Answer:
The kinetic energy of the clam at a height of 5.0 m is 5.19 J and the speed of the clam at that height is 9.71 m/s.
<u>Explanation:
</u>
<em>Mechanical energy is constant throughout the travel</em>, we know that <em>mechanical energy is calculated by adding potential energy and kinetic energy</em>. Potential energy =
,
Kinetic energy =
and Mechanical energy =
Kinetic energy is zero at initial point. Now mechanical energy of clam with m=0.11kg,g=9.81
,h=9.8 m is = 0.11×9.81×9.8 = 10.58 J.
Mechanical energy of clam at a height of 5.0 m =
=
. We know that mechanical energy is constant hence, <em>mechanical energy of clam at height 9.8 m is equal to mechanical energy at height 5.0 m</em>. This is represented as following
10.58 =
10.58 – 5.39 =
5.19 =
kinetic energy of the clam is 5.19 J.
Now speed of the clam at height 5.0 m is 5.19 =
94.36 =
= 9.71 m/s. The speed of the clam is 9.71 m/s.
Answer:
Part a)

Part b)

Part c)

Explanation:
Part a)
The height of the diving board is given as

now the speed of the diver is given as

when the diver will jump into the water then his displacement in vertical direction is same as that of height of diving board
So we will have



Part b)

plug in the values in the above equation


Part c)
Horizontal distance moved by the diver is given as



so the distance from the edge of the pool is given as


The random variable in this experiment is a Continuous random variable.
Option D
<u>Explanation</u>:
The continuous random variable is random variable where the data can take infinite variables. For example random variable is taken for measuring "speed of automobiles" on the highways. The radar instrument depicts time taken by automobile in particular what speed. They are the generalization of discrete random variables not the real numbers as a random data is created. It gives infinite sets of all possible outcomes. It is obvious that outcomes of the instrument depend on some "physical variables" those are not predictable as depends on the situation.
Answer:
4 (please see the attached file)
Explanation:
While the angular speed (counterclockwise) remained constant, the angular acceleration was just zero.
So, the only force acting on the bug (parallel to the surface) was the centripetal force, producing a centripetal acceleration directed towards the center of the disk.
When the turntable started to spin faster and faster, this caused a change in the angular speed, represented by the appearance of an angular acceleration α.
This acceleration is related with the tangential acceleration, by this expression:
at = α*r
This acceleration, tangent to the disk (aiming in the same direction of the movement, which is counterclockwise, as showed in the pictures) adds vectorially with the centripetal force, giving a resultant like the one showed in the sketch Nº 4.