I. Kinematics (30 points) The position of a particle moving along the x-axis is given by the formula x(t)-(1.0 m/s) t-(5

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I Kinematics 30 Points The Position Of A Particle Moving Along The X Axis Is Given By The Formula X T 1 0 M S T 5 1 (82.53 KiB) Viewed 9 times

I. Kinematics (30 points) The position of a particle moving along the x-axis is given by the formula x(t)-(1.0 m/s) t-(5.0 m/s) t+1.0 m, where t is in seconds. (e) Find the displacement Ax during the time interval between t-4.0 s and t-5.0 s (b) Find the average velocity during the same time interval. 2. Dynamics (30 points) Consider a wheel in the shape of a uniform circular disk of radius R 10.0 cm. The disk is mounted so that it is able to rotate about a horizontal axis. A string is wrapped around the rim of the disk, and a mass m is attached to the end of the string. When released, the mass m descends to the floor and the disk rotates. It is found experimentally that when mass m 11 grams, it descends at a constant speed of 19 cm/s. Find the torque due to friction (i.e. the countertorque) at the axle of the disk. The moment of inertia about the disk axis is .0214 kg m². For this situation, what is the angular momentum of the disk? 3. Thermodynamics (a) Adiabatic processes (15 points) In class we used the adiabatic relation. PVT constant, and combined it with the Ideal Gas Law to obtain the adiabatic relation between temperature and volume, TV constant. Similarly, find the adiabatic relation between pressure and temperature. (b) Entropy (15 points) The latent heat of vaporization of water is 539 cal/gram at sea level pressure and T 100 *C. If one mole of water vapor condenses (reversibly) at these conditions, what is the change in entropy of the water? 4. Vectors (30 points) A hiker sets off at 8 AM in level terrain. At 9 AM she is 2.0 km due cast of her starting point. At 10 AM she is 1.0 km NW of her 9 AM position. At 11 AM she is 3.0 km due north of her 10 AM position. Illustrate this situation with a vector diagram. How far is the hiker from her starting point by 11 AM, and in what direction?