8:53 AM Fri Apr 21 100% C T O + O C070 Newton's 2nd Law Problems Mar 31, 2023 at 9:26 AM C070 Newton's 2nd Law Problems 1. An African elephant can have a mass of 6000.0 kg and can reach a top speed of 11.11 m/s in about 3.5649 s. How much force does it have to apply to reach that speed from rest? 2. The rising concern among athletic trainers and health advocates (and parents) regarding concussions and multiple concussions among high school football players has prompted numerous studies of the effectiveness of protective head gear and the forces and accelerations experienced by players. One study suggested that there is a 50% chance of concussions for mpacts rated at 75 g's of acceleration (i.e., 75 multiplied by 9.81 m/s2). If the mass of an average player's head with helmet is 6:02 kg and can be considered a free body, then what net force is needed to produce an acceleration of 75 g's? Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on a rocket sled of his own design, known as the Gee Whiz. What net force would be required to accelerate the 82.44 kg Stapp at 450.0 m/s2 (the highest acceleration tested by Stapp)? Sophia, whose mass is 51.67 kg, experienced a net force of 1811 N at the bottom of a roller coaster loop during her school's physics field trip to the local amusement park. Determine Sophia's acceleration at this location. 5. The "Top Thrill Dragster Stratacoaster" at Cedar Point Amusement Park in Ohio accelerates riders from rest to 53.444 m/s in 3.854 s. Determine the net force needed to accelerate an 86 65 kg person. 10.20 s Determine the net force needed to accelerate a 542.4 kg ultralight car from rest to 27.00 m/s in 7. Determine the net force needed to accelerate a 2160.1 kg Ford Expedition from rest to 27.00 m/s in 10.20 s. = 60 5 N 8. Ethan is dragging a bag of grass from the garage to the street on the evening before garbage pick-up = 57 N = 40 2 N FBD at the rig ows the forces a upon the bag. What is net force on the bag and what is its acceleration? = 60 5 N 9. A shipment of physics supplies is placed in a freight elevator for transport to the third floor. If the forces acting on the freight elevator as it begins to rise include an upward force of 2340.0 N applied by the elevator cable and the force of gravity of 2120.5 N what is the net force, the mass and the acceleration of the elevator? Yeah X 10. It's Friday night and Skyler has been assigned the noble task of baby-sitting Casey, his 2-year old brother. He puts a crash helmet on Casey, places him in a red wagon and takes him on a stroll through the neighborhood. As Skyler starts across the street, he exerts a 52.8 N forward force on the wagon. There is a 24.1 N resistance force and the wagon and Casey have a combined weight of 304.8 N. Draw a free body diagram of the forces acting on the wagon and determine the net force , mass and acceleration of the wagon . 11. After a lead-off single in the 8th inning, Earl tries to steal second base. As he hits the dirt on his head-first dive, his 73.2 kg body encounters 249.0 N of friction force. Draw a free body diagram of the forces acting upon Earl and determine the net force and acceleration. 12. Mira and Tariq are lab partners for the Pulley and Bricks Lab. They have determined that the 2. 15 kg brick is experiencing a forv pull of 9.54 N and a friction force of 8.69 N as it is accelerated across the table. Determine the net force and acceleration of the brick. 13. Moments after making the decision to jump out the door of the airplane, Darin's 82.5 kg body experiences 118.3 N of air resistance. Determine Darin's acceleration at this instant in time. 14. Kelli and Jarvis are members of the stage crew for the Variety Show. Between acts, they must quickly move a Baby Grand Piano onto stage. After the curtain closes, they exert a sudden forward force of 524.0 N to budge the piano from rest and get it up to speed. The 158.0 kg piano experiences 418.0 N of friction. What is the piano's acceleration? 15. If Kelli and Jarvis maintain this forward force for 1.44 seconds, then what speed will the piano have? 16. Skydiving tunnels have become popular attractions, appealing in part to those who would like a taste of the skydiving experience but are too overwhelmed by the fear of jumping out of a plane at several thousand feet. Skydiving tunnels are vertical wind tunnels through which air is blown at high speeds, allowing visitors to experience bodyflight. On Natalya's first adventure inside the tunnel , she changes her orientation and for an instant, her 46.8 kg body momentarily experiences an upward force of air resistance of 521.5 N. Determine Natalya's acceleration. 17. A rope is used to pull a 2.89 kg bucket of water out of a deep well. What is the acceleration of the bucket if the tension in the rope is 30.2 N? 18. If starting from rest, what speed will the bucket have after experiencing this force for 2.16 seconds? 19. A 0.104 kg model rocket accelerates at 45.9 m/$2 on takeoff. Determine the upward force applied by the rocket engine. 20. Brandon is the catcher for the Varsity baseball team. He exerts a forward force on the 0.145 kg st from a speed of 38.2 m/s. If his hand recoils 0.135 m, what is the baseball to bring it to rest from a speed of 38.2 acceleration of the ball and the force applied by Brandon? 21. Nicholas, Brianna, Dylan and Chloe are practicing their hockey on frozen Bluebird Lake. As Dylan and Chloe chase after the 0.162 kg puck, it decelerates from 10.5 m/s to 8.80 m/s in 14.51 s. What is the acceleration of the puck and the force of friction on it? 22. The Harrier Jump Jet is a fixed wing military jet designed for vertical takeoff and landing (VTOL). It is can rotate its jets from horizontal to vertical and back so it can takeoff, land, hover and fly horizontally. What is the vertical force needed to accelerate an 8600.0 kg Harrier upward at 0.40 m/s2? (+