A 66-kg skier starts from rest at the top of a 1200-mlong trail which drops a total of 230 m from top to bottom. at the bottom, the skier is moving 11.0 m/s. how much energy was dissipated by friction?

Respuesta :

W0lf93
Energy dissipated by friction is E Initial Ei=mgh Final Ef=1/2 mv^2 then subtracted Ef-Ei, ΔE = 0 m g h -- E – 1/2 m v² = 0 66 (9.8) (250) - E - ½ (66)(14)² = 0 E = (9.8)(250) – ((14)^2)/2 E = 155.232kJ

A total of 1.4 × 10⁵ Joule energy was dissipated by friction

[tex]\texttt{ }[/tex]

Further explanation

Let's recall Kinetic Energy Formula as follows:

[tex]Ek = \frac{1}{2}mv^2[/tex]

Ek = Kinetic Energy ( Joule )

m = mass of the object ( kg )

v = speed of the object ( m/s )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

mass of skier = m = 66 kg

height of trail = h = 230 m

velocity of skier = v = 11.0 m/s

Asked:

work done by friction = W = ?

Solution:

[tex]W = Ep - Ek[/tex]

[tex]W = mgh - \frac{1}{2}mv^2[/tex]

[tex]W = 66(9.8)(230) - \frac{1}{2}(66)(11.0)^2[/tex]

[tex]W = 148764 - 3993[/tex]

[tex]W = 144771[/tex]

[tex]W \approx 1.4 \times 10^5 \texttt{ Joule}[/tex]

[tex]\texttt{ }[/tex]

Conclusion:

A total of 1.4 × 10⁵ Joule energy was dissipated by friction

[tex]\texttt{ }[/tex]

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

[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

[tex]\texttt{ }[/tex]

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

Ver imagen johanrusli