10. A 40 kg mass is attached to one end of a spring, which has a spring constant of 700 N/m. The other end of the spring is attached to the bottom of a full tank of water. The mass has a volume of 0.25 m3 and is completely submerged in the water. a. Will the mass float, sink, or remain stationary? b. If the mass sinks or floats, determine how far the spring will compress or stretch?

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
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Chapter34: Frontiers Of Physics
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10. A 40 kg mass is attached to one end of a spring, which has a spring constant of 700 N/m. The other end of the spring is attached to the bottom of a full tank of water. The mass has a volume of 0.25 m3 and is completely submerged in the water.
a. Will the mass float, sink, or remain stationary?
b. If the mass sinks or floats, determine how far the spring will compress or stretch?

Formulas:
F = ma
weight = mg
Xp = X; + V;t + at?
Vf = Vị + at
W = Fd
PEG = mgh
mv?
%D
KE =
Fs = -kx
PEĘ = -kx2
%3D
small force X BIG DISTANCE = BIG FORCE X small distance
P = =
F1
F2
FB = PriuiaVg
%3D
%3D
A1
A2
P, + -pv? + pgh,
= P2 + pv3 + pgh,
Q = MCAT = mc(T, – T,)
v = af T= 2m =
T = 2n
k
%3D
F = k Q1Q2
r2
%3D
Constant: g = 9.8 m/s?
Sea Level Air Pressure = 101 kPa
P(water)
= 1000 kg
k = 8.988 × 109 Nm2
C2
Transcribed Image Text:Formulas: F = ma weight = mg Xp = X; + V;t + at? Vf = Vị + at W = Fd PEG = mgh mv? %D KE = Fs = -kx PEĘ = -kx2 %3D small force X BIG DISTANCE = BIG FORCE X small distance P = = F1 F2 FB = PriuiaVg %3D %3D A1 A2 P, + -pv? + pgh, = P2 + pv3 + pgh, Q = MCAT = mc(T, – T,) v = af T= 2m = T = 2n k %3D F = k Q1Q2 r2 %3D Constant: g = 9.8 m/s? Sea Level Air Pressure = 101 kPa P(water) = 1000 kg k = 8.988 × 109 Nm2 C2
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