Predict/Calculate A lead weight with a volume of 0.82 × 10 −5 m 3 is lowered on a fishing line into a lake to a depth of 1.0 m. (a) What tension is required in the fishing line to give the weight an upward acceleration of 2.1 m/s 2 ? (b) If the initial depth of the weight is increased to 2.0 m, does the tension found in part (a) increase, decrease, or stay the same? Explain. (c) What acceleration will the weight have if the tension in the fishing line is 1.2 N? Give both direction and magnitude.
Predict/Calculate A lead weight with a volume of 0.82 × 10 −5 m 3 is lowered on a fishing line into a lake to a depth of 1.0 m. (a) What tension is required in the fishing line to give the weight an upward acceleration of 2.1 m/s 2 ? (b) If the initial depth of the weight is increased to 2.0 m, does the tension found in part (a) increase, decrease, or stay the same? Explain. (c) What acceleration will the weight have if the tension in the fishing line is 1.2 N? Give both direction and magnitude.
Predict/Calculate A lead weight with a volume of 0.82 × 10−5 m3 is lowered on a fishing line into a lake to a depth of 1.0 m. (a) What tension is required in the fishing line to give the weight an upward acceleration of 2.1 m/s2? (b) If the initial depth of the weight is increased to 2.0 m, does the tension found in part (a) increase, decrease, or stay the same? Explain. (c) What acceleration will the weight have if the tension in the fishing line is 1.2 N? Give both direction and magnitude.
A glass of water (height 15cm and diameter 7.0cm) sits on a dining table. The coefficient of static friction between the glass and the table's surface is 0.35. Determine the maximum height (ℎ) above the tabletop at which you can push horizontally, with your fingertip, and cause the glass to slide without tipping.
10) A 22 Kg rock is resting on the bottom of a lake and
must be lifted out of the way. The rock has a density
of 2187 kg/m³. What force is needed to lift the rock
while underwater?
Fuet - Fw (m g) – (he v.s)
N
1) At any time, approximately 20 volcanoes are actively erupting on the Earth, and 50-70
volcanoes erupt each year. Over the past 100 years, an average of 850 people have died each
year from volcano eruptions. As scientists and engineers study the mechanics of lava flow,
accurately predicting the flow rate (velocity) of the lava is critical to saving lives after an
eruption. Jeffrey's equation captures the relationship between flow rate and viscosity as:
pgr sin(a)
3µ
where p is the density of the lava, g is
gravity, t is the flow thickness, a is
the slope, and µ is the lava viscosity.
Typical values are given as follows
V =
%3D
Flow
t=28 cm
10°
for the flow rate:
H= 4x10' kg/(m.s) +1%
p= 2.5 g/cm +1%
t= 28 cm +0.5 cm
a= 10° +1 °
g= 9.81 m/s?
Determine the likely maximum possible error in the calculated value of the flow rate.
Chapter 15 Solutions
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