Answer:
a)693.821N/m
b)17.5g
Explanation:
We the Period T we can find the constant k,
That is
squaring on both sides,
where,
M=hanging mass, m = spring mass,
k =spring constant
T =time period
a) So for the equation we can compare, that is,
the hanging mass M is x here, so comparing the equation we know that
b) In order to find the mass of the spring we make similar process, so comparing,
Answer:
a)
b)
c)
Explanation:
From the exercise we know that the ball strikes the building 16m away and its final height is 8m more than the initial
Being said that, we can calculate the initial velocity of the ball
a) First we analyze its horizontal motion
(1)
That would be our first equation
Now, we need to analyze its vertical motion
Knowing in our first equation (1)
Solving for t
So, the ball takes to seconds to get to the other building. Now we can calculate its <u>initial velocity</u>
b) To find the <u>magnitude of the ball just before it strikes the building</u> we need to calculate its x and y components
So, the magnitude of the velocity is:
c) The <u><em>direction of the ball</em></u> is:
Answer:
Spring constant, k = 0.3 N/m
Explanation:
It is given that,
Force acting on DNA molecule,
The molecule got stretched by 5 nm,
Let k is the spring constant of that DNA molecule. It can be calculated using the Hooke's law. It says that the force acting on the spring is directly proportional to the distance as :
k = 0.3 N/m
So, the spring constant of the DNA molecule is 0.3 N/m. Hence, this is the required solution.