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Review. Consider a tall building located on the Earth’s equator. As the Earth rotates, a person on the top floor of the building moves faster than someone on the ground with respect to an inertial reference frame because the person on the ground is closer to the Earth’s axis. Consequently, if an object is dropped from the top floor to the ground a distance h below, it lands east of the point vertically below where it was dropped. (a) How far to the east will the object land? Express sour answer in terms of h, g, and the angular speed ω of the Earth. Ignore air resistance and assume the free-fall acceleration is constant over this range of heights. (b) Evaluate the eastward displacement for h = 50.0 m. (c) In your judgment, were we justified in ignoring this aspect of the Coriolis effect in our previous study of free fall? (d) Suppose the angular speed of the Earth were to decrease with constant
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Chapter 10 Solutions
Physics for Scientists and Engineers with Modern Physics
- Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.arrow_forwardA golfball is swung around in a uniform circular motion with a diameter of 3 m. If the ball makes 4 revolutions in 4.1s, its period = s frequency = Hz tangential speed = m/s angular velocity = rad/s tangential acceleration = m/s2 centripetal acceleration = m/s2arrow_forwardEven though an object can have a constant tangential speed, the acceleration of an object in circular motion can NEVER be ____________________. A. zero B. less than the value of the speed C. equal to the value of the centripetal force.arrow_forward
- From information on the endsheets of this book, compute, for a point located on the surface of the Earth atthe equator, the radial acceleration due to the rotationof the Earth about its axis.arrow_forwardPeter propels a penguin with mass 10.0kg from 2.50m above the ground at an angle 30.0o from the horizontal axis (ground), with an initial speed of 15.0 m/s. Assuming the penguin remains rigid (scared, so assume the particle model!) and ignoring any rotational effects, At what time does the penguin land on the ground? a. 3.62 seconds b. 2.42 seconds c. 1.81 seconds d. 1.53 secondsarrow_forwardAn object moving in a circular trajectory experiences both centripetal and tangential accelerations. Can the two accelerations ever cancel each other out? a No. b You're kidding, right? c Yes. d Only if the plane of the trajectory makes an angle with the vertical.arrow_forward
- Starting from a standstill, a windmill-style softball pitcher executed a pitch in 0.6 s. If her pitching arm is 0.75 m long and the tangential ball speed is 25 m/s, what is the magnitude of the total acceleration on the ball at this point?arrow_forwardAn Olympic speed skater increases her velocity from Vi =6.54 m/s to Vf=9.19 m/s over a period of 5.2seconds while skating around a curve with a 20m radius. What is the magnitude of her centripetal acceleration at the end of this acceleration? What is the magnitude of her tangential accelerationover this 5.2 second period?arrow_forwardAn object of mass m1 = m and an object of mass m2 = 2m move around a rotation axis A in parallel circles of radii r1 = 2r and radii r2 = r, with tangential speeds v1 = 2v and v2 = v, as shown. As they rotate, forces of equal magnitude are applied opposite to their velocities to stop them. Which statement is correct? m2 will stop first because it has the smaller initial tangential speed Both objects will stop at the same time because their angular speeds are equal at all times m2 will stop first because it has the smaller radius m2 will stop first because it has a smaller moment of inertia m1 will stop first because it has the smaller initial angular velocity m1 will stop first because the torque on it is greaterarrow_forward
- In the figure, a solid 0.3 kg ball rolls smoothly from rest (starting at height H = 6.4 m) until it leaves the horizontal section at the end of the track, at height h = 1.5 m. How far horizontally from point A does the ball hit the floor? The answer is not 5.42.arrow_forwardWhich of the following statement(s) is/are correct? i. A car going with a constant speed in a circular track has constant linear velocity. ii. A car going with a constant speed in a circular track has a constant acceleration. iii. A car going with a constant speed in a circular track has a constant angular velocity. iv. A car going with a constant speed in a circular track has a constant force.arrow_forwardThe earth orbits the sun once a year (3.16 ✕ 107 s) in a nearly circular orbit radius 1.50 ✕ 1011 m. With respect to the sun, determine the following.(a) the angular speed of the earth rad/s(b) the tangential speed of the earth m/s(c) the magnitude and direction of the earth's centripetal acceleration m/s2arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning