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katovenus [111]
3 years ago
13

A mass that weight stretches a spring . The system is acted on by an external force . If the mass is pushed up and then released

, determine the position of the mass at any time . Use as the acceleration due to gravity. Pay close attention to the units.
Physics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

x = A cos wt

Explanation:

To determine the position we are going to solve Newton's second law

             F = m a

           

Spring complies with Hooke's law

          F = -k x

And the acceleration of defined by

          a = d²x / dt²

         

We substitute

        - k x = m d²x / dt²

         dx² / dt² + k/m  x = 0

Let's call

           w² = k / m

The solution to this type of differential equation is

           x = A cos (wt + Ф)

Where A is the initial block displacement and the phase angle fi is determined by or some other initial condition.

In this case the body is released so that at the initial speed it is zero

From which we derive this expression

         v = dx / dt = a w sin ( wt + Ф)

         

As the System is released for t = 0 the speed is v = 0

         v = sin Ф = 0

Therefore Ф = 0

And the equation of motion is

         x = A cos wt

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Which statement describes a property of a proton?
lesantik [10]

Answer:

They have no charge and are present in the nucleus of an atom. They have a negative charge and travel around the nucleus of an atom. They have a positive charge and travel around the nucleus of an atom

Explanation:

7 0
3 years ago
Mya (m = 65 kg) floats 4 m from her spaceship (m = 1600 kg). What gravitational force would each mass exert on the other?
Aleksandr-060686 [28]

Answer:

ans: 4.34 × 10^(-9) N

Explanation:

mass of Mya say (m) = 65 kg

mass of spaceship say (M) = 1600 kg

universal gravitational constant(G) =6.67 × 10^(-11) Nm²/kg²

separation distance (d) = 4m

so,

gravitational force (F)= GMm/d²

=( 6.67 × 65 × 1600) / ( 10¹¹ × 4²)

= 4.34 × 10⁴ / 10¹³

= 4.34 × 10^(-9) N

8 0
3 years ago
Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different direc
larisa [96]
For the answer to the question above,
Ricardo goes a distance (magnitude) of 27, in a direction of 60 degrees W of N 
<span>Jane goes a magnitude of 16 in a direction 30 degrees S of W </span>

<span>How I would solve this is to imagine that the started at (0,0) </span>
<span>And their walking represents vectors. </span>

<span>Ricardo: </span>
<span>X-coordinate = -27sin60 = 27sqrt(3)/2 = 23.383 </span>
<span>Y-coordinate = 27cos60 = 27/2 = 13.5 </span>
<span>So, after he walks, he is at point (-23.383, 13.5) </span>

<span>Jane: </span>
<span>X-coordinate = -16cos(30) = 16sqrt(3)/2 = 13.856 </span>
<span>Y-coordinate = -16sin(30) = 16/2 = 8 </span>
<span>So, after she walks, she is at point (-13.856, -8) </span>

<span>So, you have 2 points. </span>
<span>Use the distance formula to find their distance apart </span>
<span>Sqrt((-23.383+13.856)^2+(13.5+8)^2) = 23.516m </span>

<span>To find the direction, simply find the slope of the two points, and take the arc-tangent. </span>
<span>The slope = -9.527/21.5 = -0.443 </span>
<span>Take the tan^-1 of this, which is -23.899 degrees. </span>
<span>This basically translates to, Ricardo must walk 23.899 degrees E of S </span>

<span>They will be 23.518 m apart </span>
<span>Ricardo must walk 23.899 degrees East of South to get to Jane</span>
5 0
3 years ago
Read 2 more answers
HELPPP ILL GIVE YOU BRAINLIST!!!!
son4ous [18]

Answer: The correlation between all of these examples would be They are all earths natural energy balance. To maintain a constant global average temperature, all of the sun’s radiation that enters Earth’s atmosphere must eventually be sent back to space.   The greenhouse effect plays a significant role in Earth's energy budget. With the natural greenhouse effect, the energy budget is balanced as thermal radiation is re-radiated towards the ground, trapping thermal energy and warming the Earth. However, with the greenhouse effect being enhanced by humans, the energy budget of the Earth is shifted to an imbalance. It is important to understand that a certain amount of energy being retained due to the greenhouse effect is necessary, but too much results in conditions that account for increased global temperatures and climate change.

Explanation:

8 0
3 years ago
A weather balloon, rising vertically at 25.0 m/s, releases an instrument package when it is 100. meters above the ground. How ma
Illusion [34]

Answer:

7.74 seconds

Explanation:

u = 25 m/s

h = - 100 m

Let it takes time t to hit the ground.

Use second equation of motion

h = ut-\frac{1}{2}gt^{2}

-100 = 25t-4.9t^{2}

4.9t^{2}-25t-100=0

t=\frac{25\pm \sqrt{625+4\times 4.9\times 100}}{2\times4.9}

t=\frac{25\pm 50.84}{9.8}

Take positive sign as time can never be negative.

t = 7.74 s

Thus, the package takes 7.74 seconds to reach the ground.

4 0
3 years ago
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