PLEASE HELP ME CORRECT ANSWERS ONLY
1 answer:
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Answer:
A) d = v² / (2g (μ cos θ + syn θ) B) μ = tan θ
Explanation:
Part A
We can work this part with the work and energy theorem, where the work of the friction forces is equal to the energy change of the system.
The work is
W = fr .d
With the force of friction it opposes the movement
W = - fr d
The energy at the lowest point is
Em₀ = K = ½ m v²
The energy at the highest point
= U = m g y
The height (y) can be found by trigonometry
sin θ = y / d
y = d sin θ
W = –Em₀
-fr d = mg d sin θ - ½ m v²
The equation for the force of friction is
fr = μ N
From Newton's second law
N - W cos Te = 0
We replace
-μ (mg cos θ) d - mg d sin θ = - ½ m v²
d g (μ cos θ + sin θ) = ½ v²
d = v² / (2g (μ cos θ + syn θ)
Part B
The block is stopped, what is the Angle tet, let's use Newton's second law
fr - W sin θ = 0 ⇒ fr = W sin θ
N - W cos θ= 0 ⇒ N = w cos θ
fr = μ N
μ (mg cos θ) = mg syn θ
μ = syn θ / cos θ
μ = tan θ
we know that
the speed is equal to
The slope of the line on the graph is equal to the speed of the car
so
during the segment B the slope of the line is equal to zero
that means
the speed of the car is zero
therefore
<u>the answer is the option B</u>
The car has come to a stop and has zero velocity
Answer:
N = 2500
Explanation:
By definition, the sampling frequency (fs) is:
<em>where N: is the number of samples and T: is the time</em>
Hence, the number of samples at the sampling frequency, 500 Hz, to get 5 seconds of data is:
I hope it helps you!