1.13 If a pump discharges 284 l pm of water whose density is 985 kg/m', find (a) the mass flow rate, kg/min, and (b) the total time required to fill a vertical cylindrical tank 3.05 m in diameter and 3.05 m high.

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Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 40P: A service elevator takes a load of garbage, mass 10.0 kg, from a floor of a skyscraper under...
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can you please give me the solution for 1.13, thanks

5号
cord tension is (a) 25 N, (b) 15 N, (c) 35 N?
1.4 For a ballistics study, a 1.9 gm bullet
is fired into soft wood. The bullet strikes the
wood surface with a velocity of 380 m/s and
penetrates 0.15 m. Find (a) the constant
retarding force, N, (b) the time required to
stop the bullet, (c) the deceleration, m/s'.
1.5 Assume 50 kg of mass are placed on
the pan of a spring balance located on a
freight elevator; local gravity acceleration is
9.70 m/s?. (a) When the élevator is moving
with an upward acceleration of 2.5 m/s,
Bup
the voltage E generated in the circuit
related to the temperature ( as
vens,
E = (a + bt).
%3D
Further, for this thermocouple, when e is, in
millivolts, the two constants are a = 0.25,
b = -5.5 × 10. (a) What are the nits of
a, b? (b) Determine the value of e for each
%3D
Kjuo
O the
%3D
of the measured
temperatures -100°C,
100°C, 200°C, 300°C, 400°C, and plot an
Ans. (b) e = 19.5 mV for 100°C.
For the thermocouple in problem
1.11, find the rate of change of e per °C at each
of the temperatures shown -100 to 400°C.
Ans. 0.14 mV/°C for 100°C.
1.13 If a pump discharges 284 l pm of
water whose density is 985 kg/m', find (a)
the mass flow rate, kg/min, and (b) the total
required to fill a vertical cylindrical tank
%3D
what will the balance read? (b) If the ele-
vator is stopped, what will the balance read?
(c) If the supporting cable breaks (elevator
falls freely), what will the balance read? (d) If
the balance reads 350 N, what are the cir-
1.12
ion.
cumstances?
1.6 A 30-m vertical column of fluid
d an
(density 1878 kg/m') is located where g
9.65 mps*. Find the pressure at the base of
the column
time
%3D
3.05 m in diameter and 3.05 m high.
Ans.543.7 kPa.
1.7 Two liquids of differen! densities
(62 = 1500 kg/m',
poured together into a 100-e tank, filling it.
If the resulting density of the mixture is
800 kg/m', find the respective amounts of
liquids used. Also, find the weight of the
mixture; local g = 9.675 m/s².
ENGLISH UNITS
Pz = 500 kg/m')
are
%3D
1.14 A system has a mass of 30 lb. What
total force is necessary to accelerate it 15 fps
if (a) it is moving on a horizontal frictionless
plane or (b) it is moving vertically upward at
a point where g
1.15 How far from the earth must a body
ver,
etly3;
31.50-fps?
%3D
%3D
Ans, m, = 45 kg.
%3D
be along a line toward the sun so, that the
gravitational pull of the sun balances that of
the earth? Earth to sun distance is 9.3 x
1.8 Compute the gravitational force
between a proton (m = 1.66 × 10¯2" kg) and
an electron (m = 9.11 × 103 kg) in an
atom whose radius of electron orbit is 5.29 x
10-" m. Report answers in units of N and
dynes.
1.9 If two thermometers, one reading °C
and the other K, are inserted in the same
system, under what circumstance will they
both have the same numerical reading? What
will be the system's temperature when the
absolute thermometer reads twice the nu-
merical reading of the Celsius thermometer?
1.10 Calculate the magnitude of the
gravity acceleration on the surface of the
moon and again at a point 1000 km above
the surface of the moon; ignore the gravity
effects of the earth. The moon has a mean
the
%3D
-31
%3D
10' mi; mass of sun is 3.24 x 10 × mass of
earth.
Ans 1.63 x 10' mi from earth.
-11
1.16 A cylindrical drum (2-ft diameter,
3-ft height) is filled with a fluid whose density
is 40 lb,m/ft'. Determine (a) the total volume
of fluid, (b) the total mass of fluid in lbm,
slugs, kg, (c) the specific volume of the fluid,
(d) its specific weight where
(e) Specify which of the foregoing properties
are extensive and which intensive.
1.17 Given the barometric pressure of
31.90 fps?.
|3D
14.7 psia (29.92 in. Hg abs), make
conversions: (a) 80 psig to psia and to atm,
(b) 20 in. Hg vac to in. Hg abs and to psia, (c)
psia to psi vac and to Paa, (d) 15 in. Hg
gage to psia, to torrs and to Paa.
