On an ice rink two skaters of equal mass grab hands and spin in a mutual circle once every 2.5 s. If we assume their arms are each 0.80 m long and their individual masses are 60 kg, how hard are they pulling on one another?

A mischievous child ties a June Bug (a large beetle) on to string. The child holds his arm above his head and the bug attached to the string flies around in a horizontal circle. What is the direction of the net force on the bug?

A roller coaster has a vertical loop of radius 25.0 m. If the roller coaster operates at a constant speed of 30.0 m/s while in the loop, what normal force does the seat provide for a 60 kg passenger at the bottom of the loop? O 2775 N 2748 N O 588 N O 1305 N ) 1572 N O 2160 N

Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) and perpendicular to the ice. The mass of each twin is 78.0 kg. The rope of negligible mass is 3.5 m long and they move at a speed of 5.40 m/s. a)What is the magnitude, in kg · m2/s, of the angular momentum of the system comprised of the two twins?   (b)They now pull on the rope and move closer to each other so that the rope between them is now half as long. Determine the speed, in m/s, with which they move now.    (c)The two twins have to do work in order to move closer to each other. How much work, in joules, did they do?

In the figure, block 1 has mass m₁ - 470 g, block 2 has mass m₂ - 501 g, and the pulley is on a frictionless horizontal axle and has radius R-5.00 cm. When released from rest, block 2 falls 72.0 cm in 3.30 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T₂ (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g -9.81 m/s². (a) Number (b) Number i (c) Number (d) Number i (e) Number i Units Units Units Units Units my 1112 <

Gibbons, small Asian apes, move by brachiation, swinging below a handhold to move forward to the next handhold. A 9.0 kg gibbon has an arm length (hand to shoulder) of 0.60 m. We can model its motion as that of a point mass swinging at the end of a 0.60-m-long, massless rod. At the lowest point of its swing, the gibbon is moving at 3.5 m/s. What upward force must a branch provide to support the swinging gibbon?

d) At what rate does the cylinder spiñn 2 (8.51). In the amusement park ride shown here, the passengers are against the wall of a cylinder that rotates vertically. The diameter of the cylinder is 16 m. The cylinder rotates once every 4.5 sec. a) Draw a force diagram for a 55-kg passenger at the top of the ride. Show the weight and normal force vectors. b) What is the normal force? How many "g's" will the passenger feel? c) Draw a force diagram for a 55-kg passenger at the bottom of the ride. Show the weight and normal force vectors. ) What is the normal force? How many “g's" will the passenger feel? ation e the ride above is going at the minimum speed for passengers not to fall off. peed, what would the normal force be on a passenger at the top? What would th

A 59.0-kg ice skater is moving at 4.07 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.810 m around the pole. red (a) Determine the magnitude of the force exerted by the horizontal rope on her arms. kN (b) Compare this force with her weight. Frope %3D W Need Help? Read It

Shown below are top-down views of three blocks on rotating turntables. The turntables rotate in the same amount of time, and the blocks are rotating with the turntables, not sliding. The masses of the blocks and their distances from the centers are given. Rank the blocks from most force holding it on the turntable to least. B R=2 cm m 5 kg R=3 cm = 4 kg R 5 cm m=1 kg