When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of uN, where u is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction p= 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec2.

When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of uN, where u is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction p= 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec2.

Name: When an object slides on a surface, it encounters a resistance force
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of uN,is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to theobject. Suppose 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 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 black widow spider hangs motionless from a web that extends vertically from the ceiling above. If the spider has a mass of 1.5 g, what is the tension in the web?
A woman uses a rope to pull a block of mass m across a level floor at a constant velocity. The coefficient of kinetic friction between the block and the floor is k. The rope makes an angle with the floor. Find an algebraic expression for the tension in the rope in terms of the parameters listed in the problem and any constants.
A sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The magnitude of the normal force exerted by the snow-covered ground on the sleigh is 6.37 103 N. a. If the coefficient of kinetic friction between the sleigh and the ground is 0.23, what is the magnitude of the kinetic friction force experienced by the sleigh? b. If the only other horizontal force exerted on the sleigh is due to the horses pulling the sleigh, what must be the magnitude of this force?
When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 30° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec². Determine the equation of motion for the object as it slides down the plane. x(t) = ... 30° mg sin 30° mg AN mg cos 30° x(0) = 0
When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 50 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 0.1. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 7 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec². Determine the equation of motion for the object as it slides down the plane. x(t) = mg sin 60° شت 60° N mg x(t) -KAN x(0) = 0 mg cos 60°
An airplane in flight is subject to an air resistance force proportional to the square of its speed v. But there is an additional resistive force because the airplane has wings. Air flowing over the wings is pushed down and slightly forward, so from Newton’s third law the air exerts a force on the wings and airplane that is up and slightly backward. The upward force is the lift force that keeps the airplane aloft, and the backward force is called induced drag. At flying speeds, induced drag is inversely proportional to v 2 , so that the total air resistance force can be expressed by Fair = av2 + b/v2 where a and b are positive constants that depend on the shape and size of the airplane and the density of the air. For a Cessna 150, a small single-engine airplane, a = 0.30 N.s2 /m2 and b = 3.5×105 N.m2 /s 2 . In steady flight, the engine must provide a forward force that exactly balances the air resistance force. 1. Calculate the speed (in km/h) at which this airplane will have the…
A 10-kg mass is launched vertically upward from Earth's surface with an initial velocity of vo m/s. The only force acting on the mass are gravity and atmospheric resistance proportional to the square of the speed. Assuming that the atmospheric resistance is 8 N if the speed is 2 m/s, find the time required for the mass to reach maximum altitude
A person slides a bottle with mass 0.20 kg along a level table. It leaves his hand at 2.8 m/s and comes to a halt after going 1.0 m. Find the coefficient of kinetic friction between the bottle and the table.
A 1000 kg boat is traveling at 90 km/h when its engine is shut off. The magnitude of the frictional force between boat and water is proportional to the speed v of the boat: fk 70v, where v is in meters per second and fk is in newtons. Find the time required for the boat to slow to 45 km/h.
A 5 kg box sits at rest at the bottom of a ramp that is 8 m long and that is inclined at 30° above the horizontal. Thecoefficient of kinetic friction is 0.40 and the coefficient of static friction is 0.50. What constant force, appliedparallel to the surface of the ramp is required to push the box to the top of the ramp in a time of 4 s?
A 5Kg box is being pulled up an inclined 20° slope, the coefficient of kinetic friction µk is 0.3. It is being pulled by a rope that exerts a 20N force and that force makes an angle of 30° upward with respect to the slope. Calculate the acceleration of the box. T=20N 30° m=5Kg H=0.3 20°