Missing figure and missing details can be found here:
<span>http://d2vlcm61l7u1fs.cloudfront.net/media%2Fdd5%2Fdd5b98eb-b147-41c4-b2c8-ab75a78baf37%2FphpEgdSbC....
</span>
Solution:
(a) The work done by the spring is given by
![W= \frac{1}{2} k (\Delta x)^2 ](https://tex.z-dn.net/?f=W%3D%20%5Cfrac%7B1%7D%7B2%7D%20k%20%28%5CDelta%20x%29%5E2%20%0A)
where k is the elastic constant of the spring and
![\Delta x](https://tex.z-dn.net/?f=%5CDelta%20x)
is the stretch between the initial and final position. Since x1=-8 in=-0.203 m and x2=5 in=0.127 m, we have
![W= \frac{1}{2} \cdot 500 N/m \cdot (0.127m-(-0.203m))^2=27.25 J](https://tex.z-dn.net/?f=W%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ccdot%20500%20N%2Fm%20%5Ccdot%20%280.127m-%28-0.203m%29%29%5E2%3D27.25%20J)
(b) The work done by the weight is the product of the component of the weight parallel to the inclined plane and the displacement of the cart:
![W_W = -F_{//} (x_2 -x_1)](https://tex.z-dn.net/?f=W_W%20%3D%20-F_%7B%2F%2F%7D%20%28x_2%20-x_1%29)
where the negative sign is given by the fact that
![F_{//}](https://tex.z-dn.net/?f=F_%7B%2F%2F%7D)
points in the opposite direction of the displacement of the cart, and where
![F_{//}=m g sin 15^{\circ}=6 kg \cdot 9.81m/s^2 \cdot sin 15^{\circ}=15.2 N](https://tex.z-dn.net/?f=F_%7B%2F%2F%7D%3Dm%20g%20sin%2015%5E%7B%5Ccirc%7D%3D6%20kg%20%5Ccdot%209.81m%2Fs%5E2%20%5Ccdot%20sin%2015%5E%7B%5Ccirc%7D%3D15.2%20N)
therefore, the work done by the weight is
According to my research I found questions with the same info with option choices and they are:
A.) How many people in the study had the flu?
B.) How many people were included in the study?
C.) What was the average age of the people in the study?
D.) What was the most common occupation of people in the study?
Among those options the answer would be the second choice B)
The lens changes the focal distance of the eye so that you can focus on images/objects.
In 2 days there are 48 hours
to find the average speed per hour, divide 2,387 by 48
Which gets you the answer 49.72
Which rounds up to 50
The average speed is 50mph
The time taken for the two balls to hit each other is 8 s.
The given parameters:
- <em>Acceleration of the rocket, a = 2 m/s²</em>
- <em>Length of the chamber, s = 4 m</em>
- <em>Speed of the first ball, = V1 = 0.3 m/s</em>
- <em>Speed of the second ball, V2 = 0.2 m/s</em>
The time taken for the two balls to hit each other is calculated by applying relative velocity formula as shown below;
![(V_1 - (-V_2) )t = s\\\\(V_1 + V_2) t = s\\\\(0.3 + 0.2) t = 4\\\\0.5t = 4\\\\t = \frac{4}{0.5} \\\\t = 8 \ s](https://tex.z-dn.net/?f=%28V_1%20-%20%28-V_2%29%20%29t%20%3D%20s%5C%5C%5C%5C%28V_1%20%2B%20V_2%29%20t%20%3D%20s%5C%5C%5C%5C%280.3%20%2B%200.2%29%20t%20%3D%204%5C%5C%5C%5C0.5t%20%3D%204%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B4%7D%7B0.5%7D%20%5C%5C%5C%5Ct%20%3D%208%20%5C%20s)
Thus, the time taken for the two balls to hit each other is 8 s.
Learn more about relative velocity here: brainly.com/question/17228388