Answer:
In an inductive circuit, when frequency increases, the circuit current decreases and vice versa.
Explanation:
I believe Intermolecular forces hold, <span>molecules, ions, and atoms? But I would see if that doesn't sound familiar check it with a site or something?</span>
Answer:
![a=16.2m/s^{2}](https://tex.z-dn.net/?f=a%3D16.2m%2Fs%5E%7B2%7D)
Explanation:
From the attached file diagram, the total force acting on the charged box is the downward weight and the repulsive force acting in opposite to the weight force . Hence we can write the total force as
![F=masin\alpha -\frac{kQq}{r^{2}} \\\alpha =35^{0}, m=0.495kg, r=0.61m, Q=2.5*10^{-6}, q=75.0*10^{-6}\\](https://tex.z-dn.net/?f=F%3Dmasin%5Calpha%20-%5Cfrac%7BkQq%7D%7Br%5E%7B2%7D%7D%20%5C%5C%5Calpha%20%3D35%5E%7B0%7D%2C%20m%3D0.495kg%2C%20r%3D0.61m%2C%20Q%3D2.5%2A10%5E%7B-6%7D%2C%20q%3D75.0%2A10%5E%7B-6%7D%5C%5C)
When fixed,F=o
Hence
![masin\alpha =\frac{kQq}{r^{2}}\\0.495kg*asin35=\frac{9*10^{9}*2.5*10^{-6}*75.0*10^{-6}}{0.61^{2}} \\0.28a=4.5351\\a=\frac{4.5351}{0.28}\\\\ a=16.2m/s^{2}](https://tex.z-dn.net/?f=masin%5Calpha%20%3D%5Cfrac%7BkQq%7D%7Br%5E%7B2%7D%7D%5C%5C0.495kg%2Aasin35%3D%5Cfrac%7B9%2A10%5E%7B9%7D%2A2.5%2A10%5E%7B-6%7D%2A75.0%2A10%5E%7B-6%7D%7D%7B0.61%5E%7B2%7D%7D%20%5C%5C0.28a%3D4.5351%5C%5Ca%3D%5Cfrac%7B4.5351%7D%7B0.28%7D%5C%5C%5C%5C%20a%3D16.2m%2Fs%5E%7B2%7D)
The value of the acceleration is 16.2m/s^2
Answer:
-6327.45 Joules
650.375 Joules
378.47166 N
Explanation:
h = Height the bear slides from = 15 m
m = Mass of bear = 43 kg
g = Acceleration due to gravity = 9.81 m/s²
v = Velocity of bear = 5.5 m/s
f = Frictional force
Potential energy is given by
![P=mgh\\\Rightarrow P=43\times -9.81\times 15\\\Rightarrow P=-6327.45\ J](https://tex.z-dn.net/?f=P%3Dmgh%5C%5C%5CRightarrow%20P%3D43%5Ctimes%20-9.81%5Ctimes%2015%5C%5C%5CRightarrow%20P%3D-6327.45%5C%20J)
Change that occurs in the gravitational potential energy of the bear-Earth system during the slide is -6327.45 Joules
Kinetic energy is given by
![K=\frac{1}{2}mv^2\\\Rightarrow K=\frac{1}{2}\times 43\times 5.5^2\\\Rightarrow K=650.375\ J](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2%5C%5C%5CRightarrow%20K%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2043%5Ctimes%205.5%5E2%5C%5C%5CRightarrow%20K%3D650.375%5C%20J)
Kinetic energy of the bear just before hitting the ground is 650.375 Joules
Change in total energy is given by
![\Delta E=fh=-(\Delta K+\Delta P)\\\Rightarrow fh=-(650.375-6327.45)\\\Rightarrow fh=5677.075\\\Rightarrow f=\frac{5677.075}{h}\\\Rightarrow f=\frac{5677.075}{15}\\\Rightarrow f=378.47166\ N](https://tex.z-dn.net/?f=%5CDelta%20E%3Dfh%3D-%28%5CDelta%20K%2B%5CDelta%20P%29%5C%5C%5CRightarrow%20fh%3D-%28650.375-6327.45%29%5C%5C%5CRightarrow%20fh%3D5677.075%5C%5C%5CRightarrow%20f%3D%5Cfrac%7B5677.075%7D%7Bh%7D%5C%5C%5CRightarrow%20f%3D%5Cfrac%7B5677.075%7D%7B15%7D%5C%5C%5CRightarrow%20f%3D378.47166%5C%20N)
The frictional force that acts on the sliding bear is 378.47166 N
Answer:
7.35 m/s
Explanation:
Using y - y' = ut - 1/2gt², we find the time it takes the ball to fall from the 1.2 m table top and hit the floor.
y' = initial position of ball = 1.2 m, y = final position of ball = 0 m, u = initial vertical velocity of ball = 0 m/s, g = acceleration due to gravity = 9.8 m/s² and t = time taken for ball to hit the ground.
So, substituting the values of the variables into the equation, we have
y - y' = ut - 1/2gt²
0 - 1.2 m = (0 m/s)t - 1/2(9.8 m/s²)t²
- 1.2 m = 0 - (4.9 m/s²)t²
- 1.2 m = - (4.9 m/s²)t²
t² = - 1.2 m/- (4.9 m/s²)
t² = 0.245 s²
t = √(0.245 s²)
t = 0.49 s
Since d = vt where d = horizontal distance ball moves = 3.6 m, v = horizontal velocity of ball = unknown and t = time it takes ball to land = 0.49 s.
So, d = vt
v = d/t
= 3.6 m/0.49 s
= 7.35 m/s
Since the initial velocity of the ball is 7.35 m/s since the initial vertical velocity is 0 m/s.
It is shown thus V = √(u² + v²)
= √(0² + v²)
= √(0 + v²)
= √v²
= v
= 7.35 m/s