A sled is being pulled along a horizontal surface by a horizontal force f⃗ of magnitude 600 n. starting from rest, the sled speeds up with acceleration 0.08 m/s2 for 1 minute. part f find the average power pavg created by the force f⃗ .

Respuesta :

f = 600 N, the applied force
a = 0.08 m/s², the acceleration
t = 1 min = 60 s, the duration

Calculate the distance traveled.
s = (1/2)at²
   = 0.5*(0.08 m/s²)*(60 s)²
   = 144 m

Because the force remains constant, the work done is
W = f*s
    = (600 N)*(144 m)
    = 86400 J

The average power is
Pavg = (86400 J)/(60 s) = 1440 W

Answer:  1440 W

The average power created by the force F is 1440 W

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Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

[tex]\large {\boxed {F = ma }[/tex]

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

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Given:

magnitude of horizontal force = F = 600 N

acceleration of sled = a = 0.08 m/s²

elapsed time = t = 1 min = 60 s

Asked:

average power by the force F = ?

Solution:

[tex]P = W \div t[/tex]

[tex]P = ( F d ) \div t[/tex]

[tex]P = F ( \frac { 1}{2} at^2 ) \div t[/tex]

[tex]P = \frac{1}{2} F a t[/tex]

[tex]P = \frac{1}{2} \times 600 \times 0.08 \times 60[/tex]

[tex]P = 1440 \texttt{ W}[/tex]

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Learn more

  • Impacts of Gravity : https://brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
  • The Acceleration Due To Gravity : https://brainly.com/question/4189441
  • Newton's Law of Motion: https://brainly.com/question/10431582
  • Example of Newton's Law: https://brainly.com/question/498822

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Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

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