Answer:
Given that
T= 0.43 s
Radius of the ball path's , r=2.1 m
a)
We know that
f= 1/T
Here f= frequency
T= Time period
Now by putting the values
f= 1/T
T= 0.43 s
f= 1/0.43
f=2.32 Hz
b)
We know that
V= ω r
ω = 2 π f
ω=Angular speed
V= Linear speed
ω = 2 π f=ω = 2 x π x 2.32 =14.60 rad/s
V= ω r= 14.60 x 2.1 = 30.66 m/s
c)
Acceleration ,a
a =ω ² r
a= 14.6 ² x 2.1 = 447.63 m/s²
We know that g = 10 m/s²
So
a= a/g= 447.63/10 = 44.7 g m/s²
a= 44.7 g m/s²
Answer: 0.048 J
Explanation:
The described situation is better understood with the attached figure.
Let's assume that when the mass is released after being lifted up, it starts performing simple harmonic motion with an amplitude L. Then, the maximum speed of this hanging mass is fulfilled at the equilibrium position and its given by the following equation:
(1)
Where:
is the spring constant which can be calculated by the Hooke's law: being the acceleration due gravity and the length the spring is streched.
is the mass
is the amplitude
So, (2)
Substituting (2) in (1):
(3)
(4)
On the other hand, the kinetic energy is given by the following equation:
(5)
(6)
Hence:
Then the separation between the two pennies will be O.354m.
To find the correct answer, we need to know about the electrostatic force of attraction.
<h3>What is the separation between the pennies?</h3>
- We have given with the information's,
- As we know that the charge of one electron is 1.6×10^-19C.Thus, the total charge on the penny will be,
- We have the expression for electrostatic force of attraction as,
, here given that the electrostatic force equal to the weight of the system.
- We have to find the separation between the pennies.
Thus, we can conclude that the separation between the pennies is 0.354m.
Learn more about the electrostatic force here:
brainly.com/question/28108740
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