Be sure tо shоw yоur work cleаrly аnd the equаtions you are using to solve each problem. All final answers should have the proper number of significant figures and include appropriate units. All problems are worth 12 pts. 21) A father pulls his three children on a toboggan with a rope that makes a 35 degree angle with the horizontal. He pulls with a force of The toboggan has a mass of 5.5 kg and the three children have masses of 12.0 kg, 15.0 kg and 20.0 kg respectively. The acceleration of the toboggan and children are 2.20 m/s2 due to the father pulling with a force of 185 N. What is the coefficient of friction between the toboggan and the snow? 22) A child receives a 15.0 g popping toy in their goody bag from a birthday party. It has a spring with a spring constant of 35.0 N/m. a) If the child pushes the toy down to the table 4.0 cm and releases it so it goes straight up, how high does the toy rise off the table? ( assume no air resistance) b) What is the velocity of the popper at the top of the path? 23) A 32.0 kg child starts at rest and slides down a 6.5 m long plastic slide that makes a 30.0 degree angle with the horizontal. The coefficient of kinetic friction is 0.50 and there are no other drag forces present. a) Draw a pictorial diagram with values and free body diagram for the child. Include all forces including component forces. b) How much work is done by gravity? c) How much work is done by friction? d) What is the child's velocity at the bottom of the slide? (Assume the end of the slide is on the ground) 24) A astronaut is on a space walk fixing a problem with the heat shield. While working the tether that holds him to the ship breaks. The astronaut, the space suit and oxygen tank have a mass of 95.0 kg. The astronaut realizes that his only chance of getting back to the ship is to throw the 10.0 kg oxygen tank away from the ship. Assume the astronaut and tank are at rest initially relative to the ship and the astronaut is able to throw the tank with a velocity of 11.0 m/s away from the ship. a. What is the distance the astronaut can travel in the 2.00 minutes he can survive without oxygen? b. What law explains why this will work? c. Draw a pictorial diagram of the scenario with labels. d. What is the velocity of the astronaut after they throw their tank? 25) A student swings a stopper attached to a string in a horizontal circle above their head. The stopper has a mass of 22.52 g and the string has a length of 42.0 cm. The stopper starts at rest and reaches a rate of rotation of 95 rev/min in 25 s. a) Draw a pictorial diagram with values labeled and name of the force that causes the stopper to move in a horizontal circle? b) What is the angular velocity? c) What is the centripetal acceleration? d) What is the centripetal force?
17. Which symptоm wоuld the nurse expect when аssessing аn аdоlescent client with cyclothymic disorder?