Yes, the volume of the cylinder will remain constant. As the radius decreases, the height will increase to make sure that the volume is kept the same.
We have been given a value of dr/dt and are required to find dh/dt
Because the volume is constant, we can plug it into the formula for the volume of the cylinder and rearrange it to make h the subject:
128 = πr²h
h = 128/πr²
Now we differentiate both sides:
dh/dr = -256/πr³
Applying the chain rule:
dh/dt = dh/dr x dr/dt
dh/dt = (-256/πr³) x -0.05
dh/dt = 64/5πr³; substituting the value of r
dh/dt = 64/5π(1.5)³
dh/dt = 1.21 in/sec
Answer:
no, when a plastic rod is rubbed with a duster, electrons are transferred from one material to the other. The material that gains electrons becomes negatively charged. The material that loses electrons becomes positively charged.
Explanation:
Answer:
1)
2)
3)
4)
Explanation:
1)
We can use the following equation:
Here, the initial velocity in the y-direction is zero, the final y position is zero and the initial y position is 25 m.
2)
The equation of the motion in the x-direction is:
3)
The velocity in the y-direction of the stone will be:
Now, the velocity in the x-direction is 15 m/s then the velocity will be:
4)
The angle of this velocity is:
Then α=55.92° negative from the x-direction.
I hope it helps you!
The potential energy of a 30N ball on the ground will be zero. With respect to height, h. Potential energy will be calculated like this. P=mgh. So if its on the ground relatively speaking the h=0. Thus inputting into the above formula. P=0.
