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A crate has a mass of 42 kg is placed on an 50° incline surface. The coefficient of friction between the crate and the surface is 0.85. If the crate is pushed down the incline at a rate of 2.25 m/s2, determine:

a) the normal force 

 

b) the frictional force 


c) the pulling force P 



A string is 7.63 m long with a mass of 8.56 g. The string is held taut with a tension of 457 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?


Identify the lower and upper confidence limits of 32.75 < population mean < 37.77

A population consists of value (2,3,5). Consider all possible samples of size n=2 that can be drawn with resplacement from this population

A second year physical sciences student drives at an average speed of 40 km/h to see a friend, 

who lives a distance of 100km/h away (you may take the problem as being one-dimensional!). 

On arrival she discovers that he has misunderstood the arrangements and has already left to 

drive to visit her. She returns home, driving at an average speed of 70 km/h on the return trip. 

What is her average velocity for the whole journey? What is her average speed? If each left 

originally at the same time and his average speed is 30 km/h, who arrives first at her house? 


A government agency is investigating a complaint from some concerned citizens who said that there is short-weight selling of rice in a certain town. An agent manufacturer took a random sample of 20 sacks of "50 kilo" sacks of rice from a large shipment and finda that the mean weight is 49.7 kilogram with the standard deviation of 0.35 kilogram. The level of significance is 0.01

Make a class named Fruit with a data member to calculate the number of fruits in a basket. Create two other class named Apples and Mangoes to calculate the number of apples and mangoes in the basket. Print the number of fruits of each type and the total number of fruits in the basket.


A poster is to have an area of 630 cm2 with 2.5 cm margins at the bottom and sides and a 5 cm margin at the top. Find the exact dimensions (in cm) that will give the largest printed area.



width : cm



height: cm

When you a firms total revenue is less than its total economic costs, the firm is earning a normal profit only? True or false?


A simple pendulum complete one vibration in one sec. Find its length when = 10ms

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