In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun ( M sun = 1.99 × 10 30 kg) at a distance of 1.50 × 10 11 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. Problems 47–49 relate to some of these planets that follow circular orbits around other stars. 49. Kepler-42c orbits at a very close 0.0058 au from a small star with a mass that is 0.13 that of the sun. How long is a “year” on this world?
In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun ( M sun = 1.99 × 10 30 kg) at a distance of 1.50 × 10 11 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. Problems 47–49 relate to some of these planets that follow circular orbits around other stars. 49. Kepler-42c orbits at a very close 0.0058 au from a small star with a mass that is 0.13 that of the sun. How long is a “year” on this world?
In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun = 1.99 × 1030 kg) at a distance of 1.50 × 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. Problems 47–49 relate to some of these planets that follow circular orbits around other stars.
49. Kepler-42c orbits at a very close 0.0058 au from a small star with a mass that is 0.13 that of the sun. How long is a “year” on this world?
In order for Jane to return to base camp, she needs to swing across a river of width D that is filled with alligators. She must swing into a wind exerting constant horizontal force F,
F = 110 N, L = 40.0 m, 0 = 50.0°, and her mass to be 50.0 kg.
Wind
→F
Tarzan!
Jane
(a) with what minimum speed (in m/s) must Jane begin her swing to just make it to the other side? (If Jane can make it across with zero initial velocity, enter 0.)
m/s
on a vine having length L and initially making an angle with the vertical (see below figure). Take D = 48.0 m,
(b) Shortly after Jane's arrival, Tarzan and Jane decide to swing back across the river (simultaneously). With what minimum speed (in m/s) must they begin their swing? Assume that Tarzan has a mass of 80.0 kg.
m/s
R=2.00
12V
2.00
4.00
4.002
What is the current in one of the 4.0 Q resistors?
An isolated point charge q is located at point X. Two other points Y and Z are such
that YZ2 XY.
Y
X
What is (electric field at Y)/(electric field at Z)?
Two objects (m₁ = 4.75 kg and m₂
2.80 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.75-kg object is released from rest at a point h = 4.00 m above the table
mg
m
(a) Determine the speed of each object when the two pass each other.
m/s
(b) Determine the speed of each object at the moment the 4.75-kg object hits the table.
m/s
(c) How much higher does the 2.80-kg object travel after the 4.75-kg object hits the table?
m
Genetic Analysis: An Integrated Approach (3rd Edition)
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