angle of projectile to the horizontal, g = acceleration due to gravity.

make u the subject of the equation

u = Tg/2sinФ....................... Equation 2

Given: T = 69 s, Ф = 30°

Constant: g = 9.8 m/s²

Substitute into equation 2

u = (69×9.8)/(2×sin30)

u = 679.2 m/s.

Hence the initial speed of the projectile is 679.2 m/s

5 0
3 years ago
In higher mass stars, repeating cycles of fusion will create heavier elements in layers
love history [14]
The element is iron.
4 0
3 years ago
A sample of gas is enclosed in a container of fixed volume. Identify which of the following statements are true. Check all that
motikmotik

Answer:

B. If the container is cooled, the gas particles will lose kinetic energy and temperature will decrease.

C. If the gas particles move more quickly, they will collide more frequently with the walls of the container and pressure will increase.

E. If the gas particles move more quickly, they will collide with the walls of the container more often and with more force, and pressure will increase.

#FreeMelvin

7 0
4 years ago
If the dielectric constant is 14.1, calculate the ratio of the charge on the capacitor with the dielectric after it is inserted
Lady bird [3.3K]

Answer:

\frac{Q}{Q_0}=1

Explanation:

Capacitance is defined as the charge divided in voltage.

C=\frac{Q}{V}(1)

Introducing a dielectric into a parallel plate capacitor decreases its electric field. Therefore, the voltage decreases, as follows:

V=\frac{V_0}{k}

Where k is the dielectric constant and V_0 the voltage of the capacitor without a dielectric

The capacitance with a dielectric between the capacitor plates is given by:

C=kC_0

Where k is the dielectric constant and C_0 the capacitance of the capacitor without a dielectric. So, we have:

Q=CV\\Q=kC_0\frac{V_0}{k}\\Q=C_0V_0\\Q_0=C_0V_0\\Q=Q_0\\\frac{Q}{Q_0}=1

Therefore, a capacitor with a dielectric stores the same charge as one without a dielectric.

7 0
3 years ago
An object has a kinetic energy of 88 J and a mass of 45 kg, how fast is the object moving?
telo118 [61]

1.21 (this needs twenty so i have to write so yeah deal with it)

5 0
3 years ago
Read 2 more answers
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