A stunt cyclist needs to make a calculation for an upcoming cycle jump. The cyclist is traveling 100 ft/sec toward an inclined r
1 answer:
Answer:
Explanation:
The parametric equations of the cyclist are:
(1)
A) The horizontal velocity is the derivative of x(t), in time:
B) For A=20° the horizontal velocity is:
For A=45°:
C) To find the time in which the vertical velocity is zero you first obtain the derivative of, in time:
Next, you equal the vertical velocity to zero and solve for time t:
D) The maximum height is reached when the derivative of y (height) is zero. You use the previous value of t in the equation (1), equals y to 35. Next, you solve for t:
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Answer:
The Arsenic has three electron-containing orbitals. The orbitals s, p and d.
Explanation:
Arsenic is an element with an atomic number equal of 33, it means that it has 33 electrons in its orbitals in the following way:
Therefore, the Arsenic has three electron-containing orbitals (s, p d).
Answer:
Explanation:
using the law of the conservation of the linear momentum:
where is the inicial momemtum and
is the final momentum
the linear momentum is calculated by the next equation
P = MV
where M is the mass and V is the velocity.
so:
where m is the mass of the proton and is the velocity of the proton after the collision,
is the mass of the nucleus and
is the velocity of the nucleus after the collision.
therefore, we can formulate the following equation:
m(270 m/s) = m + 14m
then, m is cancelated and we have:
270 = +
This is a elastic collision, so the kinetic energy K is conservated. Then:
and
Kf =
then,
=
here we can cancel the m and get:
=
now, we have two equations and two incognites:
270 = +
(eq. 1)
=
in the second equation, we have:
36450 = (eq. 2)
from this last equation we solve for as:
and replace in the other equation as:
270 = 14
so,
Vp is negative because the proton go in the -i hat direction.
Finally, replacing this value on eq. 1 we get: