The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
We know the area of a small square is 24 in².
Assuming the small rectangles are all equal in area, the total area of the window is equal to 6 x 24 = 144 in².
Now looking at the big window, the total area = width x length so:
144 = 18 x width
width = 144 ÷ 18 = 8 in
When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy.
<span>KE = EPE </span>
<span>1/2mv^2 = 1/2kx^2 </span>
<span>change the speed into m/s </span>
<span>50 km/hr = 13.9 m/s </span>
<span>1/2(1200)(13.9)^2 = 1/2k(2.2)^2 </span>
<span>now you do the math to solve for k.
k= 115926/2.42
K= 47903.30</span>
My answer would be a. a radio play is<span> the art of performing stories, acts, or even full-lengths musicals to be broadcast on radios. so baiscly u can really see them at all.</span>
