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Two astronauts of equal mass 70 kg are holding on to opposite ends of a straight rope in space. The length of the rope between them is 14 meters. They are rotating about an axis that passes through the center of mass midway between the two astronauts with angular velocity 0.9 radian/sec. One of the astronauts pulls on the rope, decreasing the distance separating them to 14/2 meters. (In the following, take the rope to be massless.)
A) What is the new angular velocity of the two astronauts?
B) How much work did the astronaut who pulled on the rope do?
The starter motor of a car engine draws a current of 180A from the battery. How far does an electron travel along the wire while the starter motor is on
A uniform plank of length 2m and mass 29kg is supported by three ropes, as indicated by the blue vectors. Find the tension in each rope when a 690N person is 0.500m from the left end.
A 60 kg person drops from rest a distance of 1.20m to a platform of negligible mass supported by a stiff spring. The platform drops 6cm before the person comes to rest.
A loudspeaker of mass 15.0 is suspended a distance of h = 2.30 below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.30. What is tension in each cable.
A person scffing her feet on a wool rug on a dry day accumulates a net charge of -95uC. How many excess elecvtrons does she get
Two objects (39.0 and 23.0 kg) are connected by a massless string that passes over a massless, frictionless pulley, find the acceleration of the objects
A bullet with mass m = 5:21 g is moving horizontally with a speed v = 498 m/s when it strikes a block of wood with mass M = 14.8 kg (initially at rest). What was the change in kinetic energy (J) of the bullet
In a 45° - 90° - 45° prism with a ray of light entering and exiting on the long side of the prism after undergoing two total internal reflections. Determine the minimum index of refraction of the prism in order for this to occur
A cosmic ray proton streaks through the lab with velocity 0.80c at an angle of 49° with the +x direction, Compute the magnitude and direction of the proton's velocity when viewed from frame S'
Choose the correct explanation for why you can determine the maximum load given that theta_min is the minimum angle crane arm can make with the horizontal.
A rod is 0.5100 m long at 25C. At 225C the rod is loaded with a stress of 2 76 MPa and its length is found to be 0.5358 m, calculate the coefficient of thermal expansion for this material
A swimmer heads directly across a river, swimming at 1.60 m/s relative to the water. She arrives at a point 58.0 m downstream from the point directly across river, 63 m wide. What is the speed of the river current.
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