to the larger star? +y L₂+ c. What is the y component of the force? 10M b. What is the x component of this force? Hint: you should be able write the values the sines and cosines without using any inverse trig functions. You don't need to know what the angles are, just what the sines and cosines ar 3L 4L 5L 4L d. Write the force on the space probe due to the smaller star in component vector form. Give answers in terms o

P6

QUESTION 1 1-The following equation refers to V-pendulum experiment: Y=-14X+15 and T4=(44 Lk/g²2) (8n4L/g² )d, where : L: length of the string (2 meters). T: pendulum periodic time d: distance between rods k: pendulum constant g: gravitational acceleration find the periodic time (T) if the distance equal (1) meter. 015 O 0.95 O 1.17 s O2.01 s

The following quotation is taken from the article “Quantum Black Holes”, by Bernard J. Carr and Steven B. Giddings, in the May 2005 issue of Scientific American. "The total time for a black hole to evaporate away is proportional to the cube of its initial mass. For a solar-mass hole, the lifetime is an unobservably long 1064 years." a. Recall that the solar mass is 2 × 10³0 kilograms. Write a formula for the lifetime, L, of a black hole as a function of its mass, m. Start by finding the value of the constant k, then write your function using the letter k (rather than its value in scientific notation). For example, for a direct variation you would write “L(m) = km”. k = a × 10¹ where a = L(m) = b. The present age mass = c × 10ª kg, where c = A and b = = of the universe is about 10¹0 years. What would be the mass of a black hole as old as the universe? ID and d = J