How fast (in rpm) must a centrifuge rotate if a particle 6.50 cm from the axis of rotation is to experience an acceleration of 120000 g's? If the answer has 4 digits or more, enter it without commas, e.g. 13500. Express your answer using three significant figures.

A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north, as shown in Figure. Find the magnitude and direction of the car’s resultant displacement.

A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45degree east of south, and then 280 m at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started.

When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v (0.3t) ft/s², where t is in seconds. Take p = 350 ft. (Figure 1) Figure 60° p 1 of 1 Part A If he starts from rest at A, determine the magnitude of his velocity when he reaches B. Express your answer to three significant figures and include the appropriate units. V = Part B _O Submit a = Value μA 7 Request Answer If he starts from rest at A, determine the magnitude of his acceleration when he reaches B. Express your answer to three significant figures and include the appropriate units. Submit μA Value Units Request Answer ? Units ?

5. When 12 times a number is added to the square of that number, the result is ‒32.  Determine the two numbers that fit this condition. Answer step-by-steps. 6. A cannonball is fired from ground level on an arc described by h = ‒t2 + 8t, where h = the height in metres and t is the time in seconds.  How many seconds after firing will it land? Answer step-by-steps.

A girl delivering newspapers covers her route by traveling 5.00 blocks west, 3.00 blocks north, and then 8.00 blocks east. - What is her final position relative to her starting location? (Enter the magnitude in blocks and the direction in degrees north of east.) -What is the length (in blocks) of the path she walked?

An airplane undergoes the following displacements: First, it flies 287 km in a direction 40.6° east of north. Next, it flies 406 km due south. Finally, it flies 69.3 km 24.1° north of west. How far, d, does the airplane end up from its starting point? d km Report your numerical answer below, assuming three significant figures.

Problem 8: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such plate has an average speed of v= 4.4 cm/year. What distance d, in meters, does the plate move in 1.6 seconds at this speed?

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 20 ft/s. 90 ft (a) At what rate is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) ft/s (b) At what rate is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) ft/s Need Help? Read It

You are on a treasure hunt and your map says "Walk due west for 75.8 paces, then walk 60.0° north of west for 71.5 paces, and finally walk due north for 21.2 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west? (a) Number i (b) Number C Units Units B W # + A E Start