"in analyzing distances by apply ing the physics of gravitational forces, an astronomer has obtained the expression
r= √1/([1/140×10^9 meter]^2 - [1/208×10^9]^2)
use your calculator to evaluate r. view available hint(s)
(a) 3.87 x 10-12 meter
(b) 1.72× 1011 meter
(c) 2.58 x 1011 meter
(d) 1.49 x 1011 meter "

Very large accelerations can injure the body, especially if they last for a considerable length of time. one model used to gauge the likelihood of injury is the severity index ( ), defined as =/ . in the expression, is the duration of the accleration, but is not equal to the acceleration. rather, is a dimensionless constant that = the number of multiples of that the acceleration is equal to. in one set of studies of rear-end collisions, a person's velocity increases by 13.7 km/h with an acceleration of 36.0 m/s2 . let the + direction point in the direction the car is traveling. what is the severity index for the collision?

The earth exerts a gravitational force of 500 n on amy. what is amy’s mass in kg?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect