To solve this problem we will apply the concepts related to the kinematic equations of linear emotion. We will start from the definition of acceleration as the change of speed as a function of time. Later we will apply the second law of kinematics for which displacement is understood as a function of initial speed, time and acceleration. We will use the expressions given initially for acceleration as a function of velocity and we will obtain a system of equations that will allow us to find the initial velocity, and subsequently the acceleration
PART A)
Position is given as,
Replacing,
Reorganizing to find the initial speed
Replacing we have,
Therefore the speed of Antelope at first point is 5.23m/s
PART B)
The acceleration of the Antelope would be
Therefore the acceleration of the Antelope is
Answer:Strayer university/michigan state university/kent state university
Explanation:
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By Newton's second law,
<em>n</em> + (-<em>w</em>) = 0
<em>p</em> + (-<em>f</em> ) = (20 kg) (2 m/s²)
where <em>n</em> is the magnitude of the normal force, <em>w</em> is the weight of the box, <em>p</em> is the magnitude of the applied force (<em>p</em> for <u>p</u>ush or <u>p</u>ull), and <em>f</em> is the magnitude of the friction force.
Calculate the weight of the box:
<em>w</em> = (20 kg) (9.80 m/s²) = 196 N
Then
<em>n</em> = <em>w</em> = 196 N
and
<em>f</em> = <em>µ</em> <em>n</em> = 0.5 (196 N) = 98 N
Now solve for <em>p</em> :
<em>p</em> - 98 N = 40 N
<em>p</em> = 138 N
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