4. Consider the following controls in an automobile in motion: gas pedal, brake, steering wheel. What are the controls in this list that cause an acceleration of the car? (a) all three controls (b) the gas pedal and the brake (c) only the brake (d) only the gas pedal (e) only the steering wheel (f) none Borough of Manhattan CC FIRST EXAMINATION 5. A particle moves in a circular path of radiusr with speed v. It then increases its speed to 2v while traveling along the same circular path. By what factor has the period of the particle changed? (а) 0.25 (b) 0.5 (c) 2 (d) 4 (e) impossible to determine (f) none

A 4.0 kg car is traveling around a vertical loop with a radius of 2 m. What is the minimum speed needed for the car to successfully make it around the loop? A.2.0 m/s B.20 m/s C.4.5 m/s D.1.0 m/s

A car with a constant speed of 95 km/h enters a circular flat curve with a radius of 0.5 km. The friction between the road and the car's tire can supply a centripetal acceleration of 1.35 m/s². What is the acceleration the car need to remain in this curve regardless of its acceleration of 1.35 m/s²? a) 2.39 m/s² b) 1.74 m/s² c) 1.35 m/s² d) 1.39 m/s² V₁ = V + at лd²h V= C=d F = ma ac r x=x+(+v₁)t +mgh+Fyud F r

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V a. R %3D If the speed of a circularly moving object doubled, the centripetal acceleration of that object would 1) increase by a factor of two (2) 2) decrease by a factor of four (4) 3) remain constant 4) increase by a factor of four (4) 5) decrease by a factor of two (2)

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 R

Hello, Can someone please show how to solve this problem? Thanks

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.

Cross country runners must turn a corner around a tree obstacle, in the rain. a) The first runner takes a wide line to the tree and runs around a curve with a radius of 1.5 m and undergoes a radial acceleration of 10 m/s2. Determine their tangential velocity during the curve. b) The second runner is trying to catch up and so runs closer to the tree. If a loss of control (slip) occurs at a radial acceleration of 22 m/s2, does the runner manage to run around a curve with a radius of 0.50 m at a tangential velocity of 3.5 m/s?

Chapter 5 Problem 8: BIO Ultracentrifuge You are working in a biology lab and learning to use a new ultracentrifuge for blood tests. The specifications for the centrifuge say that a red blood cell rotating in the ultracentrifuge moves at and has a radial acceleration of 150,000 g’s (that is, 150,000 times ). The radius of the centrifuge is 0.15 m. You wonder if this claim is correct. Support your answer with a calculation.