Answer:
because the light bounces off of the water creating a bend. the answer is d.
Answer:
The mass of the block, M =T/(3a +g) Kg
Explanation:
Given,
The upward acceleration of the block a = 3a
The constant force acting on the block, F₀ = Ma = 3Ma
The mass of the block, M = ?
In an Atwood's machine, the upward force of the block is given by the relation
Ma = T - Mg
M x 3a = T - Ma
3Ma + Mg = T
M = T/(3a +g) Kg
Where 'T' is the tension of the string.
Hence, the mass of the block in Atwood's machine is, M = T/(3a +g) Kg
Answer: 0.313 rad/s
Explanation:
The equation that relates the velocity
and the angular velocity
in the uniform circular motion is:
(1)
Where
is the radius of the space station (with a diaeter of 200m) that describes the uniform circular motion.
Isolating
from (1):
(2)
On the other hand, we are told the “artificial gravity” produced by the cetripetal acceleration
is
, and is given by the following equation:
(3)
Isolating
:
(4)
(5)
Substitutinng (5) in (2):
(6)
This is the angular velocity that would produce an “artificial gravity” of 9
.
Answer:
The oscillation frequency of the spring is 1.66 Hz.
Explanation:
Let m is the mass of the object that is suspended vertically from a support. The potential energy stored in the spring is given by :

k is the spring constant
x is the distance to the lowest point form the initial position.
When the object reaches the highest point, the stored potential energy stored in the spring gets converted to the potential energy.

Equating these two energies,

.............(1)
The expression for the oscillation frequency is given by :

(from equation (1))

f = 1.66 Hz
So, the oscillation frequency of the spring is 1.66 Hz. Hence, this is the required solution.
The Earth rotates due to the manner in which it was formed. Earth began its rotation from the spinning movement of the accretion disk. In short, the earth rotates because of angular momentum caused by the accretion disk.