1.18 (a) Define a new temperature scale,
say °N, in which the boiling and freezing
these
one
pue
nits
radius of 1740 km and a mass of 7.4 X
1.63 m/s.
pap
up
Ans. (surface)g
%3D
1.11 For a particular thermocouple, if one
Junction is maintained at 0°C (cold junction) points of water are 1000°N and 100°N, re-
and the other junction is used as a probe to
measure the desired Celsius temperature 1,
spectively, and correlate this scale with the
Fahrenheit and Celsius scales. (b) The °N
-pr
ac-
the
Transcribed Image Text:5号 cord tension is (a) 25 N, (b) 15 N, (c) 35 N? 1.4 For a ballistics study, a 1.9 gm bullet is fired into soft wood. The bullet strikes the wood surface with a velocity of 380 m/s and penetrates 0.15 m. Find (a) the constant retarding force, N, (b) the time required to stop the bullet, (c) the deceleration, m/s'. 1.5 Assume 50 kg of mass are placed on the pan of a spring balance located on a freight elevator; local gravity acceleration is 9.70 m/s?. (a) When the élevator is moving with an upward acceleration of 2.5 m/s, Bup the voltage E generated in the circuit related to the temperature ( as vens, E = (a + bt). %3D Further, for this thermocouple, when e is, in millivolts, the two constants are a = 0.25, b = -5.5 × 10. (a) What are the nits of a, b? (b) Determine the value of e for each %3D Kjuo O the %3D of the measured temperatures -100°C, 100°C, 200°C, 300°C, 400°C, and plot an Ans. (b) e = 19.5 mV for 100°C. For the thermocouple in problem 1.11, find the rate of change of e per °C at each of the temperatures shown -100 to 400°C. Ans. 0.14 mV/°C for 100°C. 1.13 If a pump discharges 284 l pm of water whose density is 985 kg/m', find (a) the mass flow rate, kg/min, and (b) the total required to fill a vertical cylindrical tank %3D what will the balance read? (b) If the ele- vator is stopped, what will the balance read? (c) If the supporting cable breaks (elevator falls freely), what will the balance read? (d) If the balance reads 350 N, what are the cir- 1.12 ion. cumstances? 1.6 A 30-m vertical column of fluid d an (density 1878 kg/m') is located where g 9.65 mps*. Find the pressure at the base of the column time %3D 3.05 m in diameter and 3.05 m high. Ans.543.7 kPa. 1.7 Two liquids of differen! densities (62 = 1500 kg/m', poured together into a 100-e tank, filling it. If the resulting density of the mixture is 800 kg/m', find the respective amounts of liquids used. Also, find the weight of the mixture; local g = 9.675 m/s². ENGLISH UNITS Pz = 500 kg/m') are %3D 1.14 A system has a mass of 30 lb. What total force is necessary to accelerate it 15 fps if (a) it is moving on a horizontal frictionless plane or (b) it is moving vertically upward at a point where g 1.15 How far from the earth must a body ver, etly3; 31.50-fps? %3D %3D Ans, m, = 45 kg. %3D be along a line toward the sun so, that the gravitational pull of the sun balances that of the earth? Earth to sun distance is 9.3 x 1.8 Compute the gravitational force between a proton (m = 1.66 × 10¯2" kg) and an electron (m = 9.11 × 103 kg) in an atom whose radius of electron orbit is 5.29 x 10-" m. Report answers in units of N and dynes. 1.9 If two thermometers, one reading °C and the other K, are inserted in the same system, under what circumstance will they both have the same numerical reading? What will be the system's temperature when the absolute thermometer reads twice the nu- merical reading of the Celsius thermometer? 1.10 Calculate the magnitude of the gravity acceleration on the surface of the moon and again at a point 1000 km above the surface of the moon; ignore the gravity effects of the earth. The moon has a mean the %3D -31 %3D 10' mi; mass of sun is 3.24 x 10 × mass of earth. Ans 1.63 x 10' mi from earth. -11 1.16 A cylindrical drum (2-ft diameter, 3-ft height) is filled with a fluid whose density is 40 lb,m/ft'. Determine (a) the total volume of fluid, (b) the total mass of fluid in lbm, slugs, kg, (c) the specific volume of the fluid, (d) its specific weight where (e) Specify which of the foregoing properties are extensive and which intensive. 1.17 Given the barometric pressure of 31.90 fps?. |3D 14.7 psia (29.92 in. Hg abs), make conversions: (a) 80 psig to psia and to atm, (b) 20 in. Hg vac to in. Hg abs and to psia, (c) psia to psi vac and to Paa, (d) 15 in. Hg gage to psia, to torrs and to Paa. 1.18 (a) Define a new temperature scale, say °N, in which the boiling and freezing these one pue nits radius of 1740 km and a mass of 7.4 X 1.63 m/s. pap up Ans. (surface)g %3D 1.11 For a particular thermocouple, if one Junction is maintained at 0°C (cold junction) points of water are 1000°N and 100°N, re- and the other junction is used as a probe to measure the desired Celsius temperature 1, spectively, and correlate this scale with the Fahrenheit and Celsius scales. (b) The °N -pr ac- the
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