ML504: MEDICAL PHYSICS – ASSIGNMENT I
USN
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Student Name
ADITHYA PREMCHANDRA
ADITYA ABHISHEK PANDA
AKASH. K.C
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AMULYA.S.R
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ANISHA R
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1MS11ML012
CHETANA JAVALI N
DEANDRA JANICE
Problems
1. Geetha is out with her friends. Misfortune occurs and Geetha and her friends find themselves
getting a workout. They apply a cumulative force of 1080 N to push the car 218 m to the nearest fuel
station. Determine the work done on the car.
2. Convert 100mm Hg into ___cm H2O and ___N/m2
1. Shah Gull is pulling on a rope to drag his backpack to school across the ice. He pulls upwards and
rightwards with a force of 22.9 Newtons at an angle of 35 degrees above the horizontal to drag his
backpack a horizontal distance of 129 meters to the right. Determine the work (in Joules) done upon
the backpack.
2. Convert 120mm Hg into ___cm H2O and ___N/m2
1. Lamar Gant, U.S. power lifting star, became the first man to dead-lift five times his own body weight
in 1985. Dead-lifting involves raising a loaded barbell from the floor to a position above the head with
outstretched arms. Determine the work done by Lamar in dead-lifting 300 kg to a height of 0.90 m
above the ground.
2. Convert 20 N/m2 into ___cm H2O and ___mm Hg
1. While training for breeding season, a 380 gram male squirrel does 32 pushups in a minute, displacing
its center of mass by a distance of 8.5 cm for each pushup. Determine the total work done on the
squirrel while moving upward (32 times).
2. Convert 15mm Hg into ___cm H2O and ___atm
Sheila has just arrived at the airport and is dragging her suitcase to the luggage check-in desk. She pulls
on the strap with a force of 190 N at an angle of 35° to the horizontal to displace it 45 m to the desk.
Determine the work done by Sheila on the suitcase.
During the Powerhouse lab, Jerry runs up the stairs, elevating his 102 kg body a vertical distance of 2.29
meters in a time of 1.32 seconds at a constant speed.
a.
Determine the work done by Jerry in climbing the stair case.
b.
Determine the power generated by Jerry.
1. A new conveyor system at the local packaging plan will utilize a motor-powered mechanical arm to
exert an average force of 890 N to push large crates a distance of 12 meters in 22 seconds.
DSOUZA
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DEEPAK
Determine the power output required of such a motor.
2. Convert 12 cm H2O into ___mm Hg and ___ N/m2
The ski slopes at Bluebird Mountain make use of tow ropes to transport snowboarders and skiers to the
summit of the hill. One of the tow ropes is powered by a 22-kW motor which pulls skiers along an icy
incline of 14° at a constant speed. Suppose that 18 skiers with an average mass of 48 kg hold onto the
rope and suppose that the motor operates at full power.
a. Determine the cumulative weight of all these skiers.
b. Determine the force required to pull this amount of weight up a 14° incline at a constant speed.
c. Determine the speed at which the skiers will ascend the hill.
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HARSHITHA
JAGRUTHI D ATADA
1. The Taipei 101 in Taiwan is a 1667-foot tall, 101-story skyscraper. The skyscraper is the home of the
world’s fastest elevator. The elevators transport visitors from the ground floor to the Observation
Deck on the 89th floor at speeds up to 16.8 m/s. Determine the power delivered by the motor to lift
the 10 passengers at this speed. The combined mass of the passengers and cabin is 1250 kg.
2. Convert 3 atm into ___cm H2O and ___mmHg
1. The first asteroid to be discovered is Ceres. It is the largest and most massive asteroid is our solar
system’s asteroid belt, having an estimated mass of 3.0 x 1021 kg and an orbital speed of 17900 m/s.
Determine the amount of kinetic energy possessed by Ceres.
2. Convert 2 atm into ___cm H2O and ___mmHg
A bicycle has a kinetic energy of 124 J. What kinetic energy would the bicycle have if it had …
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JISHIN KARIMBUMKARA
JAYARAJAN
a. … twice the mass and was moving at the same speed?
b. … the same mass and was moving with twice the speed?
c. … one-half the mass and was moving with twice the speed?
d. … the same mass and was moving with one-half the speed?
e. … three times the mass and was moving with one-half the speed?
