A man with a parachute jumps at a great height from an airplane moving horizontally. After 10 seconds, he opens his parachute. Find his velocity at the end of 15 seconds and his terminal velocity (i.e., the approximate velocity with which he will float to the ground). Assume that the combined weight of man and parachute is 160 pounds, and the force of the air resistance is proportional to the first power of the velocity, equaling 4v when the parachute is closed and 10v when it is opened

A man with a parachute jumps at a great height from an airplane moving horizontally. After 10 seconds, he opens his parachute. Find his velocity at the end of 15 seconds and his terminal velocity (i.e., the approximate velocity with which he will float to the ground). Assume that the combined weight of man and parachute is 160 pounds, and the force of the air resistance is proportional to the first power of the velocity, equaling 4v when the parachute is closed and 10v when it is opened

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A pumpkin of mass 5 kg shot out of a student-made cannon under air pressure at an elevation angle of…

A: To determine the value of (k) for the air resistive force (F=−kmv), we need to account for the…

Q: A courier is delivering a 5 kg package to an office high in a tall building. (a) What upwards…

Q: A trucks brakes fail while driving down a hill at a speed of 92 km/hr at the emergency ramp shown.…

A: Given: speed of truck= 92km/hr= 25.5555m/s mass of truck is 'M' kinetic energy of truck = 1/2 *M*V2=…

Q: On a frictionless canvas a 5.5 kg block can slide along the x-axis and is subjected to a force of 80…

Q: o that Fair = c v, c

Q: An F-18 with a weight of 22500 lb lands on a carrier with a speed of 120mph. If the run-out of the…

A: Acceleration from kinematic relation

Q: A skydiver jumps from an airplane where the resistance he encountered is proportional to its…

A: Altitude of the skydiver at the moment he opens his parachute. Given, First limiting velocityv1=10…

Q: An object of mass 12 kg is pulled up a smooth slope, inclined at 45◦ to the horizontal, by a string…

A: Given data The mass of the object is given as m = 12 kg. The angle of inclination is given as…

Q: If air resistance is proportional to the square of the instantaneous velocity, then the velocity v…

Q: An express train passes through a station. It enters with an initial velocity of 22.6 m/s and…

A: Given, initial velocity = 22.6 m/s a = -0.16 m/s2 length of station = 211 m

Q: If the magnitude of the net force acting on the particle is F, how long does it take the particle to…

Q: A particle leaves the origin with an initial velocity i = (4.88i) m/s and a constant acceleration á…

Q: A 1060 kg artillery shell is fired from a battleship. While it is in the barrel of the gun, it…

A: Given data: Mass (m) = 1060 kg Acceleration (a) = 2.1 × 104 m/s2

Q: 30. For the graphs of g versus m shown below. (A) (B) (D) m m (C) "KK m (E) m m Which graph best…

Q: A ball is thrown upwards at an angle of 40.00 degrees, at a velocity of 35.00 m/s. What is its time…

A: Given data: The angle θ=40° The velocity is u=35 m/s

Q: The mass of an object is 25 kg. Its acceleration is ( 3 ı ^ + 5 ȷ ^ + 7 k ^ ) m/s2. Calculate the…

A: The equation for the force is given as The vector form of force can be obtained as

Q: An object of mass 10kg is released from rest 3000m above the ground and allowed to fall under the…

A: The mass of the object is The distance from which the object released is The proportionality…

Q: a paratrooper survived a training jump from 1200 ft when his parachute failed to open but provided…

A: We may use the equations of motion for an item falling under the influence of air resistance to get…

Q: An object of mass 5 kg is given an initial downward velocity of 50 m/sec and then allowed to fall…

A: The mass of the object: The initial downward velocity: The force due to air resistance: The initial…

Q: A body of mass m is attracted toward a 11.1 kg mass, 31.5 cm away, with a force of magnitude 6.60…

Q: It takes 2.10 s for a small ball with a mass of 0.080 kg released from rest from a tall building to…

Q: 2. A particle moves along x-axis under the force proportional to the difference V (t)-V". If V"=5 m/…

A: Given data: The initial velocity is V0=10 m/s. The velocity after t=1 sec is V=25 m/s.

Q: A particle of mass 1.05 kg is subject to a force that is always pointed towards the East but whose…

A: Given values:Mass of particle, m = 1.05 kgForce, F = 4t Newton

Q: A 1500 kg car was moving +31 "½ (E) in the S exit lane, but 7.0 s later only +10 m/ (E) at the S…

A: Given that Initial velocity of the car u = +31 m/s along East Final velocity of the car after t =…

Q: A feather falls at constant velocity a vertical distance of 123.8 m. If the mass of the feather is…

A: Given: Mass of the feather ,m=39.04g velocity is constant Distance =d=123.8m The work done by…

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

A man with a parachute jumps at a great height from an airplane moving
horizontally. After 10 seconds, he opens his parachute. Find his velocity
at the end of 15 seconds and his terminal velocity (i.e., the approximate
velocity with which he will float to the ground). Assume that the
combined weight of man and parachute is 160 pounds, and the force of
the air resistance is proportional to the first power of the velocity,
equaling 4v when the parachute is closed and 10v when it is opened

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A small boat is being pushed up a ramp into the back of a flatbed truck. The boat is sitting at the top of the ramp, which is located 1.4 m above the ground. The boaters think the boat is safe there, and begin to walkaway. However, they have neglected the thin layer of ice that has formed on the ramp, which is angled at 30◦ up from the ground. Neglecting the friction between the boat and the ramp, how long do the boaters havebefore the boat reaches the bottom of the ramp?
A car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…
A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by ✓ = 1.10î - 9.80tĵ, with v in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by Ar = Jo Ar = 0.395 Use this theorem to perform the integration: v dt. [ [ P + Qf(x)] dx = p[ dx + Q f f(x) dx. P[ Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) m
A projectile is thrown upward from the ground at 76.0° with the horizontal and returns to the ground 2.5 s later. Ignoring air friction (a) How fast was it thrown? (b) How far from its original position did it land? (c) How high above its original position did it go?
A 547g squirrel with a frontal surface area of 0.0145m2 falls to the ground from a 5.3m tree. Assume the density of air is 1.21kg/m3. Neglecting the drag force, what is the velocity, in meters per second, of a 56kg person after falling, from rest, by that same distance?
A plane has a mass of M = 201 tons takes-off at a speed of Vf = 243 km/hr. If it starts form rest, what should be the minimum acceleration to take off if the length of the runway is L = 1.7 km
Which of the following differential equations is the correct model if up is the positive direction? Consider an object of mass m that was thrown upwards and the magnitude of the force due to air resistance is 2v where v is the speed of the object in meters per second. pick (1) mv′=−mg−2v mv′=−mg+2v mv′=mg+2v mv′=mg−2v
*12-116. The automobile is originally at rest s = 0. If it then starts to increase its speed at v = (0.05t²) ft/s² , where t is in seconds, de- termine the magnitudes of its velocity and acceleration at s = 550ft.
A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After the parachute is deployed, the air resistance force is proportional to the velocity squared, i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear have a total mass of m. (a) Show that k = mg/V; (b) Develop a relation for the soldier's velocity after he opens the parachute at time 1 = 0. Parachute Figure Q5
A bicyclist can coast down a 6.17 degree hill at a constant speed of 6.64 km/h. If the force of air resistance is proportional to the speed vso that Fair = c v, calculate the average force (in N) that must be applied in order to descend the hill at 13.0 km/h. The mass of the cyclist plus bicycle is 77.8 kg.