Answer:
0.5 g
Explanation:
The half-life of a radioactive isotope is the time it takes for a certain amount of that isotope to halve.
In this case, we have an isotope of Americium-241, which has a half-life of

This means that after 1 half-life (432 years), there will be an amount of americium equal to half its initial amount.
In this problem, the initial amount of americium is

Therefore, after 432 years (1 half-life), the amount of americium left will be half:

Answer:
B. t = 0.250s
Explanation:
A. An image with the sketch of the bat emitting a sound, which reflects on a surface and return to the bat is attached below.
B. In order to calculate the time that the pulse emitted by the bat, return to the bat, you first calculate the time that pulse takes to arrive to the object.
You use the following formula:
(1)
x: distance to the object = 43m
t: time = ?
v: speed of sound beat = 343 m/s
You solve the equation (1) for t:

The time on which the bat hears the echo is twice the value of t, that is:

The time on which bat heart the echo of its sound, from the moment on which bat emitted it, is 0.250s
Answer:
Explanation:
Inital KE = (1/2) m v^2 = (1/2) * 1500 * 50^2 = 1,875,000 J
Final KE = (1/2) * 1500 * 100^2 = 7,500,000 J
But ,
4 * 1875000 = 7500000
so the KE has increased by 4 times.
Answer:
the correct answer is D.) 2,4
Answer:
25.2 km east
Explanation:
The relationship between velocity and displacement is given by:

where
v is the velocity
d is the displacement
t is the time
In this problem, we have:
east is Rebecca's velocity
is the time taken
Re-arranging the equation, we can find Rebecca's displacement:

and the direction is same as velocity (east)