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You and your bicycle have combined mass 80.0 kg. When you reach the base of a bridge, you are travelling along the road at 7.50 m/s. At the top of the bridge, you have climbed a vertical distance of 5.20 m and have slowed to 3.00 m/s. Ignore work done by friction and any inefficiency in the bike or your legs.

Part A
What is the total work done on you and your bicycle when you go from the base to the top of the bridge?

Part B
How much work have you done with the force you apply to the pedals?

Respuesta :

okpalawalter8

We have that K.E and work done is

  • [tex]K.E=-1890J[/tex]
  • [tex]W=2186J[/tex]

From the Question we are told that

mass= 80.0 kg

Velocity= 7.50 m/s.

vertical distance of 5.20 m

Slowed to 3.00 m/s.

Generally the equation for Kinetic energy   is mathematically given as

[tex]K.E=\frac{mv^2}{2}-\frac{mv^2}{2}\\\\K.E=\frac{80*3^2}{2}-\frac{80*7.5^2}{2}[/tex]

[tex]K.E=-1890J[/tex]

B)

[tex]P.E=mgh\\\\P.E=80*9.8*5.2\\\\P.E=4076[/tex]

Therefore

[tex]W=4076-1890J[/tex]

[tex]W=2186J[/tex]

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