p.sylvia38 2022-05-14
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asked 2021-02-20

An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. 1) The rope will break if the tension in it exceeds 4.50104N and our hero's mass is 86.5 kg.

 Figure 1 a) If the angle θ is 13.0, find the tension iin the rope.

b) What is the smallest value the angle θ can have if the rope is not to break?

 

asked 2021-02-13

A rocket is launched at an angle of 53 degrees above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s a long its initial line of motion with an acceleration of 30.0 m/s/s. At this time, its engines fail and the rocket proceeds to move as a projectile. Find: 
a) the maximum altitude reached by the rocket 
b) its total time of flight 
c) its horizontal range.

asked 2021-03-07

A block of mass m=2.20 kg slides down a 30 degree incline which is 3.60 m high. At the bottom, it strikes a block of mass=7.00 kg which is at rest on a horizontal surface in the picture. If the collision is elastic, and friction can be ignored, determine (a)the speeds of the two blocks after the collision, and (b) how far back up the incline the smaller mass will go.
image

asked 2020-10-18

A weatherman carried an aneroid barometer from the groundfloor to his office atop a tower. On the ground level, the barometer read 30.150 in Hg absolute; topside it read 28.607 in hg absolute. Assume that the average atmospheric air density was 0.075lb/ft3, estimate the height of the building.

asked 2021-11-13
A local bank reviewed its credit card policy with the intention of recalling some of its credit cards. In the past approximately 5% of cardholders defaulted, leaving the bank unable to collect the outstanding balance. Hence, management established a prior probability of .05 that any particular cardholder will default. The bank also found that the probability of missing a monthly payment is .20 for customers who do not default. Of course, the probability of missing a monthly payment for those who default is 1.
1. Given that a customer missed one or more monthly payments, compute the posterior probability that the customer will default.
1. The bank would like to recall its card if the probability that a customer will default is greater than .20. Should the bank recall its card if the customer misses a monthly payment?
Why or why not?
asked 2022-06-25
Antiderivative of 1 4 sin ( 2 x )
I am trying to find the antiderivative of 1 4 sin ( 2 x ) but i'mn ot sure how to find this. Can someone maybe give me what formula to use when it involves sin?
asked 2022-04-20

The rotating blade of a blender turns with constant angular acceleration 1.25 rad/s2
.
a) How much time does it take to reach an angular velocity of 34.0 rad/s, starting from
rest?
b) Through how many revolutions does the blade turn in this time interval?

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