Answer:
![v_{2}=3.5 m/s](https://tex.z-dn.net/?f=v_%7B2%7D%3D3.5%20m%2Fs)
Explanation:
Using the conservation of energy we have:
![\frac{1}{2}mv^{2}=mgh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D%3Dmgh)
Let's solve it for v:
![v=\sqrt{2gh}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2gh%7D)
So the speed at the lowest point is ![v=7 m/s](https://tex.z-dn.net/?f=v%3D7%20m%2Fs)
Now, using the conservation of momentum we have:
![m_{1}v_{1}=m_{2}v_{2}](https://tex.z-dn.net/?f=m_%7B1%7Dv_%7B1%7D%3Dm_%7B2%7Dv_%7B2%7D)
Therefore the speed of the block after the collision is ![v_{2}=3.5 m/s](https://tex.z-dn.net/?f=v_%7B2%7D%3D3.5%20m%2Fs)
I hope it helps you!
Potential energy is highest at the top of the loop, and kinetic energy is highest at the bottom of the loop.
Answer:
The water level in the bath tub is rising at a rate of 0.0111 ft/s
Explanation:
Volume of the bath tub = (Area of base) × (height)
Area of base = 18 ft² (constant)
Height = h (variable)
V = 18h
(dV/dt) = 18 (dh/dt)
If (dV/dt) = 0.2 ft³/s
0.2 = 18 (dh/dt)
(dh/dt) = (0.2/18)
(dh/dt) = 0.0111 ft/s
Hope this Helps!!!
Answer:
distance and time
Explanation: the farther you go and how much time it will take you
The functions of angles are used to find unknown lengths or angles that can't be measured, in terms of known quantities. The trig functions of angles are ratios of lengths, so they're bare naked numbers without units.