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Aleksandr [31]
3 years ago
6

A baseball is thrown vertically up to a height of 30 m on Earth. If the same ball is thrown up on the moon with the same initial

speed, how much farther will it travel up
Physics
1 answer:
nekit [7.7K]3 years ago
6 0

Answer:

hmax = 181.48m

Explanation:

In order to calculate the maximum height reached by the same ball in the moon, you first calculate the initial velocity of the ball by using the information about the maximum height on the Earth. You use the following formula:

h_{max}=\frac{v_o^2}{2g}     (1)

hmax: maximum height reached by the ball in the Earth = 30m

vo: initial velocity of the ball = ?

g: gravitational acceleration on Earth = 9.8m/s^2

From the equation (1) you solve for vo:

v_o=\sqrt{2gh_{max}}=\sqrt{2(9.8m/s^2)(30m)}=24.24\frac{m}{s}

Next, you use the same equation (1) but for the gravitational acceleration of the moon, which is given by:

g' = 1.62m/s^2

h_{max}=\frac{(24.24m/s)^2}{2(1.62m/s^2)}=181.48m

The same ball, with the same initial velocity, will reache a heigth of 181m in the moon.

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Write equations for both the electric and magnetic fields for an electromagnetic wave in the red part of the visible spectrum th
Strike441 [17]

Answer:

E=3.5(8.98*10^{6}x-2.69*10^{15}t)

B=1.17*10^{-8}(8.98*10^{6}x-2.69*10^{15}t)

Explanation:

The electric field equation of a electromagnetic wave is given by:

E=E_{max}(kx-\omega t) (1)

  • E(max) is the maximun value of E, it means the amplitude of the wave.
  • k is the wave number
  • ω is the angular frequency

We know that the wave length is λ = 700 nm and the peak electric field magnitude of 3.5 V/m, this value is correspond a E(max).

By definition:

k=\frac{2\pi}{\lambda}            

k=8.98*10^{6} [rad/m]      

And the relation between λ and f is:                

c=\lambda f

f=\frac{c}{\lambda}

f=\frac{3*10^{8}}{700*10^{-9}}

f=4.28*10^{14}

The angular frequency equation is:

\omega=2\pi f

\omega=2\pi*4.28*10^{14}

\omega=2.69*10^{15} [rad/s]

Therefore, the E equation, suing (1), will be:

E=3.5(8.98*10^{6}x-2.69*10^{15}t) (2)

For the magnetic field we have the next equation:

B=B_{max}(kx-\omega t) (3)

It is the same as E. Here we just need to find B(max).

We can use this equation:

E_{max}=cB_{max}

B_{max}=\frac{E_{max}}{c}=\frac{3.5}{3*10^{8}}

B_{max}=1.17*10^{-8}T

Putting this in (3), finally we will have:

B=1.17*10^{-8}(8.98*10^{6}x-2.69*10^{15}t) (4)

I hope it helps you!

8 0
3 years ago
Julia can swim at 3.5 km/h in still water. She attempts to head straight north
raketka [301]

1) 3.7 km/hr  N19°W

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work sheet  #6

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3 0
3 years ago
N capacitors are connected in parallel to form a "capacitor circuit". The capacitance of first capacitor is C, second one is C/2
liberstina [14]

Answer:

2C

Explanation:

The equivalent capacitance of a parallel combination of capacitors is the sum of their capacitance.

So, if the capacitance of each capacitor is half the previous one, we have a geometric series with first term = C and rate = 0.5.

Using the formula for the sum of the infinite terms of a geometric series, we have:

Sum = First term / (1 - rate)

Sum = C / (1 - 0.5)

Sum = C / 0.5 = 2C

So the equivalent capacitance of this parallel connection is 2C.

5 0
3 years ago
If an object has a mass of 10 kilograms, how much does it weigh in newtons?
schepotkina [342]

10 kilograms of mass weighs 98.1 newtons on Earth,
16.2 newtons on the Moon, 37.1 newtons on Mars,
and other weights in other places.

6 0
3 years ago
What is the instantaneous speed of the monkey at time t=5s?
bezimeni [28]
I’m assuming we’re suppose to get some kind of graph but, Instantaneous speed is the speed that is happening right now. Like driving a car at 15k/h. The instantaneous speed of the car 15k/h. On the graph, at 5s. Wherever the line is, will tell you what the speed is.
6 0
3 years ago
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