Answer: 24.4 degrees to the vertical
Explanation:
Vertical component of raindrop speed = 11m/s
Horizontal component of wind = 5m/s
In this case, all we have to do is to use trigonometric ratios of angles to sides as in a triangle
Doing this, we see that
tan (theta) = 5/11
(Where theta is the angle made with the vertical by the rain after impact)
Tan being opposite/adjacent
Arc sin (5/11) gives us 24.44 degrees to the vertical
Refer to the diagram shown below.
h = height of the girl above water when she lets go of the rope.
The launch velocity is 22.5 m/s at 35° to the horizontal. Therefore the vertical component of the velocity is
v = 22.5 sin(35°) = 12.9055 m/s.
The time of flight is t = 1.10 s before the girl hits the surface of the water at a height of -h.
Therefore
-h = (12.9055 m/s)*(1.10 s) - (1/2)*(9.8 m/s²)*(1.10 s)²
-h = 8.267 m
= 8.3 m (nearest tenth)
Answer:
When the girl let go of the rope, she was about 8.3 m above the surface of the water.
Answer:
f = 0.0833 Hz
Explanation:
Frequency is defined as the no. of cycles per unit time. The frequency of water waves can be given by the following formula:
here,
No. of Waves = No. of times seagull moves up and down = 5
Time = 1 minute = 60 sec
Therefore, using these values in the formula, we get:
<u>f = 0.0833 Hz</u>
Answer:
System D --> System C --> System A --> System B
Explanation:
The gravitational force between two masses m1, m2 separated by a distance r is given by:
where G is the gravitational constant. Let's apply this formula to each case now to calculate the relative force for each system:
System A has masses m and m separated by a distance r:
system B has masses m and 2m separated by a distance 2r:
system C has masses 2m and 3m separated by a distance 2r:
system D has masses 4m and 5m separated by a distance 3r:
Now, by looking at the 4 different forces, we can rank them from the greatest to the smallest force, and we find:
System D --> System C --> System A --> System B
Answer:
<u>A complete third electron shell holds </u><u>8</u><u> electrons</u>
<u>---------------------------</u>
<u>hope it helps...</u>
<u>have a great day!!</u>