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2.
a. Provide mathematical definitions of K.E., P.E. and give their units in the MKS system of units. b. Provide a mathematical definition of torque, and give its unit in the MKS system of units. c. Considering m1 = 3 kg, m2 = 7 kg, and 𝜃 = 50o. (a) Draw the freebody diagram of both objects, (b) find the magnitude of the acceleration, (c) find the tension in the string, (d) find the speed of each object after 2 seconds.
d. The force on a particle is Fx = (9x – 18), where F is the force in newtons and x is in meters. Find the net work done by this force on the particle as it moves from x = 0 to x = 4 m.
3.
a. Derive an equation for the velocity in terms of the terminal velocity of a falling object when the air friction is proportional to the velocity of the falling object. b. Calculate the moment of inertia of a uniform rigid rod.
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Explanation & Answer
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Running head: Mathematics
Mathematics
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MATHEMATICS
Kinetic Energy is the energy gained by an object in motion given by K.E = 1/2mv 2
where m is mass in kilograms and v is velocity in ms -2 .
Potential Energy is the energy an object has because of its position comparative to some
oth...
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