Can you post the work and the formulas you used to get the answers thank you!! Physics 231 Set 5 Falling Diver 1.) A 93.0 kg diver falls from rest into a swimming pool from a height of 4.50 m. It takes 1.70 s for the diver to stop after entering the water. Find the magnitude of the average force exerted on the diver during that time. Passenger in a car (2 parts) 2a.) A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from zero to 7.53 m/s in 4.16 s. What is the magnitude of the linear impulse experienced by a 65.5 kg passenger in the car during this time? 2b.) What is the average force experienced by the passenger? Speed of a golf ball 3.) High speed stroboscopic photographs show that the head of a 191 g golf club is traveling at 55.6 m/s just before it strikes a 46.6 g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 44.5 m/s. Find the speed of the golf ball just after impact. 4) Superman Stopping a train (3 parts) a.)Find the speed at which Superman (mass=89.0 kg) must fly into a train (mass = 17323 kg) traveling at 65.0 km/hr to stop it. b.) Running into the train at that speed would severely damage both train and passengers. Calculate the minimum time Superman must take to stop the train, if the passengers experience an average horizontal force of 0.420 their own weight. c.) How far does the train then travel while being slowed to a stop? MSU Football 5.) An MSU linebacker of mass 113.0 kg sacks a UM quarterback of mass 94.0 kg. Just after they collide, they are momentarily stuck together, and both are moving at a speed of 3.10 m/s. If the quarterback was at rest just before he was sacked, how fast was the linebacker moving just before the collision? Perfectly inelastic collision of two spheres 6.) A 4.31 kg sphere makes a perfectly inelastic collision with a second sphere that is initially at rest. The composite system moves with a speed equal to one third the original speed of the 4.31 kg sphere. What is the mass of the second sphere? Bullet fired into a block (3 parts) 7.) An m = 7.04 g bullet is fired into a 375 g block that is initially at rest at the edge of a table of h = 1.03 m height as shown in the figure. a.) The bullet remains in the block, and after the impact the block lands d = 2.18 m from the bottom of the table. How much time does it take the block to reach the ground once it flies off the edge of the table? b.)What is the initial horizontal velocity of the block as it flies off the table? c.)Determine the initial speed of the bullet. Walking on a plank on an icy lake (2 parts 8a.) A 49.1 kg girl is standing on a 149 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.73 m/s relative to the plank. What is her velocity relative to the ice surface? 8b.) What is the velocity of the plank relative to the ice surface? Serway_P06-40 (4 parts) 9a.) A billiard ball rolling across a table to the right at 1.4 m/s makes a head-on elastic collision with an identical ball. The mass of a billiard ball is 38 g. If the second ball is initially at rest, what is the velocity of the first ball after the collision? 9b.) If the second ball is initially at rest, what is the velocity of the second ball after the collision? 9c.) If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the first ball after the collision? 9d.) If the second ball is initially moving to the left with a velocity of -0.7 m/s, what is the velocity of the second ball after the collision? Railroad Car 10.) A railroad car of mass 27500 kg is released from rest in a railway switchyard and rolls to the bottom of a slope Hi =10.2 m below its original height. At the low point, it collides with and sticks to another car of mass 19500 kg. The two cars roll together up another slope and climb up to a height Hf above the low point, where they come to a stop before rolling back. Ignore the effects of friction and calculate Hf in m. 11.) MomentumEnergyConcept The mass m1 enters from the left with velocity v0 and strikes a mass m2 > m1 which is initially at rest. The collision between the blocks is perfectly elastic. The mass m2 then compresses the spring an amount x. The maximum energy stored in the spring is ...... the initial energy of m1. Immediately after the collision, the momentum of m2 is ....... the initial momentum of m1. Immediately after colliding with m2, the mass m1 stops and has zero velocity. Immediately after the collision, the energy of m2 is ...... the initial energy of m1. Serway_P06-35 (2 parts) 12a.) A 5.3-g object moving to the right at 34 cm/s makes an elastic head-on collision with a 10.6-g object that is initially at rest. What is the velocity of the 5.3-g mass after the collision? 12b.) What fraction of the initial kinetic energy was transferred to the 10.6-g block? Serway_P06-05 (2 parts) 13a.) A pitcher claims he can throw a 0.145-kg baseball with as much momentum as a 3.5-g bullet moving with a speed of 1.65 x 103 m/s. What must the baseball's speed be if the pitcher's claim is valid? 13b.) With what speed must the pitcher throw the ball to equal the kinetic energy of the bullet? 