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A child sleds down a frictionless hill with vertical drop h. At the bottom is a level stretch where the coefficient of friction is 0.27.

If she slides 19 m across the level stretch, what's h? Express your answer with the appropriate units.

Respuesta :

Answer:

Explanation:

Velocity at the bottom of height h

= √2gh

deceleration on rough horizontal surface

= μg , μ is coefficient of friction

= .27 x 9.8

= 2.646 m / s²

v² = u² - 2as

0 = 2gh - 2 x 2.646 x 19

h =  2 x 2.646 x 19  / 2 x 9.8

= 5.13 m  

The height should be 5.13m.

Calculation of the height:

Velocity refers to the rate where the position changes. The average velocity should be considered as the displacement or position change.

Since

Velocity at the bottom of height h = √2gh

Here

μg , μ be the coefficient of friction

Now

= .27 x 9.8

= 2.646 m / s²

Now

v² = u² - 2as

0 = 2gh - 2 x 2.646 x 19

h =  2 x 2.646 x 19  / 2 x 9.8

= 5.13 m  

Therefore, we can conclude that The height should be 5.13m.

Learn more about friction here: https://brainly.com/question/18519949