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PRIYANKA
PRASANNA.K.N
A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.
a. Determine the kinetic energy possessed by the skydiver.
b. Determine the potential energy possessed by the skydiver.
c. Determine the total mechanical energy possessed by the skydiver.
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ISPURE KIRAN M.
Li Ping Phar, the esteemed Chinese ski jumper, has a mass of 59.6 kg. He is moving with a speed of 23.4
m/s at a height of 44.6 meters above the ground. Determine the total mechanical energy of Li Ping Phar.
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MAHALAKSHMI K
MANJUSHREE M S
Chaitra leads college softball team in hitting. In a game against New Greer Academy this past weekend,
Chaitra struck the 181-gram softball so hard that it cleared the outfield fence and landed on Hebbal
Lake. At one point in its trajectory, the ball was 28.8 m above the ground and moving with a speed of 19.7
m/s. Determine the total mechanical energy of the softball.
Suzie Lavtaski (m=56 kg) is skiing at Bluebird Mountain. She is moving at 16 m/s across the crest of a ski
hill located 34 m above ground level at the end of the run.
a. Determine Suzie's kinetic energy.
b. Determine Suzie's potential energy relative to the height of the ground at the end of the run.
c. Determine Suzie's total mechanical energy at the crest of the hill.
Nicholas is at The Noah's Ark Amusement Park and preparing to ride on The Point of No Return racing
slide. At the top of the slide, Nicholas (m=72.6 kg) is 28.5 m above the ground.
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MEGHANA .S
a. Determine Nicholas' potential energy at the top of the slide.
b. Determine Nicholas's kinetic energy at the top of the slide.
c. Assuming negligible losses of energy between the top of the slide and his approach to the bottom of
the slide (h=0 m), determine Nicholas's total mechanical energy as he arrives at the bottom of the slide.
Ima Scaarred (m=56.2 kg) is traveling at a speed of 12.8 m/s at the top of a 19.5-m high roller coaster
loop.
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NAVEEN B
a. Determine Ima's kinetic energy at the top of the loop.
b. Determine Ima's potential energy at the top of the loop.
c. Assuming negligible losses of energy due to friction and air resistance, determine Ima's total
mechanical energy at the bottom of the loop (h=0 m).
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NIKHIL H.S
Justin Thyme is traveling down Lake Avenue at 32.8 m/s in his 1510-kg 1992 Camaro. He spots a police
car with a radar gun and quickly slows down to a legal speed of 20.1 m/s.
a. Determine the initial kinetic energy of the Camaro.
b. Determine the kinetic energy of the Camaro after slowing down.
c. Determine the amount of work done on the Camaro during the deceleration.
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NITIN HEBBAR
A medication dissolved in a saline solution is infused into a vein in the patients arm (IV infusion). The
density of saline is the same as water. The pressure of the blood inside the vein is 5 torr above
atmospheric pressure. How high above the insertion point must the container be hung so that there is
sufficient hydrostatic pressure to force fluid into the vein?
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POOJA VISHWANATHAN
POOJA C.S
1. As part of your exercise routine you climb a 10.0 m rope. How many food Calories (kilocalories) do
you expend in a single climb up the rope?
2. The pressure in the urinary bladder just before micturition is 30 cm H2O. What is the value in mmHg
and atm?
1. How much heat is carried away from the body of a sweating person in 1 hour by the evaporation of
0.500 liter of water from the skin?
2. Volume of stomach varies as third power of radius (R3). If the pressure changes in stomach by 2 mm
Hg, what is the change in volume?
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PRADYOTH.N
PRIYABRATA SUR
1. A student is trying to decide what to wear. The air in his bedroom is at 20° C. If the skin
temperature of the unclothed student is 37° C, how much heat is lost from his body in 10.0 min?
Assume that the emissivity of skin is 0.900 and that the surface area of the student is 1.50 m2.
2. Convert 10mmHg into ___bar and ___atm
1. The gauge pressure inside a cylindrical tube is 100mmHg and its radius is 1 mm, what is absolute
pressure and the tension in the tube wall at equilibrium (in SI units)?
