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A hollow, spherical shell with mass 2.00 kg rolls without slipping down at 38.0 slope. Find the acceleration, the friction force, and the minimum coefficient of friction needed to prevent slipping

A baseball leaves the bat at an angle of 37° above the horizontal at a speed of 120 ft/s. How high does it go? How far forward is it at its highest point?

A fan blade is initially rotating an angular speed of 4.6 rpm. It slows down and eventually comes to rest in a time of 32 seconds after turning through a total of 8.8 revolutions. Find



a) the angular speed in rad/s



b) the average angular velocity and



c) the average angular acceleration of the fan blade.

a normal force of 35 N acts over an area of 12.5cm2 what is the pressure exerted by the force?


A study believes that 70% of adults in the Philippines own a cellphone.

A cellphone manufacturer believes that the actual number is much

less than 70%. 100 Filipino adults were surveyed, of which 74 have

cellphones. Using a 5% level of significance, is the cellphone

manufacturer’s claim valid or not?


The letters in the word TRIANGLE are to be arranged. How many ways can these letters be arranged in a line such that letters E and G appear in adjacent positions?

`Q2. CASE STUDYI ndia is competitive manufacturing locationdue to the low cost of manpower and strongtechnical and engineering capabilitiescontributing to higher quality production runs.The production of TV sets in a factoryancreases every year. It produced 1160000 setsin 2018, 2000000 sets in 2020and 2200000sets in 2021.Based on the above infor mation, answer thefollowing questions:1. Find the total production in the year 2018and 2019.2. In which year, the production was 2 millionsets?3. Find the difference of the production in theyear 2018 and 2020.4. Write 2200000 in words according to HindA rabic number system.


1. A motorcycle begins driving from at rest position. It accelerates at 8 km/hr2 for 20 seconds, then travels at a steady speed for another 20 seconds, all in the same direction. How much distance has it covered since it started driving?


2. An object is dropped from a cliff, the time it takes to hit the ground is 3 seconds. What is the height of the cliff? What is the velocity of the object before it hits the ground?


You are thrown from a motorcycle and skid in a straight line to a complete stop on a rough

gravel path. A measurement of the bloody skidmark reveals that it is 11 m long. What is

the average force did the gravel exert on your body? Assume that your mass is 55.0 Kg

and your initial speed was 30 km/h.


Three forces F1 , F2 , and F3 act on an object with mass 25 kg.

The forces are the following:

F1 = 3i 6j + 3k

F2 = 5i + 9j + 2k

F3 = 6i + 3j - 6k ,

where the forces are measured in Newtons. (a) What is the net force vector? (b) What is

the magnitude of the net force? (c) What is the acceleration vector? (d) What is the

magnitude of the acceleration vector?


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