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2 years ago

Two planets, alice and bob, have the same radius. Alice has a greater density than bob. Which has the higher escape velocity?

Physics

1 answer:

Olenka [21]2 years ago

5 0

Answer:

Since Alice has a greater density it will also have a greater mass

Density = mass / volume

The potential energy at the surface of Alice will be greater and a higher kinetic energy will be required to escape the planet's gravitational pull.

PE = K M / R potential at surface is greater because mass is greater

KE = 1/2 M v^2 greater velocity required to overcome PE

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A biker starts from rest and reaches a speed of 10 m/s after t travelling with

Natali [406]

Answer:

2m/s^2

Explanation:

we can use this formula to get the answer:

(vf - vi) / t = a

Since vf= 10m/s, vi=0m/s, and t=5

We can just substitute the values into the formula to get the result

that is:

(10 - 0) / 5 = 2m/s^2

6 0

3 years ago

Read 2 more answers

Alex swims at an average speed of 45 m/min. How far does he swim in 1 min 24 secs?

ohaa [14]

Answer:

SOLUTION: Alex swim at an average speed of 45 meters per seconds how far does he swim in 1 minutes and 24 seconds. 1 minute and 24 seconds is 84 seconds. If he swims 45 meters every second and he swims for 84 seconds, that means he swims: 45 * 84 = 3780 meters in 1 minute and 24 seconds.

Explanation:

You multiply 45 by 84 and that is equal to 3,780.

3 0

3 years ago

Your friend turns the volume up on their speaker system, so that the sound intensity is 4 times greater than it was beforehand.

erica [24]

Answer:

Explanation:

We know that intensity I = P/A where P = power and A = area through which the power passes through.

Now, let the initial intensity of the speaker be I₀ and its initial power be P₀. Since the intensity is increased by a factor of 4, the new intensity be I and new power be P.

So, I = P/A and I₀ = P₀/A

Now, if I = 4I₀,

P/A = 4P₀/A

P = 4P₀

Now, energy E = Pt, where t = time. So, P = E/t and P₀ = E₀/t

Substituting P and P₀ into the equation, we have

P = 4P₀

E/t = 4E₀/t

E = 4E₀

Since the energy is four times the initial energy, the energy output increases by a factor of 4.

4 0

3 years ago

A 0.22 kg mass at the end of a spring oscillates 2.9 times per second with an amplitude of 0.13 m .

andre [41]

Answer:

2.3687599 m/s

0.91106 m/s

0.617213012 J

Explanation:

f = Frequency = $2.9\ Hz$

A = Amplitude = 0.13 m

k = Spring constant

m = Mass of object = 0.22 kg

Angular velocity is given by

$\omega=2\pi f\\\Rightarrow \omega=2\pi 2.9\\\Rightarrow \omega=18.22123\ rad/s$

Velocity is given by

$V=A\omega\\\Rightarrow V=0.13\times 18.22123\\\Rightarrow V=2.3687599\ m/s$

Speed when it passes the equilibrium point is 2.3687599 m/s

Frequency is given by

$f=\dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}}\\\Rightarrow k=m4\pi^2f^2 \\\Rightarrow k=0.22\times 4\pi^2\times 2.9^2\\\Rightarrow k=73.04296\ N/m$

x = Displacement = 0.12 m

In this system the energies are conserved

$\dfrac{1}{2}kA^2=\dfrac{1}{2}mv^2+\dfrac{1}{2}kx^2\\\Rightarrow v=\sqrt{\dfrac{k(A^2-x^2)}{m}}\\\Rightarrow v=\sqrt{\dfrac{73.04296(0.13^2-0.12^2)}{0.22}}\\\Rightarrow v=0.91106\ m/s$

The speed when it is 0.12 m from equilibrium is 0.91106 m/s

The energy in the system is given by

$E=\dfrac{1}{2}kA^2\\\Rightarrow E=\dfrac{1}{2}\times 73.04296\times 0.13^2\\\Rightarrow E=0.617213012\ J$

The total energy of the system is 0.617213012 J

4 0

4 years ago

Steve and Jose drove Jose's car to the beach during Spring Break. The 495 kilometer drive took them 8 hours and 30 minutes. What

Vaselesa [24]

Answer:

58.24 Km/h.

Explanation:

From the question given above, the following data were obtained:

Distance (d) = 495 Km

Time (t) = 8 h 30 mins

Speed (S) =?

Next, we shall express 8 hours 30 mins to hours.

We'll begin by convert 30 mins to hour.

60 mins = 1 h

Therefore,

30 mins = 30 mins × 1 h/ 60 mins

30 mins = 0.5 hour.

Thus,

8 h 30 min = 8 + 0.5 = 8.5 hours

Speed is define as the distance travelled per unit time. Mathematically, it is expressed as:

Speed = Distance /time

With the above formula, we can obtain the speed as shown below:

Distance (d) = 495 Km

Time (t) = 8.5 hour

Speed (S) =?

Speed = Distance /time

Speed = 495 Km / 8.5 hour

Speed = 58.24 Km/h

Thus, the speed is 58.24 Km/h.

3 0

3 years ago