2. How much heat is carried away from the body of a sweating person in 2 hours by the evaporation of
0.2500 liter of water during respiration?
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PRIYANKA JAIN
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RANJITHA
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RAZMAN AHMED
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SAHANA.K.S
1. Ramesh buys 6 bottles of syrup each containing 1litre. Each empty bottle weighs 400g. The density
of syrup is 1.2 g/cm3. What weight does Ramesh have to carry home?
2. The atmospheric pressure at sea level is about 1.0x10^5 Pa. What is the force at sea level that air
exerts on the top of a typical office desk, 152 cm long and 76 cm wide?
1. A physics teacher has a weight of 800N. If his feet have an area of 0.025 square meters each, what
pressure does he exert on the ground?
2. What is the mass in kg and weight in pounds of a hemisphere of human tissue with a diameter of
0.4m (with the average density of such tissue being 0.9 g/cm3)?
How much energy (gravitational potential energy) is required to lift a 70 kg person by 1m (in kcal)? If
your muscles can do this with 25% efficiency, how many times would you have to lift such a person to
burn off the caloric content in one standard donut (280 kcal/donut)?
Olive Udadi is at the park with her father. The 26-kg Olive is on a swing following the path as shown.
Olive has a speed of 0 m/s at position A and is a height of 3.0-m above the ground. At position B, Olive is
1.2 m above the ground. At position C (2.2 m above the ground), Olive projects from the seat and travels
as a projectile along the path shown. At point F, Olive is a mere
picometer above the ground. Assume negligible air resistance
throughout the motion. Use this information to fill in the table.
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SAHITHI. G.D
SALMAN.S.M
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SANJANA. U. SHANKAR
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SATYA PRAKASH MISHRA
Position
Height (m)
A
3.0
B
1.2
PE (J)
KE (J)
TME (J)
Speed
(m/s)
0.0
Consider the oxidation of the alcohol (ethanol): C2H5OH + 3O2 → 2CO2 + 3H2 O + 327 kcal.
Find the energy release/g, calorific equivalent, and respiratory exchange ratio (RER) (or respiratory
quotient (RQ)).
Olive Udadi is at the park with her father. The 26-kg Olive is on a
swing following the path as shown. Olive has a speed of 0 m/s at
position A and is a height of 3.0-m above the ground. At position
B,
Olive is 1.2 m above the ground. At position C (2.2 m above the
ground), Olive projects from the seat and travels as a projectile
along the path shown. At point F, Olive is a mere picometer above
the
ground. Assume negligible air resistance throughout the motion. Use this information to fill in the table.
Position
Height (m)
A
3.0
C
2.2
PE (J)
KE (J)
TME (J)
Speed (m/s)
0.0
A person lifts a 15-kg mass from the floor to over his head (a distance of 2 m). How many times does he
have to do this to lose a pound of fat, assuming a muscle efficiency of 25%?
A racing cyclist produces heat at a rate 1,300 kcal/h in excess of the normal rate. If all of this excess
heat is lost by perspiration and evaporative cooling, how many liters of water must the cyclist drink every
hour to maintain body fluids (at the level she would have had without cycling)?
When the human body is accelerated vertically, blood pressure in the brain will drop. Determine the
maximum vertical acceleration that a human can withstand before losing consciousness; that is, determine
the acceleration that would reduce the blood pressure in the brain to zero. Assume a typical systolic
pressure of 16 kPa and that the base of the brain is 20 cm above the top of the heart.
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SAVITHRU GOUTHAM.N
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SHASHANK RAO
CHERUKUMILLI
A certain fruit has a metabolizable energy of 0.4 kcal/g normally and 2.4 kcal/g after it has been dried.
Assume the fruit consists of only water, sugar, and non-metabolizable matter and find the fraction of
each in the fruit and in the fruit after it is dried
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SHRUTHI. R
You eat a pound of food. You know that 10% of its weight is water, 5% of its weight is from nondigestible
solids, and 30% of its calories come from fat. How many calories have you ingested?
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SNEHA.B
SWATHI. J
TANYA TIWARI
UME HANI
Consider a person sitting nude on a beach in Florida. On a sunny day, visible radiation energy from the sun
is absorbed by the person at a rate of 30 kcal/h or 34.9 W. The air temperature is a warm 30◦C and the
individual’s skin temperature is 32◦C. The effective body surface exposed to the sun is 0.9m2. Find the
net energy gain or loss from thermal radiation each hour. (Assume an emissivity of 1.)
