A resistor and a capacitor are connected in series across an ideal battery having a constant voltage across its terminals. (a) A
1 answer:
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PART a)
here when stone is dropped there is only gravitational force on it
so its acceleration is only due to gravity
so we will have
Part b)
Now from kinematics equation we will have
now we have
y = 25 m
so from above equation
Part c)
If we throw the rock horizontally by speed 20 m/s
then in this case there is no change in the vertical velocity
so it will take same time to reach the water surface as it took initially
So t = 2.26 s
Part D)
Initial speed = 20 m/s
angle of projection = 65 degree
now we have
PART E)
when stone will reach to maximum height then we know that its final speed in y direction becomes zero
so here we can use kinematics in Y direction
so it will take 1.85 s to reach the top
Answer:
d = 0.343 m
Explanation:
Given that,
The speed of a longitudinal wave, v = 343 m/s
Your ear is capable of differentiating sounds that arrive at the ear just 1.00 milliseconds apart.
We need to find the minimum distance between two speakers that produce sounds that arrive at noticeably different times.
Let the distance be d. So,
So, the required distance is equal to 0.343 m.
Answer:
1.65 m
Explanation:
The motion of the ball is a projectile motion, so it is a parabolic motion with two independent motions:
- on the x-axis, a uniform motion with constant speed
- on the y-axis, a uniformly accelerated motion with constant acceleration downward.
First of all, we need to find the time t at which the ball has travelled halfway to the chatcher, i.e. at a distance of . This can be found by using the relationship between distance, time and velocity along the horizontal direction:
So now we can move to the vertical motion, and we can calculate the distance covered vertically by the ball while falling for t=0.58 s, by using:
Answer:
The air temperature at the tropopause is - 79 °C
Explanation:
We know that a station near the equator has a surface temperature of 25°C
Vertical soundings reveal an environmental lapse rate of 6.5 °C per kilometer.
The tropopause is encountered at 16 km.
In order to find the air temperature at the tropopause we are going to deduce a linear function for the temperature at the tropopause.
This linear function will have the following structure :
Where '''' and ''
'' are real numbers.
Let's write to denote the temperature '' T '' in function of the distance
'' x '' ⇒
We can reorder the function as :
(I)
Now, at the surface the value of '''' is 0 km and the temperature is 25°C so in the function (I) we write :
⇒
⇒
(II)
In (II) the value of '''' represents the change in temperature per kilometer.
Because the temperature decrease with the height this number will be negative and also a data from the question ⇒
(III)
In (III) we deduced the linear equation. The last step is to replace by in (III) ⇒
The air temperature at the tropopause is - 79 °C