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1. A child's race track is shown (not to scale) in the figure above. A toy car with a mass of 24.3 g is released from rest at the starting position. In the figure R = 19.1 cm and h = 63.9 cm.
2. Water (viscosity = 8.90 × 10-4 Pa s, density = 1.00 ×103 kg/m3) flows along the pipe shown in the diagram, the diagram is not to scale. The first pipe (at the top) has a radius, R1 = 0.5460 m and the second pipe (at the bottom) has a radius, r2 = 0.2910 m. Water in the first pipe has a pressure of P1 = 1.175 atm and flows at a speed of v1 = 0.3120 ms-1. The height difference, h, between the two pipes is 10.1 m.
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10 m and, in starting, rotates according to ? = 0.30t2, where t is in seconds and ? is in radians. what is the magnitude of the astronaut's angular velocity?
A car rolls along the x-axis and its position (in meters) is given by x= 4-6t+2t^2, where t is in seconds. What was its displacement through the time interval between t= 0 and t= 3 s? What was the car's average speed through the same time interval?
Over a certain region of space, the electric potential is given by: V = 3x^2 - 2xy + xyz, Find the expressions for the x, y, and z components of the electric field over this region
An MP3 player operates with a voltage of 3.7 V, and is using 0.21 W of power. Find the current being supplied by the player's battery
The top of a tower much like the leaning bell tower at Pisa, Italy, moves toward the south at an average rate of 1.2 mm/y. determine the average angular speed of the tower top about its base
A particle with a mass of 0.420 kg is attached to a horizontal spring with a force constant of 34.02 N/m. At the moment t = 0, Find the length of a simple pendulum with the same period
The distance between the objective and eyepiece lenses in a microscope is 21cm. The objective lens has a focal length of 5.5mm. What eyepiece focal length will give the microscope
Two closely spaced circular disks form a parallel plate capacitor. Find what are the diameters of the disks
A particle of mass m0 is given a kinetic energy equal to one-third its rest-mass energy. How fast must the particle be traveling
a solar flare causes 10 of the population to die from sunburn. of the 10 who die 10 individuals were albino and the
the coil of a generator has a radius of 0.17 m. when this coil is unwound the wire from which it is made has a length
Examining your image in a convex mirror whose radius of curvature is 24.8cm , you stand with the tip of your nose 10.2cm from the surface of the mirror. Where is the image of your nose located
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