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3 years ago

If an antelope can run 14.1 km in 39 min, how fast is it km/h(for reference , 110 km/h is 65 mph )

Physics

2 answers:

shtirl [24]3 years ago

8 0

It might make more sense putting it another way but this is basically it. you just take the minutes and divide them by 60 to convert them to hours. then simplify the ratio

adelina 88 [10]3 years ago

3 0

Should be 21.7 km/hr. Convert minutes to hours by dividing 39/60. then divide 14.1 by .65 which is 39 minutes converted to hours.

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One recently discovered extrasolar planet, or exoplanet, orbits a star whose mass is 0.70 times the mass of our sun. This planet

Stels [109]

0.078 times the orbital radius r of the earth around our sun is the exoplanet's orbital radius around its sun.

Answer: Option B

Explanation:

Given that planet is revolving around the earth so from the statement of centrifugal force, we know that any

$\frac{G M m}{r^{2}}=m \omega^{2} r$

The orbit’s period is given by,

$T=\sqrt{\frac{2 \pi}{\omega r^{2}}}=\sqrt{\frac{r^{3}}{G M}}$

Where,

$T_{e}$ = Earth’s period

$T_{p}$ = planet’s period

$M_{s}$ = sun’s mass

$r_{e}$ = earth’s radius

Now,

$T_{e}=\sqrt{\frac{r_{e}^{3}}{G M_{s}}}$

As, planet mass is equal to 0.7 times the sun mass, so

$T_{p}=\sqrt{\frac{r_{p}^{3}}{0.7 G M_{s}}}$

Taking the ratios of both equation, we get,

$\frac{T_{e}}{T_{p}}=\frac{\sqrt{\frac{r_{e}^{3}}{G M_{s}}}}{\sqrt{\frac{r_{p}^{3}}{0.7 G M_{s}}}}$

$\frac{T_{e}}{T_{p}}=\sqrt{\frac{0.7 \times r_{e}^{3}}{r_{p}^{3}}}$

$\left(\frac{T_{e}}{T_{p}}\right)^{2}=\frac{0.7 \times r_{e}^{3}}{r_{p}^{3}}$

$\left(\frac{T_{e}}{T_{p}}\right)^{2} \times \frac{1}{0.7}=\frac{r_{e}^{3}}{r_{p}^{3}}$

$\frac{r_{e}}{r_{p}}=\left(\left(\frac{T_{e}}{T_{p}}\right)^{2} \times \frac{1}{0.7}\right)^{\frac{1}{3}}$

Given $T_{p}=9.5 \text { days }$ and $T_{e}=365 \text { days }$

$\frac{r_{e}}{r_{p}}=\left(\left(\frac{365}{9.5}\right)^{2} \times \frac{1}{0.7}\right)^{\frac{1}{3}}=\left(\frac{133225}{90.25} \times \frac{1}{0.7}\right)^{\frac{1}{3}}=(2108.82)^{\frac{1}{3}}$

$r_{p}=\left(\frac{1}{(2108.82)^{\frac{1}{3}}}\right) r_{e}=\left(\frac{1}{12.82}\right) r_{e}=0.078 r_{e}$

7 0

3 years ago

A radio receiver has an effective resistance of 300 Ω to the input signal on the antenna downlead. The signal voltage is 700 µV.

White raven [17]

Answer:

I = 2.33 µA

Explanation:

given,

Effective resistance (R)= 300 Ω

Voltage of signal (V)= 700 µV

current flow in the antenna = ?

Using ohm's law

V = I R

where I is the current flow

$I = \dfrac{V}{R}$

$I = \dfrac{700\times 10^{-6}}{300}$

I = 2.33 x 10⁻⁶ A

I = 2.33 µA

Hence, the current flow in the antenna downloaded is equal to I = 2.33 µA

6 0

3 years ago

Read 2 more answers

Which of the following describes resistance force?

Harman [31]

I am pretty sure that the following which describes resistance force is the fourth option from the scale represented above : D .force applied by the machine to overcome resistance. I choose this due to the Newton's 3rd law, as the force that shoul be overcome by a machine before it perform its usual work. Do hope you will find it helpful! Regards!

4 0

3 years ago

Read 2 more answers

A treasure chest has a mass of 5200g and a volume of 1400ml. Does it float in fresh water. Show your work.

zhuklara [117]

Explanation:

Density = mass / volume

ρ = 5200 g / 1400 mL

ρ = 3.7 g/mL

The treasure chest has a higher density than water (1 g/mL), so it sinks.

6 0

3 years ago

Essay on Outdoor skills

den301095 [7]

Answer and Explanation:

I can't write the essay for you, but I can give you useful tips on what information should be in your essay.

____________________________________

Outdoor skills basically have a similar concept to street smarts. With street smarts, you are knowledgeable in what to do on the streets, how to act, what signs and signals to look out for, and other things like that. With outside smarts, it's the same way. Except, I would say that it is a little less social.

Outside smarts could be something like camping, and surviving in general in the wild, such as:

- Creating a tent or shelter for yourself to sleep in.

- Finding food and knowing whether it is acceptable and safe to eat.

- Making sure that you are in a safe area that is okay for you to camp out in.

- Making sure that you have some sort of protection, whether that would be with a weapon, a tool, or something else.

- Making sure that you have safe water to drink that you brought with you.

- A back-up plan in case there is a reason that you need to leave.

- A first aid kit in case of injury.

- How to create a fire and use it safely.

- A way to get back home, with a plan and possibly even a compass.

____________________________________

I hope that this helps.

7 0

2 years ago