Solve the problem completely. 10 pts CASH A solid block of mass 15.0 kg starts from rest and slides down a rough surface with a length of 10.0 m where the coefficient of friction is Mk=0.25. The surface is inclined at 30.0. After sliding 10 meters down the incline it hits a spring with a spring constant of ks = 250.0 N/m. Draw a freebody Diagram indicating all forces. Write out and solve the force and energy equations. YA228 How high is the block above the spring at the start? Solve for the normal force Solve for the kinetic friction on the block Solve for EFX = mgsino - fk Solve for the acceleration down the incline of the block After the block has slide 10.0 m down the incline What is the change in potential energy due to gravity? What is the change in the internal energy of the system 102 due to friction? What is the kinetic energy of the block? What is the speed of the block? What is the net power of the block? EFV The block hits the block on the rough incline How much is the spring compressed by the block? How much spring potential energy does the spring have at this point? How far will the block go back up the incline from the compression point? (doas 18 joonto9 sol tolog Delion sport Hurno ) m R OSolve the problem completely. 5 points each IMAN 1. Show that the temperature Tx at the interface of a compound slab is given by THIS IS A PROOF. TX = (RITHOT + R2TCOLD)/(R1 + R2) where R = L/k Hot Reservoir Cold Reservoir HEAT Q TX THOT TCOLD 2. A string vibrates according to the equation 18089 THIOT UNO Y(x,t) = 5.50 m * sin((3.0m-!)x)*cos(8.0 rad/s)t (THIS IS A STANDING WAVE.) What is the angular wave number? What is the wavelength? What is the speed of the 2 waves making the standing wave? What is the amplitude of the 2 waves making the standing wave? What is the distance between the nodes? What is the angular speed of the 2 waves making the standing wave? What is the period of the 2 waves making the standing wave? What is the maximum transverse speed of this standing wave? Write the equations for the two waves making up the standing wave Y1(x, t) = Y2(x, t ) =Solve the problem completely. 4 points each 1. A football kicker can give the ball an initial speed of 30.0 m/s. Within what two elevation angles must he kick the ball to score a field goal from a point 45.0 m in front of goalposts whose horizontal bar is 4.00 m above the ground? B. What the speed of the blocks? 30.0 m/s it is the pu 4.00 m 45.0 m g ovoda m COOL is elin free dinile teethov, a offti only aid aszito words in an in toliq soivon A .alm :025 To boage brawqu aa fliw lovol "brong of Youget ily iloser Wiw sunin sill lo migiod mumixum ends at rodW (a) briuong avoda at 008 Yo level Hosts vistas or grinloss edled anight or Jeon of oval doliq orb zoob grol wolf ( d) (nwob ombl + qu smil) = omit IntoT Novel "level m . 008 sri is anrog onalq ord ai fast woll () (poualeless win bangsmelb) Solve for the center of mass of this system. Triangle is a hole Center at (-5, -21) UNITS in em 2. A weather balloon is loosely inflated with helium at a pressure of 1.09 atm and a temperature of 25.0 C. The gas volume is 4.00 m'. At an elevation of 20,000 ft, the atmospheric pressure is down to 0.650 atm and the helium has expanded, being under no restraint from the confining bag. At this elevation the gas temperature is -50.0 C. What is the gas volume now?3. An ideal heat engine whose low temperature reservoir is at 76'C has an efficiency of 35%.dog and sloe a) What is the high temperature? 6 ) By how much should the temperature of the high temperature reservoir be increased to increase the efficiency to 60%? 2m 0.08 4. A novice pilot at an air show takes his plane into a vertical climb until the engine stalls at 1000 m above ground level with an upward speed of 250. m/s. (a.) What is the maximum height of the plane will reach with respect to ground? (b.) How long does the pilot have to restart the engine before reaching the safety eject level of 300 m above ground level? Total time = (time up + time down) (c.) How fast is the plane going at the 300. m level? VTOP = 0 this sys (disregard air resistance) Vo = 250. m/s (10,5) 8 00. I to givering a Is mulled drew boarfini visevol el noolied Tardesw A 1000 m (12810 of awals of provesto Edgeomie sdi .8 090,65 to aousvols ne 1/ ulov eng ard at ledW .540.08- at summonmel ang or notinzolo eidt 16 300. m5. Two blocks of mass M = 3.00 kg and 6.00 kg are connected as shown to a spring (ks = 20.0 N/m) that has one end fixed to a wall. The horizontal surface has a u(kinetic) = 0.25 and the pulley is frictionless. The 3.00 kg block will not leave the platform. The pulley is mass less. The system is released from rest with the spring unstretched. A. What is the combined kinetic energy of the two masses after the hanging mass has fallen 1.50 m? B. What is the speed of the blocks? 00 M C. What is the maximum distance that the hanging mass will fall before momentarily stopping? JOV 2M holiday. 9. 69.08.67 in 00.4 82 )1 00as of tovil signs. 1 any 0.01 21 V1 0001 of tovil signout translational king the equilibrium position. 6. Solve for the center of mass of this system. Triangle is a hole Center at ( -5.0, -2.1) UNITS in cm oscillation of this (-10,5) 10,5) (-10,-5) 10,-5)7. Solve this equilibrium problem for the vertical, horizontal, forces and tensions. (V,H, T) 600 T 450 750 750 Pivot 50 75 309 H 1000 N 2500 N 300 N Length Pivot to 2500 N is 4.00 m Length Pivot to 1000 N is 10.0 m .mislave aid) To exam To to lation of this sys (2.01 (2.01-)8. A billiard ball moving at a speed of 7.00 m/s strikes an identical stationary ball a glancing blow. After the collision, one ball is found to be moving at 5.00 m/s at 60.0 degrees with the original line of motion. (a) Find the angle and velocity of the second ball. to the right at 40.0 m/s, an (b) Is this collision elastic or inelastic? Bleib out to glow and al JedW (s (c.) Which side has more energy (before or after)? Seesm ofit To noitsoloson adt al JedW (d elluq qsbrilyo bro gnit d bus allelesern odd as nod qile son esob grinde edfill (b 600 lolzas'T) sonot s thiw isbailyo and no qu 0 210.01 FORK FORK 9. A thin 5.00 kg sphere is attached to a horizontal massless spring so that it can roll without slipping along a horizontal surface, as in the figure below. The force constant of the spring ks is 200. N/m. If the spring is stretched by 0.300 m find: Beta value is 2/5 (a) The translational kinetic energy at the equilibrium position. (b) The rotational energy at the equilibrium position. (c) The rolling energy at the equilibrium position. (d) Find the natural frequency of oscillation of this system? (e) Find the period of oscillation of this system? (at 90 0. C) in a Styrofoam er necessary to warm and melt the ice cubes Li - 79.5 calls10 A 10.0-kg disk with a rotational inertia given by MR2/2 is free to rotate on a fixed horizontal axis suspended from the ceiling. A string is wrapped around the disk and a 4.0-kg mass hangs from the free end. a) What is the weight of the disk? b) What is the acceleration of the mass? What is the tension T in the rope? d) If the string does not slip then as the mass falls and the cylinder rotates the suspension holding the cylinder pulls up on the cylinder with a force (Tension) of: