Question

In: Physics

A block is placed on a plane inclined at 35 degrees relative to the horizontal. If...

A block is placed on a plane inclined at 35 degrees relative to the horizontal. If the bloc k slides down the plane with an acceleration of magnitude g/3, determine the coefficient of the kinetic friction between the block and plane.

Solutions

Expert Solution

Gravitational acceleration = g = 9.81 m/s2

Mass of the block = m

Angle of incline = = 35o

Acceleration of the block = a = g/3

Normal force on the block from the incline = N

Coefficient of kinetic friction between the block and plane =

Friction force on the block = f

From the free body diagram,

N = mgCos

f = N

f = mgCos

ma = mgSin - f

ma = mgSin - mgCos

a = gSin - gCos

g/3 = gSin - gCos

1/3 = Sin - Cos

1/3 = Sin(35) - Cos(35)

= 0.293

Coefficient of kinetic friction between the block and plane = 0.293

genius_generous answered 7 months ago
Next > < Previous

Related Solutions

A 4 kg block is placed at the top of an inclined plane. The plane is...
A 4 kg block is placed at the top of an inclined plane. The plane is 2.5 meters long and inclined at 34°. The coefficient of kinetic friction between the block and plane is 0.27. The block slides the 2.0 meters down the ramp. What speed does it have at the bottom?
A 10 kg block is placed on an inclined plane that is at an angle of...
A 10 kg block is placed on an inclined plane that is at an angle of 30 degrees with respect to the horizontal. THe coefficient of kinetic friction between the block and the plane is .1. The block is released from rest at 5m above a spring that is also lying on the plane. The spring has a constant of 50 N/m. What is the max compression of the spring?
A 1.50-kg block is on a frictionless, 30 degrees inclined plane. The block is attached to...
A 1.50-kg block is on a frictionless, 30 degrees inclined plane. The block is attached to a spring (k = 40.0N/m ) that is fixed to a wall at the bottom of the incline. A light string attached to the block runs over a frictionless pulley to a 60.0-g suspended mass. The suspended mass is given an initial downward speed of 1.40m/s. How far does it drop before coming to rest? (Assume the spring is unlimited in how far it...
An inclined plane is sliding, and accelerating, on a horizontal frictionless surface. There is a block...
An inclined plane is sliding, and accelerating, on a horizontal frictionless surface. There is a block at rest on the sloping surface, held in place by static friction through the horizontal acceleration of the system. The coefficient of static friction between the block and the inclined plane is 0.615. The slope of the incline plane is 40.5 degrees with respect to the horizontal. What is minimum acceleration of the inclined plane for the square block not to slide? What is...
An inclined plane is sliding, and accelerating, on a horizontal frictionless surface. There is a block...
An inclined plane is sliding, and accelerating, on a horizontal frictionless surface. There is a block at rest on the sloping surface, held in place by a static friction through the horizontal acceleration of the system. the coefficient of static friction between the block and the inclined plane is 0.615. the slope of the incline plane is 42.5 degrees with respect to the horizontal. a) What is the minumum acceleration of the inclined plane for the square block not to...
A block weighing 82.5 N rests on a plane inclined at 28.8° to the horizontal. The...
A block weighing 82.5 N rests on a plane inclined at 28.8° to the horizontal. The coefficient of the static and kinetic frictions are 0.25 and 0.12 respectively. What is the minimum magnitude of the force F, parallel to the plane, that will prevent the block from slipping? What is the minimum magnitude of F that will start the block moving up the plane? What is the magnitude of F is required to move the block up the plane at...
A 4.0-kg block is on an incline plane of 30 degrees angle with respect to horizontal....
A 4.0-kg block is on an incline plane of 30 degrees angle with respect to horizontal. a)What is the minimum coefficient of static friction (μs)min is need to prevent it from sliding down? b) If the surface μs is 0.30, less than (μs)min now, how much force(F) is needed to apply to the block horizontally to prevent it from sliding down?c) If F is doubled, what’s the acceleration of the block up the incline? Assume the coefficient of kinetic friction...
On a friction-free inclined plane, a block glides up the inclined plane (eventually it will stop...
On a friction-free inclined plane, a block glides up the inclined plane (eventually it will stop and slide down again, but in this task we look at it as it glides upwards). Which option is right: Gravity does a positive job. The normal force does a positive job. Gravity does a negative job. The normal force does a positive job. Gravity does zero work. Normal force performs zero work. Gravity does zero work. The normal force does a positive job....
a block slides down a frictionless inclined plane of height h=1m, making theta with the horizontal....
a block slides down a frictionless inclined plane of height h=1m, making theta with the horizontal. At the bottom of the plane, the block continues to move on a flat surface with a coefficient of friction u = 0.30. How far does the mass move on the flat surface?
A spring is attached to an inclined plane as shown in the figure. A block of...
A spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.75 kg is placed on the incline at a distance d = 0.294 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = 0.750 m/s. The incline angle is θ = 20.0°, the spring constant is k = 450 N/m, and we can...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT