A fairgrounds ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has a 7.00 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 2.20 times that due to gravity? x rev/min Taking the age of Earth to be about 4 x 109 years and assuming its orbital radius of 1.5 x 1011 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun). x At takeoff a commercial jet has a 55.0 m/s speed. Its tires have a diameter of 0.400 m. (a) At how many rpm are the tires rotating? rpm (b) What is the centripetal acceleration at the edge of the tire? m/s (c) With what force must a determined 10-15 kg bacterium cling to the rim? N (d) Take the ratio of this force to the bacterium's weight. (force from part (c)/bacterium's weight) Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of one's birth. The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude of the gravitational force (in N) exerted on a 4.00 kg baby by a 110 kg father 0.200 m away at birth (he is assisting, so he is close to the child.) N (b) Calculate the magnitude of the force on the baby (in N) due to Jupiter if it is at its closest distance to Earth, some 6.29 1011 m away. Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.) N How does the force of Jupiter on the baby compare to the force of the father on the baby? Ffather FJupiter