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Flying Puck Consider a small frictionless puck perched at the top of a fixed2.sphere of radius R. If the puck is given a tiny nudge so that it begins to slide down,through what vertical height will it descend before it leaves the surface of the sphere?Hint: Use conservation of energy to find the puck's speed as a function of its height,then use Newton's second law to find the normal force of the sphere on the puck. Atwhat value of this normal force does the puck leave the sphere?

Question
Flying Puck Consider a small frictionless puck perched at the top of a fixed
2.
sphere of radius R. If the puck is given a tiny nudge so that it begins to slide down,
through what vertical height will it descend before it leaves the surface of the sphere?
Hint: Use conservation of energy to find the puck's speed as a function of its height,
then use Newton's second law to find the normal force of the sphere on the puck. At
what value of this normal force does the puck leave the sphere?
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Flying Puck Consider a small frictionless puck perched at the top of a fixed 2. sphere of radius R. If the puck is given a tiny nudge so that it begins to slide down, through what vertical height will it descend before it leaves the surface of the sphere? Hint: Use conservation of energy to find the puck's speed as a function of its height, then use Newton's second law to find the normal force of the sphere on the puck. At what value of this normal force does the puck leave the sphere?

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check_circleAnswer
Step 1

Given:

Radius of the sphere = R

Step 2

Calculating the vertical height of the puck before it breaks off the surface:

N
R
R
mg
Lut anume, the puck (alls down a
heeghtf
a cnergy couservation,
ertical
bjene breaking off the turface
mgt=mu
2.
2
At the th of breaki off.
i'me
N= mu(autripital)
mg coe
R
also, N o (blockOR Puck leavų tlu tur face
Hence
Cos
Z
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N R R mg Lut anume, the puck (alls down a heeghtf a cnergy couservation, ertical bjene breaking off the turface mgt=mu 2. 2 At the th of breaki off. i'me N= mu(autripital) mg coe R also, N o (blockOR Puck leavų tlu tur face Hence Cos Z

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Step 3

Calculating the final va...

From the
. diagoam
Reanrauginy for cos0, wso = R-H
R-RCO60
H
2
from ea 2
1
0sing enandO, n= (R-M) R
Srs
2.
3
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From the . diagoam Reanrauginy for cos0, wso = R-H R-RCO60 H 2 from ea 2 1 0sing enandO, n= (R-M) R Srs 2. 3

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Tagged in

Science

Physics

Newtons Laws of Motion

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