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3 years ago

A baseball player slides into third base with an initial speed of 4.0 m/s. If the coefficient of

2 answers:

6 0

The frictional force is given by F = μmg

where μ is the coeficient of friction.

Work done by frictional force = Fd = μmgd

Kinetic energy "lost" = 1/2 mv²

Since we know that W = ΔK,

so, Fd = μmgd = 1/2 mv²

The m's cancel μgd = v² / 2

d = v² / 2μg

d = 4² / 2(0.46)(9.81)

d = 16 / 2(0.46)(9.81)

d = 1.77

Player slides 1.77 m .

musickatia [10]3 years ago

3 0

The frictional force is given by F = μmg

where μ is the coeficient of friction. 

Work done by frictional force = Fd = μmgd 

Kinetic energy "lost" = 1/2 mv² 

Fd = μmgd = 1/2 mv² 

The m's cancel μgd = v² / 2 

d = v² / 2μg 

d = 8² / 2(0.41)(9.8) 

d = 32 / (0.41)(9.8) 

d = 7.96 

Player slides 8 m . 

Note. In your other example μ = 0.46 and v = 4 m/s 

d = v² / 2μg 

= 4² / 2(0.46)(9.8) 

= 8 / (0.46)(9.8) 

= 1.77 or 1.8 m.

Hope i Helped :D

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