A ball of mass m = 1.80 kg is released from rest at a heighth = 65.0 cm above a light vertical spring of force constantk as in Figure P5.64a. The ball strikes the top of the springand compresses it a distance d = 9.00 cm as in Figure P5.64b.Neglecting any energylosses during the colli-sion, find (a) the speedof the ball just as ittouches the spring and(b) the force constant ofтthe spring.ьFigure P5.64

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Asked Dec 18, 2019
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A ball of mass m = 1.80 kg is released from rest at a height
h = 65.0 cm above a light vertical spring of force constant
k as in Figure P5.64a. The ball strikes the top of the spring
and compresses it a distance d = 9.00 cm as in Figure P5.64b.
Neglecting any energy
losses during the colli-
sion, find (a) the speed
of the ball just as it
touches the spring and
(b) the force constant of
т
the spring.
ь
Figure P5.64
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A ball of mass m = 1.80 kg is released from rest at a height h = 65.0 cm above a light vertical spring of force constant k as in Figure P5.64a. The ball strikes the top of the spring and compresses it a distance d = 9.00 cm as in Figure P5.64b. Neglecting any energy losses during the colli- sion, find (a) the speed of the ball just as it touches the spring and (b) the force constant of т the spring. ь Figure P5.64

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Expert Answer

Step 1

a)

Apply law of conservation of energy

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KENAL - KENTIAL = (PENITIAL - PEINAL )GRAV +(PENTAL – PEENAL )ELASTIC FINAL ELA mv, = mgh-0 V, = /2gh

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Step 2

Then,

...
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v, = 2(9.8m/s)(65x10-°m = 3.57m/s

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