1. Electric winch pulley systems like the one shown below are often used to place equipment into...
Question:
1. Electric winch pulley systems like the one shown below are often used to place equipment into the ocean from a research vessel (like the Scripps Oceanography ship Sally Ride). Assume the motors of one of these winches is powered a by battery with an total energy capacity (potential energy) of E=5.58 Watt-hour and total efficiency (fraction of stored energy turned into useful mechanical work) of = 0.317.The motor, fully charged, is connected to a cable through a pulley system to a CTD (conductivity, temperature and pressure/depth) instrument with a mass of 98.4 kg. If the CTD instrument, initially at rest, is pulled vertically up from the water surface, how high can it go before the motor battery is completed drained?
2. Calculate the amount of work (in Joules) required for your heart to pump 1.41 gram of blood from heart level to your head over a distance of 0.500 m.
3. The International Space Station, which has a mass of 4.941054.94105 kg, orbits 246 miles above the Earth's surface, and completes one orbit every 93.7 minutes. What is the kinetic energy of the International Space Station in units of GJ (1099 Joules)? (Note: don't forget to take into account the radius of the Earth : r_{Earth} = 3959 miles)
4. Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 42.5 cm and holds it in position with a force of 153 N. If the mass of the arrow is 50 gand the "spring" is considered to be massless, what is the speed of the arrow immediately after it leaves the bow?
5. The force required to slowly stretch a spring varies from 0 N to 292 N as the spring is extended by 15 cm from its unstressed length. What is the force constant of the spring?
6. A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the elbow joint as well as other movements. If the linear velocity of the ball relative to the elbow joint is 18.5 m/s at a distance of 0.480 m from the joint and the moment of inertia of the forearm is 0.412kgm20.412kgm2, what is the rotational kinetic energy of the forearm? [Note: Assume that you can neglect the mass of the ball; or alternatively, that it has already been accounted for in the given moment of inertia]
7. A block of mass 3.16 kg starts atrest at the top of a frictionless ramp that makes an angle of =32.6 below the horizontal.After it slides without friction down the entire 3.42 m length of the ramp, it begins to slide horizontally along a rough, horizontal concrete surface with a coefficient of kinetic friction of k = 0.587 until it slowsto a complete stop.How far does the block slide horizontally along the concrete before it stops? [Note : this question may contain more information than is necessary to solve the problem. Assume that no energy is lost to deformation or sound at the transition between the ramp and the concrete.
College Accounting Chapters 1-30
ISBN: 978-0077862398
14th edition
Authors: John Price, M. David Haddock, Michael Farina