A child is playing with a stone tied to a rope, the child begins to turn the stone in circles (in the direction shown in the figure), but at a certain moment the rope breaks and the stone is thrown. According to the figure: ´b) d)
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- Young David who slew Goliath experimented with slings before tackling the giant. He found that he could revolve a sling of length 0.600m at a rate of 8.00rev/s. If he increased the length to 0.900m he could revolve the sling only 6:00 times per second. a) Which rate of rotation gives the greater speed for the stone at the end of the sling? b) What is the centripetal acceleration of the stone at 8:00rev/s? c) What is the centripetal acceleration of 6:00rev/s?1) F. = N+ mg %3D A skier goes over a small round hill with radius R. Since she is in circular 2) F. = mg- N motion, there has to be a centripetal 3) F. = T+ N– mg force. At the top of the hillI, what is F of the skier equal to? 4) F. = N 5) F = mg %3D Ra) A object is at rest as well as in motion at the same time. Explain how this can be b) Discuss what conditions are needed for three displacement vectors to have a vector sum of zero. c) An object in uniform circular motion with speed v experiences a centripetal force, Fc. What value of Fc is needed if the radius of the path is halved and the velocity is kept the same? d) Explain why average speed can be larger than average velocity?
- A fire dancer swings with a hand in a vertical loop a glass attached to the end of a scarf. The glass contains a flammable liquid and is lightex to give the audience a spectacular show. The glass is swung in a radius of 0.6 m. What is the minimum speed of rotation must the dancer swing the glass to prevent the contents from falling as it swings at the top of the loop?A car on a highway is heading toward a cloverleaf interchange with a circular curvature or Radius=50 m, traveling at a steady speed of 14m/s. A) determine the position and velocity of the vehicle at points A and B. B) determine the vector components and direction of the average acceleration during the trip from a to b. Include a sketch of the vector showing it's orientation. SPeciffy the direction between -180 degrees and 180 degrees as measured from the +x axis.In the swing carousel amusement park ride, riders sit in chairs that are attached by a chain to a large rotating drum as shown in (Figure 1). As the carousel turns, the riders move in a large circle with the chains tilted out from the vertical. In one such carousel, the riders move in a 15-m-radius circle and take 8.3 s to complete one revolution. What is the angle of the chains, as measured from the vertical?
- A Formula 1 car drives at 40.0 m/s around a 90 degree turn with a radius of 32.5m. a) what is the centripetal acceleration felt by the driver? b) how many g's is this? that is, how many times the acceleration of gravity does the driver feel? c) in what direction is the acceleration pointing? d) the next time around the track, the driver accelerates through the turn, starting it at 40.0 m/s and ending it at 42 m/s. what is the TOTAL acceleration felt by the driver? draw each componenet and give the total magnitude and direction (e.g at the halfway point around the turn)Q2) A (20kg) child sitting in a cart to which a (2m) rope is attached. The rope is tied to a motor that rotates the cart. At the instant that the tension in the rope is (100 N), how many revolutions per minute does the cart make? onIf a body describes a circular motion under inverse square field, the time taken to complete one revolution Tis related to the radius of the circular orbit as: a) Tcr b) Tc r2 c) T2 c r3 d) Tocr4
- A street performer is juggling 4 balls while standing still on a street corner. Later, the performer gets on a train. When the train is moving at constant velocity, the performer begins to juggle the balls again to entertain the passengers. The train then begins to follow a curve around a mountain. Which of the following is TRUE? a)The juggler can't tell if the train is moving. b)The juggler has to turn sideways to the motion of the train. c)The balls will always miss the juggler's hands. d)The juggler has to walk while juggling to catch the balls. e)The juggler must take into account the motion of the train following the curve when juggling the balls.Suppose a truck is (still!) going around a roundabout somewhere in Wisconsin. The roundabout has a radius of 15m and the truck is moving at 10 m/s. Suddenly the driver hits the brakes and the truck starts slowing with a linear acceleration of -1.2m/s2. d) What is the total linear acceleration of the truck?I am trying to find the distance from the point of rotation (y-axis) dm I have no idea how to do this or even get started