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Marrrta [24]
3 years ago
12

A hot-air balloonist, rising vertically with a constant speed of 5.00 m/s releases a sandbag at the instant the balloon is 40.0

m above the ground. After it is released, the sandbag encounters no appreciable air drag. Compute the position of the sandbag at 0.250 s after its release.
40.9 m

39.7 m

41.3 m

40.3 m

Physics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

<em>First option</em>

<em>The position of the sandbag at 0.250 s after its release is </em><u><em>40.9 m</em></u>

Explanation:

We want to know the height of the balloon as a function of time, after 0.250s

Then we use the following equation of motion:

h(t) = h_0 + s_0t - 0.5gt ^ 2

In this equation

s is the speed

g is gravitational acceleration

h_0 is the initial height

s_0 is the initial velocity.

If the sandbag is released 40 meters above the ground, then the initial height is 40 meters.

As the balloon rises at a constant speed, then the initial velocity of the balloon is 5 m/s

Now we substitute these values in the formula

h(t) = 40 + 5t - 0.5(9.8)t ^ 2\\\\h(t) = 40 + 5t - 4.9t ^ 2

Now we look for:

h(t=0.250\ s)

h(0.250) = 40 +5(0.250) - 4.9(0.250) ^ 2\\\\h(0.250) = 40.9\ m

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The formula for the energy in a capacitor , u in terms of q and c is q²/2c

<h3>What is the energy of a capacitor?</h3>

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<h3>What is the capacitance of a capacitor?</h3>

Also, the capacitance of a capacitor c = q/v where

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Substituting v into u, we have

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The wavelength of sound wave is 30 m. Frequency is 7 Hz. What is the wave speed
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3 years ago
A technician at a semiconductor facility is using an oscilloscope to measure the AC voltage across a resistor in a circuit. The
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Answer:

The value to be reported is 5.48V

Explanation:

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The RMS voltage is also called effective voltage because it is just as effective as DC voltage in providing power to an element.

It is expressed as V_{rms} = \frac{V_{m} }{\sqrt{2} }

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In calculating the RMS of the voltage , we simply divide the peak voltage by square root of 2 (√2)

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What is the velocity of the object?
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<h2>Hey There!</h2><h2>_____________________________________</h2><h2>Answer:</h2><h2 /><h2>\huge\boxed{\text{V = 9.5 m/s}}</h2><h2>_____________________________________</h2>

<h2>DATA:</h2>

mass = m = 2kg

Distance = x = 6m

Force = 30N

TO FIND:

Work = W = ?

Velocity = V = ?

<h2>SOLUTION:</h2>

According to the object of mass 2 kg travels a distance when the force was exerted on it. The graph between the Force and position was plotted which shows that 30 N of force was used to push the object till the distance of 6.0m.

To find the work, I will use the method of determining the area of the plotted graph. As the graph is plotted in the straight line between the Force and work, THE PICTURE ATTCHED SHOWS THE AREA COVERED IN BLUE AS WORK DONE AND HEIGHT AS 30m AND DISTANCE COVERED AS 6m To solve for the area(work) of triangle is given as,

{\Longrightarrow}\qquad \qquad \qquad W\ =\ \frac{1}{2}\;(Base)\:(Height)

Base is the x-axis of the graph which is Position i.e. 6m

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So,

                           W\ =\ \frac{1}{2}\:6\:x\:30

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The work done is 90 J.

According to the principle of work and kinetic energy (also known as the work-energy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.

{\Longrightarrow}\qquad \qquad \qquad W\quad =\quad K.E\\\\{\Longrightarrow}\qquad \qquad \qquad W\quad =\quad \frac{1}{2}\ m\ V^2 \\\\{\Longrightarrow}\qquad \qquad \qquad W\quad =\quad \frac{1}{2}\ 2\ (V_f-V_i)^2\\\\{V_i\ is\ 0\ because\ the\ object\ was\ initially\ at\ rest}\\\\ {\Longrightarrow}\qquad \qquad \qquad W\quad\ =\ \frac{1}{2}\ x\ 2\ (V_f-0)^2 \\\\{\Longrightarrow}\qquad \qquad \qquad 90\quad = \frac{1}{2}\ x\ 2\ (V_f)^2

\\\\{\Longrightarrow}\qquad \qquad \qquad V_f\quad =\ \sqrt{\frac{2\ (90)\ }{2}}\\\\{\Longrightarrow}\qquad \qquad \qquad \boxed {V_f\quad =\ 9.48\ m/s}

\boxed{The\ Velocity\ of\ the\ Object\ of\ mass\ 2kg\ at\ 6\ meters\ of\ distance\ was\ 9.48\ m/s}

<h2>_____________________________________</h2><h2>Best Regards,</h2><h2>'Borz'</h2>

8 0
3 years ago
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