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3 years ago

15

A toy airplane, flying in a horizontal, circular path, completes 10. complete circles in 30. seconds. If the radius of the plane

's circular path is 4.0 meters, the average speed of the airplane is______.

1 answer:

algol [13]3 years ago

6 0

Answer:

06

Explanation:

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An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 481 km from the center of asteroid

mariarad [96]

Explanation:

It is given that, An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 481 km from the center of asteroid Y, along the straight line joining the centers of the asteroids. We need to find the ratio of their masses.

As they are in equilibrium, the force of gravity due to each other is same. So,

$\dfrac{Gm_xM}{r^2}=\dfrac{Gm_yM}{r^2}\\\\\dfrac{m_x}{r_x^2}=\dfrac{m_y}{r_y^2}\\\\\dfrac{m_x}{r_x^2}=\dfrac{m_y}{r_y^2}\\\\\dfrac{m_x}{m_y}=(\dfrac{r_x^2}{r_y^2})\\\\\dfrac{m_x}{m_y}=(\dfrac{140^2}{481^2})\\\\\dfrac{m_x}{m_y}=0.0847$

So, the ratio of masses X/Y is 0.0847

5 0

3 years ago

Help plss .. Two bicyclists are accelerating forward in a straight line, and Biker 1 has less

castortr0y [4]

Explanation:

Remember Newton's Second Law.

$F=ma$

If the force acting on both bikers is the same, we can look at the relationship between acceleration and mass.

If Biker 1 has a mass of 10kg and Biker 2 has a mass of 20kg, and both are being acted upon by a force of 100 N, let's see what that looks like. $100 = 10*a_1 \rightarrow a_1 = 100/10 = 10$

$100 = 20 *a_2 \rightarrow a_2 = 100/20 = 5$

So, given the same force, an object with GREATER mass will have less acceleration.

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3 years ago

In a cyclotron, the orbital radius of protons with energy 300 keV is 16.0 cm . You are redesigning the cyclotron to be used inst

dem82 [27]

Answer:

$r_\alpha=16cm$

Explanation:

The radius of the circumference described by a particle in a cyclotron is given by:

$r=\frac{mv}{qB}(1)$

m is the particle's mass, v is the speed of the particle, q is the particle's charge and B is the magnitude of the magnetic field.

Kinetic energy is defined as:

$K=\frac{mv^2}{2}=\frac{m^2v^2}{2m}\\$

Solving this for mv:

$mv=\sqrt{2mK}(2)$

Replacing (2) in (1):

$r=\frac{\sqrt{2mK}}{qB}$

For protons, we have:

$r_p=\frac{\sqrt{2m_pK}}{eB}(3)$

For alpha particles, we have:

$r_\alpha=\frac{\sqrt{2m_\alpha K}}{(2e)B}(4)$

Dividing (4) in (3):

$\frac{r_\alpha}{r_p}=\frac{\frac{\sqrt{2m_\alpha K}}{(2e)B}}{\frac{\sqrt{2m_p K}}{(e)B}}\\r_\alpha=\frac{r_p}{2}\sqrt{\frac{m_\alpha}{m_p}}\\r_\alpha=\frac{16cm}{2}\sqrt{\frac{6.64*10^{-27}kg}{1.67*10^{-27}kg}}\\r_\alpha=\frac{16cm}{2}(\sqrt{3.98})\\\\r_\alpha=\frac{16cm}{2}(2)\\r_\alpha=16cm$

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4 years ago

In what way is the liquid water different from the water vapor?

just olya [345]

Answer:

The difference is the way the molecules are arranged and the way they move

Explanation:

Water molecules in liquid water are constantly sliding past and bumping into each other; they keep moving from one place to another. The molecules of water in water vapor are far apart and moving freely.

3 0

4 years ago

What is it 60.2 mg = _____ g?

alexgriva [62]

G as in grams? Because what I got is 0.0602 from my calculator. So I'm not sure if that's what you are looking for.

8 0

3 years ago

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