Answer:
A) V_rms = 29 V
B) Vav = 0 V
Explanation:
A) We are told that;
V = V_o cos ωt
voltage amplitude; V = V_o = 41.0V
Now, the formula for the root-mean-square potential difference Vrms is given as;
V_rms = V/√2
Thus plugging in relevant values, we have;
V_rms = 41/√2
V_rms = 29 V
B) Due to the fact that the voltage is sinusoidal from the given V = V_o cos ωt, we can say that the average potential difference Vav between the two terminals of the power supply would be zero.
Thus; Vav = 0 V
Answer:
The speed of water flow inside the pipe at point - 2 = 34.67 m / sec
Explanation:
Given data
Diameter at point - 1 = 3.2 cm
Velocity at point - 1 = 1.1 m / sec = 110 cm / sec
Diameter at point - 2 = 0.57 cm
Velocity at point - 2 = ??
We know that from the continuity equation the rate of flow is constant inside a pipe between two points.
Thus
⇒
×
=
× 
⇒
×
×
=
⇒
×
=
× 
⇒
× 110 =
× 
⇒
= 3467 cm / sec
⇒
= 34.67 m / sec
Thus the speed of water flow inside the pipe at point - 2 = 34.67 m / sec
Answer:
Average force, F = 562.5 N
Explanation:
Mass of the golf ball, m = 0.045 kg
Initially, it is at rest, u = 0
Final speed of the ball, v = 25 m/s
The club and the ball are in contact for, 
We need to find the average force acting on the ball. It can be calculated using the formula as :


F = 562.5 N
So, the average force acting on the ball is 562.5 N. Hence, this is the required solution.
Answer:
(a)
, 
(b) When
, object is slowing down, when
object is speeding up.
Explanation:
(a) To get the velocity function, we need to take the derivative of the position function.

To get the acceleration function, we need to take the derivative of the velocity function.

(b) The object is slowing down when velocity is decreasing by time (decelerating) hence a < 0

On the other hand, object is speeding up when a > 0

Therefore, when
, object is slowing down, when
object is speeding up.