14.) Flatcar A man of mass M1 = 118 kg is standing on a M2 = 5220 kg railroad flatcar that rolls without friction to the right with speed 3.4 m/s. Calculate the change in velocity (in m/s) of the flatcar, if the man runs to the left so that his speed relative to the original velocity of the car is 6 m/s. 15.) Automatic Weapon An automatic weapon can fire 72 bullets per minute at V = 250 m/s. If each bullet has a mass M = 50 g, what is the average force in N on the shoulder of the Marine shooting the weapon? Set 6 Air puck on a table 1.)An air puck of mass 0.658 kg is tied to a string and allowed to revolve in a circle of radius 1.01 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.17 kg is tied to it as seen in the figure. a.)The suspended mass remains in equilibrium while the puck on the tabletop revolves. What is the tension in the string? B.)The suspended mass remains in equilibrium while the puck on the tabletop revolves. What is the tension in the string? c.)What is the speed of the puck? Rotating Space Station 2.)A proposed space station includes living quarters in a circular ring 63.0 m in diameter. At what angular speed should the ring rotate so the occupants feel that they have the same weight as they do on Earth? Race track 3.)A section of a high speed test track is circular with a radius of curvature R = 1600 m. At what angle of ? should the track be inclined so that a car traveling at 61.0 m/s (136 mph) would keep moving in a circle if there is oil on that section of the track, i.e., it would not slip sideways even with zero friction on that section. (Hint: The car's vertical acceleration is zero.) Highway exit 4.) The radius of curvature of a highway exit is r = 58.5 m. The surface of the exit road is horizontal, not banked. (See figure.) If the static friction between the tires and the surface of the road is ?s = 0.741, then what is the maximum speed at which the car can exit the highway safely without sliding? First and Second Cosmic Speeds (3 parts) First and Second Cosmic Speeds (3 parts) 5a.) Planet-X has a mass of 4.25?1024 kg and a radius of 6240 km. What is the First Cosmic Speed i.e. the speed of a satellite on a low lying circular orbit around this planet? (Planet-X doesn't have any atmosphere.) ________________________________________ b.)What is the Second Cosmic Speed i.e. the minimum speed required for a satellite in order to break free permanently from the planet? ________________________________________ c.)If the period of rotation of the planet is 20.1 hours, then what is the radius of the synchronous orbit of a satellite? Escape velocity 6.) The escape velocity of a bullet from the surface of planet Y is 1951.0 m/s. Calculate the escape velocity from the surface of the planet X if the mass of planet X is 1.29 times that of Y, and its radius is 0.903 times the radius of Y. Speed of a satellite around the Earth 7.)Find the speed of a satellite in a circular orbit around the Earth with a radius 2.55 times the mean radius of the Earth. (Radius of Earth = 6.37?103 km, mass of Earth = 5.98?1024 kg, G = 6.67?10-11 Nm2/kg2.) Planets X and Y 8.) Two planets X and Y travel counterclockwise in circular orbits about a star, as seen in the figure. The radii of their orbits are in the ratio 2:1. At some time, they are aligned, as seen in (a), making a straight line with the star. Five years later, planet X has rotated through 86.4?, as seen in (b). By what angle has planet Y rotated through during this time? Conical motion 9. Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle ? of 27o with respect to the vertical, maintaining the same height throughout its motion. If the mass of the pendulum M is 8.4 kg, and the length of the string L is 2.1 m, what is the speed (in m/s) of the mass as it swings? serway_P08-01 10.) If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 41 N*m, what minimum force must be exerted by the mechanic at the end of a 36-cm lug wrench to accomplish the task? serway_P07-02.problem (3 parts) 11.) A wheel has a radius of 3.9 m. How far (path length) does a point on the circumference travel if the wheel is rotated through angles of : a.)31?? b.)31 radians? c.)31 revolutions? serway_P07-09.problem (2 parts) 12.)The diameters of the main rotor and tail rotor of a single-engine helicopter are 14 m and 2.12 m, respectively. The respective rotational speeds are 410 rev/min and 4170 rev/min. a.)What is the speed of the tip of the large rotor? Give answer as a fraction of the speed of sound, vsound=343 m/s. b.)What is the speed of the tip of the small rotor? Give answer as a fraction of the speed of sound, vsound=343 m/s. serway_P07-30.problem (3 parts) 13.) During a solar eclipse, the Moon, Earth, and Sun all lie on the same line, with the Moon between Earth and the Sun. DATA: Msun=1.991?1030 kg, Mearth=5.98?1024 kg, Mmoon=7.36?1022 kg. Dearth?sun=1.496?1011 m, Dearth?moon=3.840?108 m. a.)What force is exerted by Earth on the Moon? b.)What force is exerted by the Sun on Earth? c.)What force is exerted by the Sun on the Moon? serway_P07-39.problem (3 parts) 14.) A satellite of mass 190 kg is launched from a site on the Equator into a circular orbit at 3000 km above Earth's surface. DATA: Rearth=6.38?106 m. a.)What is the acceleration of gravity at this altitude? b.)What is the speed of the satellite? c.)What is the period of the orbit Tire on a balancing machine 15.) A tire placed on a balancing machine in a service station starts from rest and turns through 12.9 revolutions in 6.48 s before reaching its final angular speed. Calculate its angular acceleration. serway_P08-04.problem (3 parts) 16. As part of a physical therapy program following a knee operation, a 11.5-kg object is attached to an ankle and leg lifts are done as sketched in the figure above. a.)What is the torque exerted by the knee when the weight is a the 30-degree angle shown above? b.)What is the torque exerted by the knee when the weight is a the 60-degree angle shown above? c.)What is the torque exerted by the knee when the weight is a the 90-degree angle shown above?,thank you,Thank you so much!! I was able to access the first set 5 but I did not see set 6 which I needed help with aswell?!
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