a mass of m = 20 kg was dropped onto the Earth. Assuming that the force of air resistance to the movement of the load varies in proportion to the speed, determine after what time interval Δt the acceleration of the movement of the load will be equal to one third of the acceleration of gravity. (Coefficient of resistance to movement k = 10 kg / s).

a mass of m = 20 kg was dropped onto the Earth. Assuming that the force of air resistance to the movement of the load varies in proportion to the speed, determine after what time interval Δt the acceleration of the movement of the load will be equal to one third of the acceleration of gravity. (Coefficient of resistance to movement k = 10 kg / s).

Name: From a great height, a mass of m = 20 kg was dropped onto the Earth. A
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: From a great height, a mass of m = 20 kg was dropped onto the Earth. Assuming that the force of air resistance to the movement of the load varies in proportion to the speed, determine after what time interval Δt the acceleration of the movement of th

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 61P

See similar textbooks

Similar questions

Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,
An object of mass m is projected with initial velocity v0 at an angle of θ degrees to thehorizontal. Assuming that the surrounding air offers resistance kv to motion, where v isthe velocity of the object. Discuss the motion of the object in terms of maximum height,maximum horizontal distance. With appropriate choice of parameters(θ, v0, k and m) plotx + y as a function of time where x and y are horizontal displacement from the origin and theheight of the object at time t respectively
An object of mass m is initially at rest. After a force of magnitude F acts on it for a time T, the object has a speed v. Suppose themass of the object is doubled, and the magnitude of the force acting on it is quadrupled. In terms of T, how much time does it takefor the object to accelerate from rest to a speed v now?
A 65-kg skydiver jumps out of an airplane and falls 320 m, reaching a maximum speed of 69 m/s before opening her parachute. Assuming the force of air resistance is constant, what is the magnitude of the force of air resistance, in newtons, on her?
A dated box of dates, of mass 5.00 kg, is sent sliding up a frictionless ramp at an angle of to the horizontal as a function of time t, the component vx of the box’s velocity along an x axis that extends directly up the ramp.What is the magnitude of the normal force on the box from the ramp?
The coefficient of static friction between block A and a horizontal floor is 0.470, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00 kg, and they are connected together by a cord. If the horizonta force F pulling on block B slowly increased, in a direction parallel to the connecting cord, until the blocks start sliding, what is the magnitude of F at the instant that they start to slide?
Find the law of motion of a body acted upon by a constant force F if at time the body is at rest at the origin x=0
An inclined plane makes an angle of 30o with the horizontal. Neglecting friction forces, find the constant force, applied parallel to the plane, required to cause a 15-kg box to speed up, moving up the plane with acceleration 1.2 m/s2 and down the incline with acceleration 1.2 m /s2?
A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg – kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places.
A dog and a sledge are on the frictionless ice of a frozen lake, 14.4 m apart but connected by a rope of negligible mass. The dog exerts a certain horizontal force (N) on the rope. If magnitudes of the sledge and the dog accelerations are 0.5 m/s² and 0.1 m/s?, respectively. How far from the dog's initial position (m) do they meet?
Second Law of Newton states that when there is a net force acting on a body, the body would accelerate in the same direction as the net force with a magnitude that is
While driving down a road in your car that has a mass of 1300 kg, you notice that your speed is 25 m/s.After going a distance of 1.0 km, you notice your speed is then 27 m/s. What was the magnitude of the forceresponsible for the acceleration over that distance, assuming that the acceleration was constant?