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A car approaches a stationary police car at 36 m/s . The frequency of the siren (relative to the police car ) is 500 Hz. What is the frequency (in Hz) heard by an observer in the moving car as he approaches the police car? (Assume the velocity of sound in air is 343 m/ s.)


A body of mass 2000g falls from rest and has a kinetic energy of 2kJ calculate the height from which the body has fallen


investigate and explain the procedure by which mechanical engineers or motor mechanics fasten engine bolts using a ratchet.

2.what is the function of a feeler gauge?

3.what is the difference between a vice grip and a wrench in terms of their structure and functions?

4.why do some technicians use Allen keys instead of self tapping screws to fasten joints?

5.explain the method by which a micrometer is used to determine the depth or the size of an object.

6.describe why engineers or technicians may prefer a Vernier calliper to other measuring instruments.


An astronaut on Mars finds that the periodic time of a simple pendulum 1.56 m long is 4.0175 s. Determine the acceleration due to gravity on Mars.


Plan to go to a place by a vehicle. Take readings of odometer and speedometer after every 5 minutes till you reach your destination. Record these observations in tabular form; plot graphs between distance - time and speed - time. Write a brief report about it and draw the tabular column and paste the graph.


A 0.75 in x 2 in timber is used as a column with both end hinged. Determine the minimum length at which Euler’s formula can be used if E = 1.45×106 psi and the proportional limit is 4.35 ksi. What central load can be carried with a factor of safety of 2 if the length is 10 feet?


2- The aerodynamic drag of a new sports truck is to be predicted at a speed of 50.0 km/h at an air temperature of 25 degrees * C . Automotive engineers build a one- sixth scale model of the car to test in a wind tunnel. It is winter and the wind tunnel is located in an unheated building; the temperature of the wind tunnel air is only about 10 degrees * C . Determine how fast the engineers should run the wind tunnel in order to achieve similarity between the model and the prototype , if the drag sensor read 80 N fine the drag force exerted on prototype . Properties for air at atmospheric pressure and T = 25 degrees * C , p = 1.184kg / cm3 and mu=1.849^ * 10^ ^ -5kg/m.s , similarity at T = 10 degrees * C; p=1.22 kg/cm3 and mu=1.792^ * 10^ ^ -5kg/m.s .


Two people, at the ends of a uniform beam that weighs 400 N, hold the beam vertically.

How much vertical force must each person furnish to the beam for it to be in equilibrium? Draw the free body diagram.


A block starts up at point A of an incline of 250 with initial speed v and stops at point B. Calculate speed v if the coefficient of kinetic friction between the incline and the block is µK = 0.40 and d = AB = 2 m.


One mole of an ideal monatomic gas follows a closed cycle ABC: process AB is adiabatic, BC is isochoric and CA is isothermal. If the temperature at point A, TA = 350 K and VB = 3VA = 3V1 , calculate the net work done by the gas for the closed cycle ABC.


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