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Rainbow [258]
3 years ago
12

Suppose the Earth's magnetic field at the equator has magnitude 0.50×10−4T and a northerly direction at all points. Part A Estim

ate the speed a singly ionized uranium ion (m=238u,we) would need to circle the Earth 5.0 km above the equator. Express your answer using two significant figures. vv = nothing m/s
Physics
1 answer:
notsponge [240]3 years ago
4 0

Answer:

v = 1.3 10⁸  m / s

Explanation:

The magnetic force is given by

       F = q v x B

Where blacks indicate vectors

The magnetic field has a direction to the north, the fixed uranium atom on Earth has a direction to the east, so the field and velocity are perpendicular, the expression of the force remains

         F = q v B

If we use Newton's second law

       F = ma

The acceleration is centripetal

      F = m v² / r

The distance is the radius of the earth plus the distance from the surface

      r = Re + 50.103

      r = 6.37 10⁶ + 5 10³

      r = 6.3705 10⁶ m

      m v² / r = q v B

      v = q/m   B r

uranium mass

     m = 238 (1.66 10⁻²⁷) kg = 395 10⁻²⁷ kg

Let's calculate

      v = 1.6 10⁻¹⁹ 0.5 10⁻⁴ 6.3705 10⁶ /395 10⁻²⁷

      v = 1.29 10⁸  m / s

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A 1.5 V battery is connected to a 1,000 μF capacitor in series with a 150 Ω resistor. a. What is the maximum current that flows
Elza [17]

Answer:

0.01\ \text{A}

0.0015\ \text{C}

0.0608\ \text{s}

Explanation:

V_0 = Voltage = 1.5 V

C = Capacitance = 1000\ \mu\text{F}

R = Resistance = 150\ \Omega

Current is given by

I=\dfrac{V_0}{R}\\\Rightarrow I=\dfrac{1.5}{150}\\\Rightarrow I=0.01\ \text{A}

Current flowing in the resistor is 0.01\ \text{A}.

Charge is given by

Q=CV\\\Rightarrow Q=1000\times 10^{-6}\times 1.5\\\Rightarrow Q=0.0015\ \text{C}

The charge on the capacitor is 0.0015\ \text{C}.

Voltage is given by

V=V_0e^{-\dfrac{t}{RC}}\\\Rightarrow t=-RC\ln\dfrac{V}{V_0}\\\Rightarrow t=-150\times 1000\times 10^{-6}\times\ln\dfrac{1}{1.5}\\\Rightarrow t=0.0608\ \text{s}

Time taken to reach 1 V is 0.0608\ \text{s}.

3 0
2 years ago
In which of the following do two smaller atoms fuse to form a larger atom?
prisoha [69]

Answer:

Fusion

Explanation:

A chemical reaction can be defined as a reaction in which two or more atoms of a chemical element react to form a chemical compound.

On the other hand, a nuclear reaction can be defined as a reaction in which the nucleus of an atom is transformed by being joined (fusion) or split (fission) with the nucleus of another atom of a radioactive element.

This ultimately implies that, during fusion, two smaller atoms fuse to form a larger atom. Thus, fusion involves the joining of two smaller nuclei of atoms to form a single massive or heavier nucleus with the release of energy.

Additionally, the energy that holds the neutrons and protons found in the nucleus of an atom together is known as Nuclear energy.

5 0
2 years ago
A 200 g air-track glider is attached to a spring. The glider is pushed in 9.8 cm against the spring, then released. A student wi
Likurg_2 [28]

Answer:

k =  5.05 N/m

Explanation:

In order to calculate the spring mass of the system, you use the following formula:

T=2\pi \sqrt{\frac{m}{k}}     (1)

T: period of oscillation of the system

m: mass of the air-track glider = 200g = 0.200 kg

k: spring constant = ?

You first calculate the period of oscillation:

T=\frac{1}{f}=\frac{1}{12/15.0s}=1.25s

Next, you solve the equation (1) for k, and then you replace the values of the other parmateres:

k=4\pi^2 \frac{m}{T^2}\\\\k=4\pi^2 \frac{0.200kg}{(1.25s)^2}=5.05\frac{N}{m}

The spring constant of the spring is 5.05 N/m

6 0
3 years ago
A sound wave has a frequency of 300 Hz. If the wavelength is .50 m, then what is the speed of
kherson [118]

Answer:

15000 m/s

Explanation:

You just need to multiply the wavelength with the frequency.

7 0
3 years ago
A ball traveling at a speed ν0 rolls off a desk and lands at a horizontal distance x0 away from the desk, as shown in the figure
klasskru [66]

Answer:

3x_0

Explanation:

The horizontal distance covered by the ball in the falling is only determined by its horizontal motion - in fact, it is given by

d=v_x t

where

v_x is the horizontal velocity

t is the time of flight

The time of flight, instead, is only determined by the vertical motion of the ball: however, in this problem the vertical velocity is not changed (it is zero in both cases), so the time of flight remains the same.

In the first situation, the horizontal distance covered is

d=v_0 t = x_0

in the second case, the horizontal velocity is increased to

v_x' = 3v_0

And so the new distance travelled will be

d' = v_x' t = 3 v_0 t = 3 x_0

So, the distance increases linearly with the horizontal velocity.

5 0
3 years ago
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