Which of the following examples illustrates Newton’s second law of motion?
2 answers:
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Answer:
No, the net force on the skydiver is zero
Explanation:
According to Newton's Second Law, the net force on an object is equal to the product between the mass of the object and its acceleration:
where
F is the net force
m is the mass of the object
a is the acceleration
In this problem, the acceleration of the skydiver is zero:
a = 0
This implies that also the net force on the skydiver is zero, according to the previous equation:
F = 0
So, the net force on the skydiver is zero. This occurs because the air resistance, which points upward, exactly balances the force of gravity on the skydiver, acting downwards.
By defining kinematics and derivative relations we can find which statements are true or false:
a) False. The derivative is the instantaneous velocity.
b) True. The second drift is the instantaneous acceleration.
c) False the derivative is
d) False the derivative is
a) The velocity is defined with the variation of the position with respect to time.
Wher x is the position and t the time.
In the change of the average velocity is the average value of the velocity in an interval
We can see that the derivative is the speed in a very small timet, that is, the speed instantaneous. Therefore the statement is False.
The prime derivative of the position is the instantaneous velocity, not the average velocity.
b) Acceleration is defined as the change in position with respect to time..
Let's use the chain rule.
a =
a =
Therefore the second derivative of the position is the instantaneous acceleration.
The statement is True.
Questions c and d ask the derivative of a function
f (x) = 2 x aⁿ
c) derivative with respect of x
The answer is False.
d) derivative with respect to a.
Answer d is false
In conclusion using the definition of kinematics and derivative relations we can find which statements are true.
a) False. The derivative is the instantaneous velocity.
b) True. The second drift is the instantaneous acceleration.
c) False the derivative is:
d) False the derivative is:
Learn more about the relationship between derivatives and kinematics here: brainly.com/question/15344251