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Elodia [21]
3 years ago
10

On a planet whose radius is 1.1 x 10^7 m, the acceleration due to gravity is 41 m/s^2. What is the mass of the planet (in kg)?

Physics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

M = 7.43×10^25 kg

Explanation:

let the mass of the planet be M and r be the radius of the planet and g be the gravitational acceleretion.

then:

the gravitational acceleration is given by:

g = G×M/(r^2)

M = g×r^2/G

   = [(41)×(1.1×10^7)^2]/(6.67408×10^-11)

   = 7.43×10^25 kg

therefore, the mass of the planet is 7.43×10^25 kg.

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A gas hot water heater is 65% efficient. The energy output to heat the water is 2.3 kWh.
Art [367]

Answer:

3.5 kWh

1.2 kWh are lost

Explanation:

65=2.3/Ein*100

0.65=2.3/Ein

Ein=2.3/.65

Ein=3.5

3.5-2.3=1.2 kWh

7 0
3 years ago
An object is thrown upward from the top of a 144​-foot building with an initial velocity of 128 feet per second. The height h of
ankoles [38]

Answer:

After 9 seconds the object reaches ground.

Step-by-step explanation:

We equation of motion given as h = -16t²+128t+144,

We need to find in how many seconds will the object hit the ground,

That is we need to find time when h = 0

                        0 = -16t²+128t+144

                       16t²-128t-144= 0

                       t=\frac{-(-128)\pm \sqrt{(-128)^2-4\times 16\times (-144)}}{2\times 16}\\\\t=\frac{128\pm \sqrt{25600}}{32}\\\\t=\frac{128\pm 160}{32}\\\\t=9s\texttt{ or }t=-1s

Negative time is not possible, hence after 9 seconds the object reaches ground.

8 0
2 years ago
Options: A.) 10 N B.) 15 N C.) 25 N D.) 35N
Lady_Fox [76]

Given:

F_gravity = 10 N

F_tension = 25 N

Let's find the net centripetal force exterted on the ball.

Apply the formula:

\sum ^{}_{}F_{\text{net}}=F_1+F_2=F_{centripetal}

From the given figure, the force acting towards the circular path will be positive, while the force which points directly away from the center is negative.

Hence, the tensional force is positive while the gravitational force is negative.

Thus, we have:

F_{\text{net}}=F_{\text{centripetal}}=F_{tension}-F_{gravity}=25N-10N=15N

Therefore, the net centripetal force exterted on the ball is 15 N.

ANSWER:

15 N

7 0
10 months ago
Please help!! This is a final and I need a good grade
Ket [755]
Diagram 4 is the correct answer.


6 0
3 years ago
What is the frequency of a microwave of wavelength 3cm?
navik [9.2K]

Frequency = (speed) / (wavelength)

Speed = 3 x 10⁸ m/s

Wavelength = 3 cm = 0.03 m

Frequency = (3 x 10⁸  m/s) / (0.03 m)

Frequency = (3 x 10⁸ / 0.03) (m / m-s)

Frequency =  1 x 10¹⁰ Hz (10 Gigahertz)

5 0
3 years ago
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