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Suppose that you are standing at 40 degrees latitude and are 2 meters tall.
[A]. Find the velocity of your feet, v, due to the rotation of Earth. Assume that Earth is a perfect sphere of radius R=6378km and that a day is exactly 24 hours long.
[B]. Using the result from part A, compute the centripetal acceleration at your feet as a=(v^2)/r.
[C]. Repeat parts A and B for your head, and compute the difference between the acceleration at your head and feet. Show how round-off can corrupt your calculations and how to fix the problem.
The potential dissimilarity between the plates of a capacitor is 170 V. Midway among the plates, a proton and an electron are released. The electron is released from rest. The proton is projected perpendicularly toward the negative plate by an initia..
Certain natural forms of potassium have nuclei that are radioactive. Each radioactive potassium nucleus decays to a slightly less massive daughter nucleus and a high-speed electron called a beta particle.
A thin 1.1 millimeter coating of glycerin has been located between two microscope slides of width 1 centimeter and length 4 centimeter. Determine the force required to pull one of the microscope
A 0.1 kg block is attached to a spring with a constant 2.5 N/m and oscillates on a frictionless table. Its velocity is 0.2m/s when x=0.05. What is the amplitude of oscillations? What is the ball's maximum acceleration?
The speed of sound V in a fluid depends upon the fluid density? And its bulk modulus B as follows: v = ^n.B^m. Using dimensional analysis, find the values of constants N and m, respectively. The unit of density is kg/m3 and that of bulk modulus B is ..
An object with a mass of 41.0 g is moving uniformly with a velocity of 37.0 m/s along the positive x-axis. What is the velocity of the first particle, in the zero momentum frame, after an elastic collision
Two campers carry their gear (90.7kg) on a light, rigid horizontal pole whose ends they support on their shoulders 1.83m apart. If Holly experiences a compressive force of 534N, what force will Rocky feel? (b) Where is the load hung on the pole (mea..
A rigid body is rotating around the vertical z axis anticlockwise when look at from above. Calculate the tangential and normal components of the acceleration
A spring with spring constant 250 N/m is compressed by 0.13 m and then used to propel a 0.035-kg ball directly upward. If needed, use g = 10 m/s2. what is the height of the ball at it's peak
One cylinder in the diesel engine of a truck has an initialvolume of 600 cm3. Air is admitted to the cylinder at 30°C and a pressure of 1.0 atm. The piston rodthen does 400 J of work to rapidly compress the air. What are its final temperature and ..
A certain automobile engine delivers 2.24 104 W (30.0 hp) to its wheels when moving at a constant speed of 21.0 m/s ( 47 mi/h). What is the resistive force acting on the automobile at that speed?
While running, a man dissipates about 0.60 Joule of mechanical energy per step per kilogram of body mass. determine how fast is the man running
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