BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 12, Problem 9AP
Using the principle of conservation of
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An airplane flying directly eastward at a constant speed travels 293 km in 2.0 h.
(a) what is the average velocity of the plane?
(b) what is the instantaneous velocity?
Using the above “mean-speed theorem”, calculate the average velocity of a car with constant acceleration from 0 km/hour (initial speed) to 80 km/hour (final speed) over a 5-minute period of time.
average velocity over 5 minutes = 16 kilometers/hour
average velocity over 5 minutes = 20 kilometers/hour
average velocity over 5 minutes = 24 kilometers/hour
average velocity over 5 minutes = 32 kilometers/hour
average velocity over 5 minutes = 40 kilometers/hour
The “mean-speed theorem” for calculating average velocity under constant acceleration, developed by Thomas Bradwardine and the Mertonian Calculators at Oxford University, is expressed algebraically as:
density = weight/volume
(m1)(v1) = (m2)(v2)
C. (vm) = 1/2 (v0 + vf)
s = (v0)(t) + 1/2 (a)(t2)
velocity = distance/time
Chapter 12 Solutions
BASIC BIOMECHANICS
Ch. 12 - How much force must be applied by a kicker to give...Ch. 12 - A high jumper with a body weight of 712 N exerts a...Ch. 12 - What factors affect the magnitude of friction?Ch. 12 - If s between a basketball shoe and a court is...Ch. 12 - A football player pushes a 670-N blocking sled....Ch. 12 - Lineman A has a mass of 100 kg and is traveling...Ch. 12 - Prob. 7IPCh. 12 - A ball dropped on a surface from a 2-m height...Ch. 12 - A set of 20 stairs, each of 20-cm height, is...Ch. 12 - A pitched ball with a mass of 1 kg reaches a...
Ch. 12 - Identify three practical examples of each of...Ch. 12 - Prob. 2APCh. 12 - A 2-kg block sitting on a horizontal surface is...Ch. 12 - Explain the interrelationships among mechanical...Ch. 12 - Prob. 5APCh. 12 - A 108 cm, 0.73-kg golf club is swung for 0.5 s...Ch. 12 - A 6.5-N ball is thrown with an initial velocity of...Ch. 12 - Prob. 8APCh. 12 - Using the principle of conservation of mechanical...Ch. 12 - Prob. 10AP
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- The “mean-speed theorem” for finding average velocity under constant acceleration, proposed by the Oxford Calculators, and demonstrated geometrically by Nicole Oresme, is expressed algebraically as: density = weight/volume (m1)(v1) = (m2)(v2) (vm) = 1/2 (v0 + vf) s = (v0)(t) + 1/2 (a)(t2) velocity = distance/timearrow_forwardFrom the equation of a lineweaver-burke plot, calculate Km and Vmax. Show your work and include units. The equation is y=393.4x +8.4337arrow_forwardSuppose as astronaut has landed on Mars. Fully equipped, the astronaut has a mass of 130 kg, and when the astronaut gets in scale, the reading is 477 N. What is the acceleration due to gravity on Mars?arrow_forward
- A scientist was investigating if differences in the frictional work performed on a model car can change depending on its mass (in grams) and whether the car moves up or down an inclined plane. They decided to measure the amount of frictional force experienced by the model car and the distance it traveled in meters. The scientists were able to evaluate the frictional work using the following data. Mass (g) Distance (m) Force Work Done by Friction (J) car going up the incline 100 39 0.063 2.457 car going down the incline 70 39 0.2309 ? It is known that the relationship between force and distance determines the work done by friction (W+). W₁ = fd Wf work done by friction f = force d = distance Question: How much work done by friction was exerted on the car as it moved down the inclined plane? You may use a calculator. 1 2.457 9.005 11.46 16.16 PREVIOUS FINISHarrow_forwardplease provide an example to solve for Velocity using the Michaelis-Menten Equation ?arrow_forwardRotate the ball horizontally on an 80 cm long non-stretchable cord with angular velocity of 3 s^(-1). After ten seconds of clockwise rotation, the cord breaks. At what speed and in what direction does the ball fly, if it was faced north at time t = Os? Where and after how much time does the ball land on the ground that is 1 m below the plaine in which we rotate the string? {Solution: v= (0.37 m/s,2.37 m/s); d=1.07 m, t=0.447 s.) }arrow_forward
- a toy car rolls 10 meters (m) across the floor. it takes 5 seconds (s) to cross this distance. what is the speed of this car?arrow_forward72. Find J and K in the rotational system shown in Figure P4.18 to yield a 30% overshoot and a sett- ling time of 3 seconds for a step input in torque. [(Section: 4.6] 000 K FIGURE P4.18arrow_forwardAccording to Jean Buridan’s equation, the momentum or “impetus” of an 8 kilogram mass moving at 48 meters per second would be: 192 kilogram-meters per second 384 kilogram-meters per second 576 kilogram-meters per second 768 kilogram-meters per second 960 kilogram-meters per secondarrow_forward
- Calculate the total amount of work performed in 5 minutes of exercise on the cycle ergometer, given the following:Resistance on the flywheel = 25 NCranking speed = 60 rpmDistance traveled per revolution = 6 metersarrow_forwardAn airplane flying directly eastward at a constant speed travels 323 km in 2.0 h. what is the average velocity of the planearrow_forwardIf a person has a vertical force of 10.25N with a nylon strap of a 2.5cm of width and length of 10cm in the trapezius muscle, how much time does the person need to feel pain in the muscle? How much time is needed to injure or damage the muscle? Must show every mathematical process.arrow_forward
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