Momo with mass m is sliding down an inclined plane that makes an angle o relative to the horizontal. The coefficient o kinetic friction between Momo and the inclined plane is uk- Obtain an expression for Momo's acceleration along the incline. Assign a rotated Cartesian plane so that the acceleration is along the positive x-axis and the normal force is along the positive y-axis. The component of the weight parallel to Momo's acceleration is wx = mg The magnitude of the frictional force is f= Hk The normal force on Momo is n = mg With these expressions and applying Newton's second law, we arrive at an expression for Momo's acceleration: a = - Pk

Momo with mass m is sliding down an inclined plane that makes an angle o relative to the horizontal. The coefficient o kinetic friction between Momo and the inclined plane is uk- Obtain an expression for Momo's acceleration along the incline. Assign a rotated Cartesian plane so that the acceleration is along the positive x-axis and the normal force is along the positive y-axis. The component of the weight parallel to Momo's acceleration is wx = mg The magnitude of the frictional force is f= Hk The normal force on Momo is n = mg With these expressions and applying Newton's second law, we arrive at an expression for Momo's acceleration: a = - Pk

Name: Momo with mass m is sliding down an inclined plane that makes an angl
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Momo with mass m is sliding down an inclined plane that makes an angle O relative to the horizontal. The coefficient ofkinetic friction between Momo and the inclined plane is Hk: Obtain an expression for Momo's acceleration along theincline.Assign a

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 64P: If a single constant force acts on an object that moves on a straight line, the objects velocity is...

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?
If a single constant force acts on an object that moves on a straight line, the objects velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi kx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.
A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
(a) Find an equation to determine the magnitude of the net force required to stop a car of mass m, given that the initial speed of the car is v0 and the stopping distance is x . (b) Find the magnitude of the net force if the mass of the car is 1050 kg, the initial speed is 40.0 km/h, and the stopping distance is 25.0 m.
A 2.5 kg block is placed on a rough plane inclined 40° with the horizontal. Coefficient of static friction andkinetic friction are 0.41 and 0.32, respectively. (a) What force applied parallel to the plane is needed to keepthe block in impending motion down the plane? Should this force be applied up or down the plane? (b)What force applied parallel to the plane is needed to keep the block moving down the plane with constantspeed? Should this force be applied parallel up or down the plane?
In Fig, a block of mass m =5.00 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F =12.0 N at an angle θ=25deg. (a) What is the magnitude of the block’s acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block’s acceleration just before it is lifted (completely) off the floor?
A block with a mass of m = 46 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 10.5 N. The second has a magnitude of F2 = 23.5 N and acts on the body at an angle θ = 23° measured from horizontal, as shown. a) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b)Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. c)Find the block's acceleration in the x-direction, ax, in meters per second squared.
A block with a mass of m = 16 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 8.5 N. The second has a magnitude of F2 = 19.5 N and acts on the body at an angle θ = 11° measured from horizontal, as shown. a.) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b.) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. c.) Find the block's acceleration in the x-direction, ax, in meters per second squared.
s shown, the mass of block 1 is m1 = 4.0 kg and the mass ofblock 2 is m2 = 8.0 kg. Block 1 sits on an incline with an angle of37º. The coefficient of kinetic friction between m1 and the inclinedsurface is μk = 0.40. (a) What is the minimum coefficient of staticfriction if the system is to remain at rest? b) Assuming that μs isless than this value, what is the acceleration of the system?
A mass with a m mass is being pulled along a horizontal rope with a constant tension T at angle theta above the horizontal. If the coefficent of kinetic friction is μk, what is the acceleration a of the mass?
A particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the expression for the external net force F(t) being applied to the particle? Note: i and j are unit vectors
A block is being pulled by a rope up the surface of an inclined plane at constant velocity. Which of the following is true of the tension in the rope T, the force due to friction Ff, and the component of the block’s weight parallel to the plane wp?