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A child whose weight is 190N slides down a playground slide that makes an angle of...

A child whose weight is 190N slides down a playground slide that makes an angle of 29 degrees with a horizontal and has a length of 9.4m. The coefficient of kinetic friction between the slide and the child is 0.35.
a) What is the height of the slide?
b) What is the change in gravitational potential energy of the child?
c) Draw the free-body diagram of the child
d) Calculate the frictional force on the child
e) How much energy is transferred to thermal energy?
f) If she starts from rest at the top, what is her speed at the bottom?

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Answer #1

c)

a)What is the height of the slide?

ANSWER:

=====================

b) What is the change in gravitational potential energy of the child?

change in gravitational potential energy =

ANSWER:

===========================

d) Calculate the frictional force on the child

Frictional Force =

ANSWER:

=======================

e) How much energy is transferred to thermal energy?

Thermal Energy =Work done on Friction

ANSWER:

=============================

f) If she starts from rest at the top, what is her speed at the bottom?

Potential Energy is Converted to kinetic energy and some energy is lost to friction

From b) and e)

ANSWER :

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