A ball is released from rest at the point (0, h) and slides down a y frictionless track. From conservation of energy the ball's speed h on the track is given by2g(h - y), where y the at any point b height. Recall that at in any short interval the time it takes to travel a distance ds is dt ds/v. C a) Find the time it takes to slide from the origin along the path 0. (the path is a straight line y a to xf h,yf h x) h x b) Check your solution by applying second Newton's law to a frictionless ramp (Physics 231) c) Find the time to slide from the origin along the path b h sin p, y h cos p where 0
A ball is released from rest at the point (0, h) and slides down a y frictionless track. From conservation of energy the ball's speed h on the track is given by2g(h - y), where y the at any point b height. Recall that at in any short interval the time it takes to travel a distance ds is dt ds/v. C a) Find the time it takes to slide from the origin along the path 0. (the path is a straight line y a to xf h,yf h x) h x b) Check your solution by applying second Newton's law to a frictionless ramp (Physics 231) c) Find the time to slide from the origin along the path b h sin p, y h cos p where 0
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Question
![A ball is released from rest at the point (0, h) and slides down a
y
frictionless track. From conservation of energy the ball's speed
h
on the track is given by2g(h - y), where y the
at any point
b
height. Recall that at in any short interval the time it takes to
travel a distance ds is dt ds/v.
C
a) Find the time it takes to slide from the origin along the path
0. (the path is a straight line y
a to xf h,yf
h
x)
h x
b) Check your solution by applying second Newton's law to a
frictionless ramp (Physics 231)
c) Find the time to slide from the origin along the path b
h sin p, y h cos p where 0 <p
(part of a circular shape with x
/2)
d) Find the time to slide from the origin along the path c (part ofa circular shape with
x h(1 - cos p), y h(1 - sin) where 0 p T/2)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d755b2-19f2-4b3c-83cb-a426817179e5%2Ff869c55d-772b-4303-ba06-a97d2977cb23%2Fv3lilg.jpeg&w=3840&q=75)
Transcribed Image Text:A ball is released from rest at the point (0, h) and slides down a
y
frictionless track. From conservation of energy the ball's speed
h
on the track is given by2g(h - y), where y the
at any point
b
height. Recall that at in any short interval the time it takes to
travel a distance ds is dt ds/v.
C
a) Find the time it takes to slide from the origin along the path
0. (the path is a straight line y
a to xf h,yf
h
x)
h x
b) Check your solution by applying second Newton's law to a
frictionless ramp (Physics 231)
c) Find the time to slide from the origin along the path b
h sin p, y h cos p where 0 <p
(part of a circular shape with x
/2)
d) Find the time to slide from the origin along the path c (part ofa circular shape with
x h(1 - cos p), y h(1 - sin) where 0 p T/2)
=
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