Solution:
Let the slope of the best fit line be represented by ''
and the slope of the worst fit line be represented by ''
Given that:
= 1.35 m/s
= 1.29 m/s
Then the uncertainity in the slope of the line is given by the formula:
(1)
Substituting values in eqn (1), we get
= 0.03 m/s
Answer:
The angular velocity is
Explanation:
From the question we are told that
The mass of the block is
The of the pulley is
The radius of the pulley is
The radius of the cord around the pulley is
The distance of the block to the floor is
From the question we are told that the moment of inertia of the pulley is
Substituting value
Using the Newtons law we can express the force acting on the vertical axis as
=>
Now when the pulley is rotated that torque generated on the massless cord as a r result of the tension T and the radius of the cord around the pulley is mathematically represented as
Here is the angular acceleration
Here is the torque which can be equivalent to
Substituting this above
Substituting for T
Here is the linear acceleration which is mathematically represented as
making the subject
Substituting values
Now substituting into the equation above to obtain the acceleration
This acceleration is
and v is the linear velocity with is mathematically represented as
Substituting this into the formula acceleration
making t the subject
substituting value
Now the linear velocity is
The angular velocity is
So
Generally 1 radian is equal to 0.159155 rounds or turns
So 5.59 radian is equal to x
Now x is mathematically obtained as
Also
60 second = 1 minute
So 1 second = z
Now z is mathematically obtained as
z
Therefore
We have that the electric field at the center of the metal ball due only to the charges on the surface of the metal ball is
From the question we are told that
A solid metal ball of radius 1.5 cm
bearing a charge of -15 nC is located near a hollow plastic ball of radius 1.9 cm bearing
uniformly distributed charge of -7 nC
The distance between the centers of the balls is 9 cm
Generally the equation for the electric field is mathematically given as
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