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Starting from rest, a 31.4 kg child rides a 8.75 kg sled down a frictionless ski slope. At the bottom of the hill, her speed is 6.0 m/s. If the slope makes an angle of 13.1° with respect to the horizontal, how far along the hill did she slide on her sled? distance= m

Question
Starting from rest, a 31.4 kg child rides a 8.75 kg sled down a frictionless ski slope. At the bottom of the hill, her speed is 6.0 m/s. If the slope makes an angle of 13.1° with respect to the horizontal, how far along the hill did she slide on her sled?
 
distance=
 
m
check_circleAnswer
Step 1

At the top of the hill the speed is zero. At, the bottom of the hill, the speed is 6 m/s.   The slope is frictionless. So, the child will slide down on her sled with some acceleration due to gravity (as shown in the figure below).

The slope of the hill is at an angle 13.1 degree w.r.t the horizontal. So, the acceleration of the sled along the hill will be 'g sin (13.1)'.

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Step 2

The time taken for the child to slide from top to bottom will be:

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Step 3

Now, the distance(s) along which the child sl...

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