A wooden ball of weight 95 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 6v due to air resistance, where v is the velocity of the ball at time t (in seconds). What is the limiting velocity of the ball? 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. (Write the value only, no need for units).

A wooden ball of weight 95 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 6v due to air resistance, where v is the velocity of the ball at time t (in seconds). What is the limiting velocity of the ball? 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. (Write the value only, no need for units).

Name: A wooden ball of weight 95 newtons is dropped vertically from a height
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: A wooden ball of weight 95 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 6v due to air resistance, where v is the velocity of the ball at time t (in seconds). What is the

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

See similar textbooks

Similar questions

If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?
Two blocks of mass 3.50 kg and 8.00 kg are connected by a massless string that passes over a frictionless pulley (Fig. P4.47). The inclines are frictionless. Find (a) the magnitude of the acceleration of each block and (b) the tension in the string. Figure P4.47
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 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. A 1.23 seconds B) 2.89 seconds C.3.25 seconds D.4.01 seconds E. 4.20 seconds F 5.00 seconds G.5.31 seconds H 6.20 seconds
a 2 kg golf ball moves along an x axis according to x(t) = 10t^3 - 2.80t^2 + 7.4t +15 , with x in meters and t in seconds . in unit-vector notation , what is the net force acting on the particle at t= 5.20 s?
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 particle of mass 3 kg is moving with constant velocity of magnitude 10 m/s for 20s. The magnitude of the resultant force acting on the particle is: B) 1.5N B) 3 N C) 6 N D) 0 N
the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?
What is the magnitude of the average force, in newtons, exerted on a 0.0295-kg bullet to accelerate it to a speed of 590 m/s in a time of 1.85 ms?
A 3.5 kg particle moves along an x axis according to x(t) = −12 + 5t2 − 4t3, with xin meters and t in seconds. In unit-vector notation, what is the net force acting on theparticle at t = 6 s?
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?
a 2.0 kg cookie tin is accelerated at 3.0 m/s^2 in the direction shown by over a frictionless horizontal surface. The acceleration is caused three horizontal forces, only two of which are shown: of magnitude 10 N and of. Magnitude 10 N. What is the third force in unit-vector notation and in magnitude angle notation?