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Tarzan (m = 74 kg) commutes to work swinging from vine to vine

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Tarzan (m = 74 kg) commutes to work swinging from vine to vine. He leaves the platform of his treehouse and swings on the end of a vine of length L = 8.0 m. (a) If the platform is 1.9 m above the lowest point in the swing, what is the tension in the vine at the lowest point in the swing? (b) Tarzan again takes to his morning commute, but this time a monkey of mass mm = 23 kg hitches a ride by jumping onto Tarzan's back. If a vine can withstand a maximum tension of 1200 N, will it snap under the tension of the added passenger? If so, at what angle with respect to the vertical does the vine break?

2 . The article below is from the August 29, 2013, Green Bay Press-Gazette. Based on the information in the article, what is the coefficient of friction between the roller coaster and the track during its 180-foot drop?

Zero to 72 mph Six Flags Greet America announces plans for world's fastest wooden roller coaster

When six flags Great America says it has a new giant roller coaster in the works it is not just throwing around adjectives.

Goliath, which will open at the Gurnee, III Park in 2014, will be the fastest wooden roller coaster in the world at 72mph and feature the world’s tallest wooden coaster drop (180 feet) and steepest coaster drop (85 degrees).

“Six Flags Great America is known for introducing record-breaking and first of its kind roller coasters,” said Hank salami, Six Flags Great America park president. “Goliath will be unmatched- setting not only one, but three world record and featuring two inversions. All of the ride elements, including an 85-degree plunge down the tallest drop on a wooden roller coaster, make Goliath the most extreme wooden roller coaster in the world.”

Goliath will take riders up a 165-foot lift hill, then plunge them dawn a record-setting 180 foot, 85-degree drop, riders will gain speeds of up to 73 mph and blast through three …a 180-degree zeru G roll, an inverted drop, and an inverted zeru g stall.

Construction on the coaster begins this fall in the Country Fair section of the park. It’s scheduled to open in spring.