Consider a person sitting nude on a beach in Florida. On a sunny day, visible radiation energy from the sun
is absorbed by the person at a rate of 30 kcal/h or 34.9 W. The air temperature is a warm 30◦C and the
individual’s skin temperature is 32◦C. The effective body surface exposed to the sun is 0.9m2. If there is
a 4 m/s breeze, find the energy lost by convection each hour.
If your daily metabolic rate exceeds your caloric intake by 1,000 kcal (which is a very large difference)
for a week, how much weight will you lose? Assume that the change is due only to the use of body fat to
make up this difference, with 9 kcal per gram of body fat, so there is no other concomitant loss of
weight.
How much energy (kcal) do you lose every hour by thermal conduction when you stand barefoot on ice?
Assume the flow is between the plane of the ice, which is at a temperature 0◦C, and a plane 5mm deep
into your body (across the skin), which is at 34◦C. Assume the coefficient of thermal conductivity is
0.3W/m-◦C. Also assume that each foot contacts the ice over an area of 0.02m2.
A person standing erect can in some cases be modeled by a column of water.
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VENKATPAVANI PAVANI.
P
a. Calculate the hydrostatic pressure difference between a person’s head and foot in torr.
b. Explain why blood pressure is measured in the arm at the same vertical height as the heart.
c. Our body has adapted to having a larger hydrostatic pressure in our feet than in our head.
Speculate on why you feel uncomfortable when you “stand on your head.”
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VINAY. A
VISHWAJIT PALSULE
DARSHAN M.C.
KARTHIK K
MALA C.K
PRUTHVI LAKSHMI B R
Olive Udadi is at the park with her father. The 26-kg Olive is on a
swing following the path as shown. Olive has a speed of 0 m/s at
position A and is a height of 3.0-m above the ground. At position
B,
Olive is 1.2 m above the ground. At position C (2.2 m above the
ground), Olive projects from the seat and travels as a projectile
along the path shown. At point F, Olive is a mere picometer above
the
ground. Assume negligible air resistance throughout the motion. Use this information to fill in the table.
Position
Height (m)
A
3.0
F
0
PE (J)
KE (J)
TME (J)
Speed (m/s)
0.0
A change in body mass of 1 kg is caused by a change in metabolizable energy of about 3,500 kcal. This
means that about 3,500 kcal of chemical energy is obtainable by oxidizing 1 kg of average body storage
materials. Special relativity teaches that the total energy content of a mass m is E = mc2. How much is
this for 1 kg (in units of kcal)? How many times larger is this than the chemical energy?
Consider a person sitting nude on a beach in Florida. On a sunny day, visible radiation energy from the sun
is absorbed by the person at a rate of 30 kcal/h or 34.9 W. The air temperature is a warm 30◦C and the
individual’s skin temperature is 32◦C. The effective body surface exposed to the sun is 0.9m2. If the
individual’s metabolic rate is 80 kcal/h (93.0W) and breathing accounts for a loss of 10 kcal/h (11.6 W),
how much additional heat must be lost by evaporation to keep the body core temperature constant?
A 50 kg woman does 10 chin-ups in a minute (each raising her center of mass by 0.5 m). After 5 min how
much mechanical work has she done (in J) and how much metabolic energy has she used (in kcal), assuming
25% muscle efficiency?
1. Calculate the convective heat loss per hour for a nude standing in a 5m/s wind. Assume Ts = 33°C, Ta
= 10°C and Ac = 1.2m2
2. Convert 80mmHg into ___bar and ___atm
1. Your brain requires approximately 20 W of power. If you eat a candy bar with 273 Calories, how long
will your brain be able to work on that energy, assuming that all of it goes to your brain?
2. A crane lifts an 8,000-N beam 75 meters to the top of a building in 30 seconds. How much power
does the crane use?
During average activity, your entire body requires 100 W of power to continue operating.
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RUDRA GOWDA
a) How much energy does your body need for one hour?
b) How much energy does your body need for one day?
c) If 1 Calorie = 4184 J, how many Calories do you need to eat to supply that much energy for your body?
