Split the operation in two parts. Part A) constant acceleration 58.8m/s^2, Part B) free fall.
Part A)
Height reached, y = a*[t^2] / 2 = 58.8 m/s^2 * [7.00 s]^2 / 2 = 1440.6 m
Now you need the final speed to use it as initial speed of the next part.
Vf = Vo + at = 0 + 58.8m/s^2 * 7.00 s = 411.6 m/s
Part B) Free fall
Maximum height, y max ==> Vf = 0
Vf = Vo - gt ==> t = [Vo - Vf]/g = 411.6 m/s / 9.8 m/s^2 = 42 s
ymax = yo + Vo*t - g[t^2] / 2
ymax = 1440.6 m + 411.6m/s * 42 s - 9.8m/s^2 * [42s]^2 /2
ymax = 1440.6 m + 17287.2m - 8643.6m = 10084.2 m
Answer: ymax = 10084.2m
Answer:
Atomic radius decreases moving from left to right across a period.
Explanation:
When we move left to right across a period, the size of atoms generally decreases. It is because within the period the outer electrons are in same valence shell and the number of electrons and proton increases moving from left to right across the the period. It increases the effective nuclear charge resulting in the increased attraction of electron to the nucleus that causes the decreased radius of the atoms.
The amplitude is 0.8 cm. The wavelength is 2.0 cm.
ANSWER:
0.0562 J
STEP-BY-STEP EXPLANATION:
Angular momentum is expressed in terms of moment of inertia and angular velocity. This is expressed as follows:
Here, I is the angular momentum and ω is the angular velocity.
Angular momentum is mass time the square of the radius of the object. Moment of inertia for a uniform disk is given as,
Here, m is the mass of the disk and r is the radius of the disk.
Replacing:
Convert the units of angular velocity into rad/s.
We replace each data to calculate the angular momentum:
The angular momentum of the uniform disk is 0.0562 J
Given :
Mass of brick, m = 2 kg.
Speed of block, v = 12 m/s .
To Find :
The momentum of the brick.
Solution :
We know, momentum of any object is given by :
Momentum = Mass × Speed
Momentum = m × v
Momentum = 2 kg × 12 m/s
Momentum = 24 kg m/s
Therefore, the momentum of the brick is 24 kg m/s .
