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A metal block starts from rest and slides 12 m down a chute that is inclined at 40° to the horizontal. It then continues to slide along a horizontal length of the chute and eventually comes to rest. If μ = 0,2 between the chute and the block, calculate the horizontal length of the chute. Use conservation of energy to solve this question.


PLEASE ANSWER ACCORDINGLY This is the third time im reposting because answers given were wrong or not relevant


Clearly show the following values in their respective sections


Section A:


Ek=?


Ep=?


ETR=?


ETE=?


Energy equation=??


v=??




Section B:


Ek=?


Ep=?


ETR=?


ETE=?


Distance=??

What is the Moment of a Couple?


 At the exit of a toll gate with a single booth, vehicle arrive at random at a rate of 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. Estimate the following:


(a) Average length of queue formed at the toll gate.


(b) Average waiting time of vehicles.


(c) Average time vehicles spent in the system.




 Vehicles often travel city streets adjacent to parking lanes at 56 kph or faster. At his speed and setting detection through response-initiation time for an alert driver at 2 sec. and f = 0.50, how far must the driver be away from a suddenly opened car door to avoid striking it?


A cone of radius 2 cm and height 5 cm is lowered point first into a tall cylinder of radius 7 cm that is partially filled with water. Determine

how fast the depth of the water is changing at the moment when the cone is completely submerged if the cone is moving with a speed of

3 cm/s at that moment.




Each filter is washed for 5 minutes every 24 hours at a wash rate of 10 mm/sec/m2 of filter area. The filter remains out of operation for a total interval of 30 minutes per day. Calculate the percentage of filter output used for washing. 



The sketch shows an object of mass 10 kg resting on a smooth plane at 25° to the horizontal. The 10 kg mass is attached to a hanging mass of 1 kg by a light cord passing over a light, frictionless pulley at the top of the plane. Determine the direction of movement when the masses are released and then use Newton’s second law to calculate the acceleration of the system and the tension in the cord.


After graduation, you have been offered an engineering job with a large company that has offices in
Manila and Cebu. The salary is Php 55,000 per year at either location. Manila’s tax burden (local taxes)
is 6% and Cebu’s is 3.07%. If you accept the position in Cebu and stay with the company for 10 years,
what is the FW of the tax savings? Your personal MARR is 10% per year.

The radius of a circular oil slick on the surface of a pond is increasing at the rate of 10 meters/min. At what rate is the circle's area changing when the radius of the oil slick is 20 m.


the standard length of the tape was known to be 30.015 at 25 c and 50 N tensions whose normal length is 30m. the tap was is used to measure a base line suspending it between supports and the following measurement were recorded:-

measured length =92.441

elevation difference between the two extreme ends = 4.482m

mean temperature =23 degree C

Cross- sectional area of the tape 1.7mm squire

Tension applied =25 N

weight of the tape = 3.4N

calculate the corrected horizontal distance of the base line if young's modulus of the tape material is 2*100000N/mm squire AND THE coefficient of thermal expansion of the tape is 1.12*1000000/C degree so/N


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