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SARITHA J
a) How much work does a 65 kg person climbing a 2000 m high cliff do?
b) If he/she does it in 3 hours, what is the power output of the person?
c) If he/she does it in 30 minutes, what is the power output of the person?
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SHARATH K R
Atlas and Hercules, two carnival sideshow strong men, each lift 200 kg barbells 2 m off the ground. Atlas
lifts his barbells in 1 s and Hercules lifts his in 3 s. a) Which strong man does more work b) Calculate
which man is more powerful.
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SHIVAN GOWDA
A typical adult in the United States consumes something like 2000 dietetic calories of food per day.
Determine the average power generated by such an adult (assuming he or she is not gaining or losing
weight).
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SUPRAJA B M
A person of weight 70kg runs up a flight of stairs with a vertical height of 5m. If the trip takes 7s to
complete, calculate the power generated by that person.
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VINUTHA R
1. How far must a 5N force pull a 50g toy car if 30J of energy are transferred?
2. A man exerts a force of 2kN on a boulder but fails to move it. Calculate the work done.
During the Powerhouse lab, Amit runs up the stairs, elevating his 102 kg body a vertical distance of 2.29
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KIRAN R
meters in a time of 1.32 seconds at a constant speed.
a. Determine the work done by Amit in climbing the stair case.
b. Determine the power generated by Amit.
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MANVARSHI KUMAR
While training for breeding season, a 380 gram male squirrel does 32 pushups in a minute, displacing its
center of mass by a distance of 8.5 cm for each pushup. Determine the total work done on the squirrel
while moving upward (32 times).
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MOHMMED LAEEQ
BOKHARI V
Lamar Gant, U.S. powerlifting star, became the first man to deadlift five times his own body weight in
1985. Deadlifting involves raising a loaded barbell from the floor to a position above the head with
outstretched arms. Determine the work done by Lamar in deadlifting 300 kg to a height of 0.90 m above
the ground.
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ROOPASHRI K R
A person takes about 20 breaths per minute with 0.5 liter of air in each breath. How much heat is
removed per hour by the moisture in the exhaled breath if the incoming air is dry and the exhaled breath
is fully saturated? Assume that the water vapor pressure in the saturated exhaled air is 24 torr.
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PAVAN KUMAR
1. Calculate the pressure 150 m below the surface of the sea. The density of sea water is 1.026 g/cm3.
2. How high a column of blood can an arterial pressure of 100 torr support? (The density of blood is 1.05
g/cm3.)
The average food energy intake for humans is 2000 Calories/day. One dietary Calorie is equivalent to
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SRIRAVALI K
4186 J. How high would a 55 kg person have to climb in order to “burn off” all the calories they consume
in one day? (Note: this calculation will ignore the large amount of energy the body continually loses to
heat)
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SRIVIDYA M.T
A man of mass 65 Kg is holding a bucket of mass 15 kg. He walks 50 m on a level road at a constant speed
of 3m/s and then climbs a hill of height 200m. What is the internal work done by the man’s muscles and
what is the external work done by him?
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ROBIN M
The express elevator in the Sears Tower in Chicago averages a speed of 1800 ft/min in its climb to the
103rd floor, 1340 ft above the ground. Assuming a total load of 1.0 x 103 kg, what average power must the
lifting motor supply? Put your answer in Watts (W). Note: 3.281 ft = 1 m
Consider taking a 1-horsepower (1 hp= 746 W) horse and putting it on a treadmill to operate a generator.
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AMIT ROOGE
a. How many watts of energy would the horse continuously generate?
b. If the energy output of the generator was run through an electric heater, how many kWH would be
produced in an hour?
c. How many Calories would this horse burn in one hour if it were 100-percent efficient?
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VARUN
Your blood pressure is measured with a sphygmomanometer, however with your upper arm pointed upward
instead of downward. If your blood pressure is really 120 mmHg/ 80 mmHg, approximately what pressure
would be measured?
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SIDDARTH SHADEO
Geetha is out with her friends. Misfortune occurs and Geetha and her friends find themselves getting a
workout. They apply a cumulative force of 1080 N to push the car 218 m to the nearest fuel station.
Determine the work done on the car.