(1) The pendulum will have maximum velocity at the lowest point and it will be the most difficult point to stop.
(2) Velocity at maximum height is zero and it will be the easiest point to stop the pendulum.
(3) The total mechanical energy of the pendulum would be the same at all point.
<h3>Point of maximum velocity of the pendulum</h3>
A pendulum has maximum kinetic energy at the lowest point. The kinetic energy is given as;
K.E = ¹/₂mv²
The pendulum will have maximum velocity due to maximum kinetic energy at the lowest point and it will be the most difficult point to stop.
<h3>Point of maximum height of the pendulum</h3>
A pendulum has maximum potential energy at the highest point. The potential energy is given as;
P.E = mgh
Velocity at maximum height is zero and it will be the easiest point to stop the pendulum.
<h3>Conservation of energy</h3>
In absence of friction, the total mechanical energy will be conserved. Thus, the total mechanical energy of the pendulum would be the same at all point.
Learn more about pendulum here:brainly.com/question/26449711
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Answer:
48W
Explanation:
Ok so, the power formula is P= V*I. I plugged in the voltage and current to get P=(6V)(8A).
A.) P=48W.
B.) Knowing this, It isn't working correctly. It's <em>supposed </em>to be 60W but it's 45W.
There must be some type of resistor throwing it off or something but the answer is no!
hope this helps!!
Answer:
(a) Final speed of block = 3.2896 m/s
(b) 6.7350 m/s is the speed of the bullet-block center of mass?
Explanation:
Given that:
Mass of bullet (m₁) = 6.20 g
Initial Speed of bullet (u₁) = 929 m/s
Final speed of bullet (v₁) = 478 m/s
Mass of wooden block (m₂) = 850g
Initial speed of block initial (u₂) = 0 m/s
Final speed of block (v₂) = ?
<u>By the law of conservation of momentum as:</u>
<u>m₁×u₁ + m₂×u₂ = m₁×v₁ + m₂×v₂</u>
6.20×929 + 850×0 = 6.20×478 + 850×v₂
Solving for v₂, we get:
<u>v₂ = 3.2896 m/s</u>
Let the V be the speed of the bullet-block center of mass. So,
V = [m₁* u₁]/[m₁ + m₂] (p before collision = p after collision)
= [6.2 *929]/[5.2+850]
<u>V = 6.7350 m/s
</u>
Answer:
2.5 seconds
Explanation:
s(t) = -16t^2 + 80t + 384
for
0≤t≤8
First we differentiate s(t) to get s'(t)
s'(t) = -32t + 80
Let us then find the critical point; thus we will equate s'(t) to zero and then search for values where s'(t) is undefined
s'(t) = -32t + 80 = 0
t = 80/32
t = 2.5 sec
Let us evaluate s at the critical points and end points
s(0) = -16(0)^2 + 80(0) + 384 = 384
s(2.5) = -16(2.5)^2 + 80(2.5) + 384 = 684
s(8) = -16(8)^2 + 80(8) + 384 = 0
Thus, the stone attains it maximum height of 684ft at at t=2.5s
By using Ohm's law, we can calculate the resistance of the wire. Ohm's law states that:
where V is the potential difference across the conductor, I is the current and R the resistance. Rearranging the equation, we get
Now we can use the following equation to calculate the length of the wire:
(1)
where
is the resistivity of the material
L is the length of the conductor
A is its cross-sectional area
In this problem, we have a wire of copper, with resistivity
. The radius of the wire is half the diameter:
And the cross-sectional area is
So now we can rearrange eq.(1) to calculate the length of the wire:
