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An 84.7 kg cross country skier on snow has μk=0.131. With how much force must he push to move at a constant speed? ( Unit = N)

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Answer:

[tex] \: \: \: \: \boxed{ \boxed {\large\rm{108.7 \: N}}}[/tex]

Explanation:

The force required for the skier to move at a constant speed can be calculated by using the formula:

[tex] \sf \: \: F_k = \mu_k \times N [/tex]

where :

  • [tex] \sf\mu_k[/tex] is coefficient of Kinetic friction
  • N is normal Force

Normal force can be calculated by using the formula:

  • N = mg

where :

  • m is mass of the body
  • g is gravitational constant (9.8 m/s²)

[tex] \sf N = 84.7 \times 9.8 [/tex]

[tex] \sf N = 830.06 \ N [/tex]

Now let's calculate the Force :

[tex] \sf F_k = \mu_k \times N [/tex]

[tex] \sf F_k = 0.131 \times 830.06 \ N[/tex]

[tex] \sf F_k = 108.7 \: N [/tex]

  • Hence, the force required for the skier to move at a constant speed is 108.7 N .

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