A cliff diver running 3.60 m/s dives out horizontally from the edge of a vertical cliff and reaches the water below 2.00 s later
1 answer:
Explanation:
It is given that,
The horizontal speed of a cliff diver,
It reaches the water below 2.00 s later, t = 2 s
Let is the distance where the diver hit the water. It can be calculated as follows :
Let is the height of the cliff. It can be calculated using second equation of motion as follows :
So, the cliff is 19.6 m high and it will hit the water at a distance of 19.6 m.
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Answer:
The spacing between the slits is
Explanation:
From the question we are told that
The wavelength of the light is
The distance of the slit from the screen is
The number of bright fringe is
The length the fringes span is
The fringe width (i.e the distance of between two successive bright or dark fringe) is mathematically represented as
Where d is the distance between the slits
is the fringe width which can also be evaluated as
Substituting values
Making d the subject of formula in the above equation
Substituting values
During a rodeo, a clown runs 7.7 m north, turns 49.9 degrees east of north, and runs 6.4 m. Then after waiting for the bull to come near, the clown turns due east and runs 19.8 m to exit the arena. The magnitude of the clown’s displacement is 27 m.
<u>Explanation: </u>
As the clown is running in the north direction for about 7.7 m and then he turns 49.9 degrees east of north. In the east of north, he covers a distance of 6.4 m and then turns east to exit the arena after covering a distance of 19.8 m. Let’s have a simple diagram to easily understand the problem.
In first step, the clown runs 7.7 m in north direction, so the image will be as in fig 1. Then he takes a direction of north east and covers a distance of 6.4 m, so the image will be modified as in fig 2. Then after the bull comes, he turns east and runs 19.8 m to exit the arena, so the image will be as in figure 3.
So, the extension of North line and the East line at a point shown as the dotted line in the above image, forms the total displacement as the hypotenuse of a right angled triangle. The extended dotted lines is nothing but the horizontal and vertical components of the angle 49.9 degree.
By using Pythagoras theorem, the total displacement can be found as
Similarly, the adjacent side of this imaginary triangle is the distance covered by the clown in the North direction.
Thus, the total displacement covered by the clown is
Thus, the total displacement by the clown is 27 m.
