1. Finding a Simple Mathematical Moadel, a- In this part, we should develop a mathematical model for a free-falling bungee jumper as shown in the picture depending on the rule of Dependent variable=f(indpendent variable, parameter variable, forcing function) some notes may help you to finish this example: Two forces are applied on the body. One is downward pull of gravity (mg). Another one is upward force air resistance (-cv²). Upward force due to air resistance The total force is a combination of two forces dv. and given by (F=m dt b- After finding the model, solve it because of being as a differential equation. c- A bungee jumper has a mass of 55kg, calculate velocity Downward force due for first 12 seconds. Use a drag coeffieicnt of 0.25kg/m. to gravity

1. Finding a Simple Mathematical Moadel, a- In this part, we should develop a mathematical model for a free-falling bungee jumper as shown in the picture depending on the rule of Dependent variable=f(indpendent variable, parameter variable, forcing function) some notes may help you to finish this example: Two forces are applied on the body. One is downward pull of gravity (mg). Another one is upward force air resistance (-cv²). Upward force due to air resistance The total force is a combination of two forces dv. and given by (F=m dt b- After finding the model, solve it because of being as a differential equation. c- A bungee jumper has a mass of 55kg, calculate velocity Downward force due for first 12 seconds. Use a drag coeffieicnt of 0.25kg/m. to gravity

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 27P: Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass...

See similar textbooks

Similar questions

A 15-kg sled is pulled across a horizontal, snow-covered surface by a force appiled to a rope at 30 degrees with the horizontal. The coefficient of kinetic friction between the sled and the snow is 0.20. (a) If the force Is 33 N, what is the horizontal acceleration of the sled? (b) What must the force be in order to pull the sled at constant velocity?
Consider the baby being weighed in the following figure. (a) What is the mass of the infant and basket if a scale reading of 55 N is observed? (b) What is tension T1in the cord attaching the baby to the scale? (c) What is tension T2, In the cord attaching the scale to the ceiling, If the scale has a mass of 0.500 kg? (d) Sketch the situation, indicating the system of interest used to solve each part. The masses of the cords are negligible.
Check Your Understanding (a) Draw the free-body diagram for the situation shown. (b) Redraw it showing components; use x -axes parallel to the two ramps.
(a) Give an example of different net external forces acting on the same system to produce different accelerations. (b) Give an example of the same net external force acting on systems of different masses, producing different accelerations. (c) What law accurately describes both effects? State it in words and as an equation.
Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses, and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted, and an astronaut’s acceleration is measured to be 0.893m/s2 . (a) Calculate her mass. (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the system (astronaut and spaceship) that would be measured by a nearby observer. (c) Discuss how this would affect the measurement of the astronaut’s acceleration. Propose a method by which recoil of the vehicle is avoided.
A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance, FD , is given by the formula FD=bv , where bis a constant and vis the velocity. If b=0.750 , and the mass of the skydiver is 82.0 kg, first set up differential equations for the velocity and the position, and then find: (a) the speed of the skydiver when the parachute opens, (b) the distance fallen before the parachute opens, (c) the terminal velocity after the parachute opens (find the limiting velocity), and (d) the time the skydiver is in the air after the parachute opens.
Suppose Kevin, a 60.0-kg gymnast, climbs a rope. (a) What Is the tension in the rope if he climbs at a constant speed? (b) What is the tension in the rope if he accelerates upward at a rate of 1.50m/s2 ?
Make force diagrams for the following situations. Draw & label forces as arrows with appropriate length. 1. A car propelled by a 250N force with air drag of 125 N/(m/s) at winds of 1 &2 m/s (2 diagrams).
1. Each of the following blocks are being pulled or pushed on a frictionless surface. For each block.. Draw a complete free body diagram in the space provided (don't forget any forces) b. Use geometric vector addition to draw the net force vector а. Calculate the net force in each direction (clearly label your directions) d. Using Newton's second dlaw find the acceleration along the surface. с. 10N 5kg 8N 6N 4kg 占- 8N 5N 10N 20kg 20kg 5N
ACTIVITY 2: SOLVE THESE PROBLEMS FOR ME Direction: Answer the following problems. Write the given, what is required, sketch of the given, free-body diagram and the solution. 1. Art pushes a 35 kg box across a wooden surface whose coefficient of static friction force is 0.50. How much force is needed to start the motion? Given: Required: m = 35 kg. v = 0.00 m/s µs FP = 0.50 shutterstock.com- 398746132 FP = fs. FW = n n = mg = 35 kg x 9.8 m/s? %3D = 343 N f; = Hsn = 0.50 x 343 N = 171.5 N Fp = f; = 171.5 N
VI. Does kinetic friction depend on the normal force? 21. Make a prediction. If normal force increases, does the kinetic friction increase, decrease, or stay the same? Give a reason r your prediction. 22. Use the Larger Area. Place the larger area of the block on the track. Record the hanging mass in the data table. Add a 500g rectangular block on top of the wood block. Change the hanging mass to 500g 23. Run the Experiment. Hang the 500g mass over the pulley. Repeat the experiment as before. 24. Change the Normal Force. Add a second 500g rectangular block on top of the block. Record the total mass in the data table. Perform the experiment again. 25. Change the Normal Force Again. Repeat the experiment by adding another 500g rectangular block on top of the block. Record the total mass. If the block does not move at all or stops after moving a short distance, add more mass to the hanging mass. Normal Force Dependence Total Block Hanging Mass Normal Force n = Mg (N) Mass Acceleration…
Draw the complete free body diagram of a a 1000.0 kg block being pushed forward 10.0 N by a penguin, pushed backwards by Mr. Universe with 200.0 N, and an elephant pushing it forward with 410.0 N of force. Calculate the acceleration that this block experiences, and in what direction does it move. How much frictional force and in what direction must it be applied such that the block undergoes static equilibrium? plz show work so I can understand