The radius of curvature of a loop-the-loop for a roller coaster is 12.4 m. at the top of the loop (with the car inside the loop), the force that the seat exerts on a passenger of mass m is 0.80mg. find the speed of the roller coaster at the top of the loop.
At the top of the loop, there's 2 opposing forces. The centripetal force that's attempting to push the roller coaster away and the gravitational attraction. These 2 forces are in opposite directions and their sum is 0.80 mg where m = mass and g = gravitational attraction. So let's calculate the amount of centripetal force we need.
0.80 = F - 1.00
1.80 = F
So we need to have a centripetal force that's 1.8 times the local gravitational attraction which is 9.8 m/s^2. So
1.8 * 9.8 m/s^2 = 17.64 m/s^2
The formula for centripetal force is
F = mv^2/r
F = force
m = mass
v = velocity
r = radius
We can eliminate mass from the equation since the same mass is being affected by both the centripetal force and gravity. So:
F = v^2/r
17.64 m/s^2 = v^2/12.4 m
218.736 m^2/s^2 = v^2
14.78972616 m/s = v
So the velocity at the top of the loop (rounded to 2 decimal places) is 14.79 m/s.
Maria has a sore throat. her father takes her to the doctor and she is given an antibiotic. after ten days, maria is still sick. use the model seen here and describe what has happened to maria in terms of natural selection.
10 WHAT WAS A GOAL THAT THE WRITERS ERASMUS,MORE, AND RABELAIS ALL HAD IN COMMON A TELLING COMICAL TALES B TRANSLATING BIBLICAL STORIES C CHANGING AND REFORMINg 12 WHICH EVENT MOST DIRECTLY DIRECTLY CONTRIBUTED TO THE SPREAD OF PROTESTANT IDEAS DURING REFORMATION A COUNCIL OF TRENT B INVENTION OF PRINTING PRESS C PEASANTS REVOLT D PERSECUTION OF ANABAPTISTS 13 HOW DID MARTIN LUTHER ’95 THESES CONTRIBUTE TO THE START OF THE PROTESTANT REFORMATION A BY ARGUING FOR PREDESTINATIONAS A SOURCE OF SALVATION B BY DEMANDING RELIGIOUS LEADERSHIP OF GOVERNMENT C BY REFUSING TO GRANT DIVORCES OR ANNULMENTS D BY REJECTING PAPAL AUTHORITY OVER THE COMMUNITY OF BELIEVERS 14 HOW DID PROTESTANTISM PROMOTE INDIVIDUALISM A BY DECLARING THAT SALVATION CAME FROM GOD alone and had already been predetermined B by encouraging people to read and interpret scriptures themselves C by insisting that all individuals have access to religious education D by promoting acts of good deeds as a means to escape purgatory 15 which of calvins belief belief set him apart from catholics A Papal infallibility B Importance of scripture C role of sacraments D leadership of pope
The method is this: in an acre of ground you bury, at six inches distance and eight deep, a quantity of acorns, dates, chestnuts, and other mast or vegetables, whereof these animals are fondest; then you drive six hundred or more of them into the field, where, in a few days, they will root up the whole ground in search of their food, and make it fit for sowing, at the same time manuring it with their dung: it is true, upon experiment, they found the charge and trouble very great, and they had little or no crop. However it is not doubted, that this invention may be capable of great improvement. Which excerpt from the passage is the best example of understatement? A. in an acre of ground you bury, at six inches distance and eight deep, a quantity of acorns, dates, chestnuts B. then you drive six hundred or more of them into the field, where, in a few days, they will root up the whole ground C. they found the charge and trouble very great, and they had little or no crop D. it is not doubted, that this invention may be capable of great improvement
Why did conservatives disapprove of the secularization of American society? A. They worried that Americans’ values were slipping away. B. They believed in the separation of church and state. C. They did not support the views of the Moral Majority. D. They believed that some traditions should make way for change.