Question

In: Physics

A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 4000 ft...

A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.75|v| when the parachute is closed and is of magnitude 10|v| when the parachute is open, where the velocity v is measured in ft/s. (A computer algebra system is recommended. Use g = 32 ft/s2 for the acceleration due to gravity. Round your answers to two decimal places.)

(a) Find the speed of the skydiver when the parachute opens.

(b) Find the distance fallen before the parachute opens.

(c) What is the limiting velocity vL after the parachute opens?

(d) Determine how long the sky diver is in the air after the parachute opens.

e) Plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

Solutions

Expert Solution

genius_generous answered 1 year ago
Next > < Previous

Related Solutions

A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 4000 ft...
A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.75|v| when the parachute is closed and is of magnitude 10|v| when the parachute is open, where the velocity v is measured in ft/s. (A computer algebra system is recommended. Use g = 32 ft/s2 for the...
A bullet weighing 0.1 lb is fired vertically downward from a stationary helicopter with a muzzle...
A bullet weighing 0.1 lb is fired vertically downward from a stationary helicopter with a muzzle velocity of 1200 ft/sec. The air resistance (in lbs) is numerically equal to 16-5v2, where v is the velocity of the bullet in ft/sec. a)If the helicopter is 3,000 ft high, how long does it take for the bullet to hit the ground?
A body weighing 2 pounds forces hangs from a spring with constant 4 lb / ft....
A body weighing 2 pounds forces hangs from a spring with constant 4 lb / ft. The medium in which the body moves offers a resistance force to movement that is numerically equal to its instantaneous speed. If the weight is released 1/3 feet above its balance position with a downward speed of 9 feet per second, determine the speed at which time it passes through the balance position. Consider negative downward and positive upward magnitudes.
8. A Piper Cherokee is flying at 4000 ft standard altitude at 105 mph. The wing...
8. A Piper Cherokee is flying at 4000 ft standard altitude at 105 mph. The wing has a rectangular planform (shape) with a span of 30 ft and a chord of 5.33 ft. Assuming that the turbulent boundary layer grows as on a smooth plate and a completely turbulent boundary layer flow, determine: (a) The boundary layer thickness at the downstream edge of the wing. (b) The total skin friction drag coefficient of the wing. (c) The total skin friction...
A body weighing 10 pounds forces hangs from a spring with constant 4/5 lb / ft....
A body weighing 10 pounds forces hangs from a spring with constant 4/5 lb / ft. The medium where the body moves it offers a resistance force to movement that is numerically equal to its instantaneous speed. If the weight is released 5/3 feet above your balance position with a downward speed of 6 feet per second, determine the position the lower the object reaches. Consider negative downward and positive upward magnitudes
A body weighing 128 pounds hangs from a spring with constant 1400 lb/ft. The medium, where...
A body weighing 128 pounds hangs from a spring with constant 1400 lb/ft. The medium, where the body moves, offers a force of opposition to the movement numerically equal to 15 for its instantaneous speed. If the weight is released 2 feet above its balance position, say how fast it should be initially pushed so that after 6 seconds it reaches the lower limit position. Take the constant of gravity as 32 ft/sec^2.
A 180-lb person jumps out of an airplane with initial upward velocity of 5 ft/s at...
A 180-lb person jumps out of an airplane with initial upward velocity of 5 ft/s at a height of 3000 ft (assuming the air resistance is proportional to its falling speed). The air resists the body's motion with a force of 2 lb for each ft/s of speed. Assuming the constant gravity is 32 ft/s^2 (1) find its velocity v = v(t) (2) find its terminal velocity (3) find the distance of falling x = x(t) (4) find the duration...
When a drop of water falls into a reservoir of water from a high enough altitude,...
When a drop of water falls into a reservoir of water from a high enough altitude, water droplets will splash Does the water in those droplets come from the original drop or from the reservoir?
A mass weighing 8 lb is attached to a spring hanging from the ceiling, and comes...
A mass weighing 8 lb is attached to a spring hanging from the ceiling, and comes to rest at its equilibrium position. The spring constant is 4 lb/ft and there is no damping. A. How far (in feet) does the mass stretch the spring from its natural length? L=   B. What is the resonance frequency for the system? ω0=   C. At time t=0 seconds, an external force F(t)=3cos(ω0t) is applied to the system (where ω0 is the resonance frequency from...
A ball is thrown vertically upward from a height of 5 ft with an initial velocity...
A ball is thrown vertically upward from a height of 5 ft with an initial velocity of 40 feet per second. Note that the acceleration of the ball is given by a(t) = −32 m/s2. How high will the ball go? When does the ball hit the ground? What is the velocity of the ball when it hits the ground?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT