1. A 60.0 kg skydiver is falling through the air (parachute opened). At one point, the acceleration of the skydiver is 4.60 m/s². a. Calculate the force of air friction at that moment. b. What will the force of friction be when the skydiver reaches terminal velocity?
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- 1. A 60.0 kg skydiver is falling through the air (parachute opened). At one point, the acceleration of the skydiver is 4.60 m/s². a. Calculate the force of air friction at that moment. b. What will the force of friction be when the skydiver reaches terminal velocity?A bullet is fired vertically downward into a uniform soil medium with an initial velocity of 50 m/s. Due to drag resistance of the uniform soil the bullet experiences a deceleration of a = -0.20 m/s2 . a. What is the bullet velocity in m/s 4 seconds after it is fired? b. What is the bullet position in meters 4 seconds after it is fired? c. What is the bullet velocity in m/s 2 seconds after it is fired, if the initial velocity is increase to 60 m/s? d. What is the bullet position in meters 2 seconds after it is fired, if the initial velocity is increase to 60 m/sA stuntman drives a car of mass 1125 kg east with a speed of 20 m/s. a. If the car accelerates at a rate of –2 m/s 2 , how long will it take the car to go 50 m? b. The stuntman drives the car off an 80 m cliff while going 15 m/s. How long will it take the car to land? c. How far horizontally from the cliff will the car land?
- If you throw a ball with an initial horizontal velocity of 20 m/s and an initial vertical velocity of 40 m/s. a. What will be the vertical displacement after 3 seconds? b. What will be the horizontal displacement after 3 seconds? c. What will be the vertical velocity after 3 seconds? d. What will be the horizontal velocity after 3 seconds?A cyclist is travelling at 21 km/h when she sees a stop sign ahead. She applies the brakes and comes to a stop in 15 m. The mass of the cyclist and the bike is 73 kg. a. Calculate the acceleration of the cyclist. b. Determine the coefficient of friction between the road and the bike tires.2. Some mice can survive a fall from any height; they do this flattening out their bodies to increase their cross sectional area which acts like a parachute. Model a 20 g mouse as a 4 cm x 9 cm rectangle with a drag coefficient of 1.1, and assume the density of air is 1.2 kg/m³. A. What is the terminal velocity of this mouse? B. Suppose the mouse is falling at 5 m/s. What would be its acceleration at this instant?
- C. a. 1. Alan (m = 50 kg) and Diego (m = 40 kg) are standing on a frictionless ice rink, facing each other, when Alan pushes Diego. Diego moves with an acceleration of 1 m/s². What is the magnitude of Alan's acceleration? a. .8 m/s² b. 1.0 m/s² c. 1.25 m/s² d. Cannot be determined 2. How much horizontal force must a girl apply to a 50 kg cabinet to accelerate it at .4 m/s² along a horizontal surface if there is a friction force of 70 N? b. 50 N e. 90 N 3. Students design an experiment to determine the relationship between mass and acceleration where a cannon fires varying masses. Motion sensors are used to measure the velocity of the cannon ball while it is in the cannon. A graph of one of the trials is shown to the right. The mass is then increased for the next trial while keeping everything else the same. What should the velocity vs. time graph look like for this next trial? The second trial is the dashed line. 120 100 80 60 40 20 0 0 120 100 80 60 40 20 a. 20 N d. 80 N D Velocity…1. A horizontal force of 95.0 N is applied to a 60.0 kg box on a rough, level surface. If the crate is accelerated at 1.20 m/s2, what is the magnitude of the kinetic frictional force on the crate? a. 8 N b. 33 N c. It cannot be determined why we do not have the coefficient of kinetic friction. d. 16 N e. 45 N f. 23 N 2. If a block slides down a frictionless incline, which of the following is true? a. speed increases and acceleration decreases b. speed and acceleration increases c. speed increases and acceleration remain constant d. its velocity increases and its acceleration decreases e. its velocity and acceleration remain constant.An astronaut weighing 236 lbs on Earth is on a mission to the Moon and Mars. a.What would he weigh in newtons when he is on the Moon? The acceleration due to gravity on the Moon is one-sixth that on Earth? b. How much would he weigh in newtons when he is on Mars, where the acceleration due to gravity is 0.38 times that on Earth? c. What is his mass in kilograms on Earth?
- A crate (100 kg) is in an elevator traveling downwards and slowing down at 6 m/s. Find the normal force exerted on the %3D crate by the elevator. Assume g = 10 m/s2. A. 1600 N B. 400 N C. 1000 N D. 400 N E. 600 NStarting from rest, an elevator weighing 9000 Newtons attains an upward velocity of 5 m/s in 4 seconds with uniform acceleration. a. Compute for the uniform acceleration. b. Compute the apparent weight of a man weighing 600 Newtons standing inside the elevator during the accent. c. Compute the tension in the supporting cable of the elevator.Consider dropping a baseball from rest at an altitude of 300 m. Assume that the baseball has a drag coefficient of 0.3, a mass of 0.145 kg, and a radius of 3.7 cm. a. What is the terminal speed vT of this baseball? b. Calculate the characteristic time tT = vT / |g|. c. Set up the Newton application to model this situation. Let's agree that the ball has essentially reached its terminal velocity when its acceleration falls below |g| / 20. About how long must the baseball fall to reach terminal velocity according to this criterion? Express your answer as a multiple of the characteristic time tT. (Hints: Equation N9.17 might be helpful as you set up the program. A time step of 0.1 seconds works pretty well.) Equation N9.17: az = -|g| * (1 - (vz2 / vT2))