QUESTION 6 Two astronauts, each with a mass of 65 kg, are connected by a 11...
Two astronauts, each having a mass of 70.0 kg, are connected by a 9.0 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.50 m/s. (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum. (kg·m2/s) (b) Calculate the rotational energy of the system. (c) By pulling on the rope, one of the astronauts shortens the distance between them to 5.00 m. What is the new angular momentum...
Two astronauts (Fig. P11.51), each having a mass of 70.0 kg, are connected by a 9.5 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.50 m/s. (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum. kg middot m^2/s (b) Calculate the rotational energy of the system. J (c) By pulling on the rope, one of the astronauts shortens the distance between them to 5.00 m. What...
Two astronauts, each having a mass of 97.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 4.10 m/s. Treating the astronauts as particles, calculate each of the following. (a) the magnitude of the angular momentum of the system x kg. m/s (b) the rotational energy of the system X kJ By pulling on the rope, the astronauts shorten the distance...
ttwo astronauts, each having a
mass of 88.0 kg, are connected by a 10.0-m rope of negligible mass.
They are isolated in space, moving in circles around the point
halfway between them at a speed of 5.60 m/s. Treating the
astronauts as particles, calculate each of the following.
Two astronauts are connected by a taut horizontal rope of length
d. They rotate counterclockwise about a point labeled CG
at the midpoint of the rope.
(a) the magnitude of the angular...
Two astronauts, each having a mass of 82.0 kg, are connected by
a 10.0-m rope of negligible mass. They are isolated in space,
moving in circles around the point halfway between them at a speed
of 5.10 m/s. Treating the astronauts as particles, calculate each
of the following.
(a) the magnitude of the angular momentum of the system
kg · m2/s
(b) the rotational energy of the system
kJ
By pulling on the rope, the astronauts shorten the distance between...
Two astronauts, each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. (Use any variable or symbol stated above as necessary.) (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. 4- Mud (b) Calculate the rotational energy of the system. K-M2 By pulling on the rope, one of the astronauts shortens the distance...
Two blocks, each of mass m = 6.90 kg , are connected by a massless rope and start sliding down a slope of incline θ = 40.0 ∘ at t=0.000 s. The slope's top portion is a rough surface whose coefficient of kinetic friction is μk = 0.350. At a distance d = 2.90 m from block A's initial position the slope becomes frictionless. What is the velocity of the blocks 4.10 s after the blocks have started moving? Assume...
Two astronauts of roughly equal mass are floating in space. They both hold onto a light rod 20 m long, and the whole system is rotating about the center of the rod about once every 30 s. a) What is the tangential speed of each astronaut? b) Now imagine the astronauts pull themselves along the rod until they are 10 m apart. What is their tangential speed now? c) Where do you think that their increased kinetic energy came from?
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located at the origin (0, 0). (a) Find the x- and y-coordinates of the center of mass. (b) Find the moment of inertia of this system of three connected masses when rotated about the r-axis that passes through mass B? (c) If this system is rotated about the r-axis, from rest to an angular speed of 6 rad/s in time t = 3 s, what...
1. Two particles that have the same mass m = 0.5 kg are connected by a rotation aixs massless cord of l = 20.0 cm and rotate around O with angular speed w = 10.0 rad/s initially, as shown in figure (a). Two seconds later, two particles are mo moved toward the rotations axis, reducing their separation to l' = 15 cm, as shown in figure (b). What is the angular velocity at time t = 2 s? (hint: L...