Question #102419

. A child of mass 30 kg skates down from the top of a ramp having a constant slope of

15. The child’s speed increases from 1 1.5ms to 1 3.0ms as she reaches the

bottom of the ramp. A force of kinetic friction of magnitude 50 N opposes her

motion. Draw the appropriate force diagram and determine the length of the ramp.

Take 10ms .

15. The child’s speed increases from 1 1.5ms to 1 3.0ms as she reaches the

bottom of the ramp. A force of kinetic friction of magnitude 50 N opposes her

motion. Draw the appropriate force diagram and determine the length of the ramp.

Take 10ms .

Expert's answer

Considering the force acting parallel to the ramp from the diagram

"30gsin(15^0)-50=30a"

where a is the acceleration of the box,

"a=0.87ms^{-2}"

To find the the length of the ramp s,

applying equation "v^2=u^2+2as \\\\\n13^2=11.5^2+2\\times0.87\\times s \\\\\ns=21.12m"

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