Answer:
The displacement is 
The distance is 
Explanation:
From the question we are told that
The height from which the ball is dropped is 
The height attained at the first bounce is 
The height attained at the second bounce is 
The height attained at the third bounce is 
Note : When calculating displacement we consider the direction of motion
Generally given that upward is positive the total displacement of the ball is mathematically represented as
Here the 0 show that there was no bounce back to the point where Billy released the ball
=>
Generally the distance covered by the ball is mathematically represented as
The 2 shows that the ball traveled the height two times
=>
I<span>f you have studied enzymes its a similar concept. Cells have proteins on the surface of their cell which hormones bind to (called receptors) The receptor must be a complimentary shape to the hormone for it to bind. Only target cells have the receptor with the complimentary shape so only these cells will be affected.</span>
Answer:
55 min
Explanation:
The missing question is: how long does the trip take?
First of all, we need to find the initial distance covered by Dylan. In the first part, he rides for
at a speed of
v = 15 mph
therefore, the distance he covered is
Then Dylan stopped for a time of
Finally, on the way back, Dylan covered again this distance but travelling at a new speed of
v = 10 mph
So, the time he took is
So, the total time of the trip was
Answer:
Half as large.
Explanation:
Using Newton's law of universal gravitation, if the mass of the planet is <em>M</em> and of the Moons 1 and 2 is <em>m</em>, them the force exerted by the planet on them will be:
Which clearly shows that the force that the planet exerts on the Moon 2 is half the force it exerts on the Moon 1.
Answer:
A half-life is the time required for one half of the nuclei in a radio- active isotope to decay.
Explanation:
A radio-active isotope is an isotope which undergoes radioactive decay.
Radioactive decay is a spontaneous process in which the nucleus of an atom changes its state (turning into a different nucleus, or de-exciting), emitting radiation, which can be of three different types: alpha, beta or gamma.
The half-life of a radio-active isotope is the time required for half of the nuclei of the initial sample to decay.
The law of radio-active decay can be expressed as follows:
where
N(t) is the number of undecayed nuclei left at time t
N0 is the initial number of nuclei
t is the time
is the half-life
We see that when 
(that means, when 1 half-life has passed), the number of undecayed nuclei left is
So, half of the initial nuclei.
