Answer:
The work done is
Explanation:
1. Define the formula of work.
In this case the work (W) done is the result of add up the kinetic energy and the potential energy , and subtract them at the initial and final states:
Replacing expressions:
In the initial state at the bottom of the stairs both kinetic and potential energy are equal to zero, because kinetic energy depends on velocity and her initial velocity is zero, and potential energy depends on height and her initial height is zero too.
So the work done is defined by:
(Eq.1)
2. Calculate the height:
The height of the stairs is 19m
3. Convert the mass of the woman from lbs to kg:
The woman heights 61kg
4. Replace values in (Eq.1):
Answer:
The value of g is
Explanation:
From the question we are told that
The mass of the weight is
The spring constant
The second harmonic frequency is
The number of oscillation is
The time taken is
Generally the frequency is mathematically represented as
At second harmonic frequency the length of the string vibrating is equal to the wavelength of the wave generated
Noe from the question the vibrating string is just half of the length of the main string so
Let assume the length of the main string is
So
The velocity of the vibrating string is mathematically represented as
Where T is the tension on the string which can be mathematically represented as
So
Then
=>
=>
=>
substituting values
Generally the period of oscillation is mathematically represented as
=>
The period can be mathematically evaluated as
substituting values
Therefore
so
substituting for L
=>
Answer: F = 3.28 × 10^-7 N
Explanation:
Alpha particle charge (q)= 2e
e = 1.6 × 10^-19
q = 2e = 2 × (1.6 *10^-19) = 3.2 × 10^-19
1/4πEo = 9 × 10^9
Distance(r) = 5.3 × 10^-11m
The force of attraction between the two particles is given by:
F = (1/4πEo) (q1q2 / r^2)
F = [(9 × 10^9) (3.2 × 10^-19) (3.2 × 10^-19)] / (5.3 × 10^-11)^2
F = (92.16 × 10^(9 - 19 - 19)) / 28.09 × 10^-22
F = (92.16 × 10^-29) / 28.09 × 10^-22
F = 3.28 × 10^(-29 + 22)
F = 3.28 × 10^-7 N