# What is the formula for acceleration down a slope?

Table of Contents

- 1 What is the formula for acceleration down a slope?
- 2 How do you find the work done by friction on a slope?
- 3 How does mass affect acceleration down a slope?
- 4 How does angle affect acceleration?
- 5 How do you find work due to friction?
- 6 How does the magnitude of static friction affect applied force?
- 7 How does lubrication affect the coefficient of kinetic friction?
- 8 What is the direction of friction between two objects?

## What is the formula for acceleration down a slope?

When you know that F = ma, you can solve for the acceleration. After you solve for the force along the ramp, you can get the acceleration (a = F/m) along the ramp. Your block of ice is going to accelerate down the ramp.

## How do you find the work done by friction on a slope?

Work done by the friction & the gravity = (f+Mgsinex)×displacement along the plane . f = (mu)Mgcosx[limitingfriction, ]M is the mass of the body,Xi’s the angle of incline. Net work done( F-f-Mgsinex)× displacement along the plane[ ie the net force× displacement along the plane.]

**How do you find the coefficient of kinetic friction given acceleration and angle?**

Incorporating the physics of friction with the geometry of the inclined plane gives a simple formula for the coefficient of static friction: μ = tan(θ), where μ is the coefficient of friction and θ is the angle.

### How does mass affect acceleration down a slope?

Since the frictional force, like gravity and inertia, is proportional to the mass of a sliding object, all terms in the equation of motion for the body on an inclined plane are proportional to the mass. Thus, the mass should not affect how fast an object slides down a plane.

### How does angle affect acceleration?

As the angle increases, the component of force parallel to the incline increases and the component of force perpendicular to the incline decreases. It is the parallel component of the weight vector that causes the acceleration. Thus, accelerations are greater at greater angles of incline.

**What is the formula for work done by friction?**

As was mentioned, work = force x distance. With friction, force = uN where N is the force between two surfaces, and u is the co-efficient of sliding friction ( static friction does no work whatsoever, since there is no distance involved ).

## How do you find work due to friction?

The work done by friction is the force of friction times the distance traveled times the cosine of the angle between the friction force and displacement; hence, this gives us a way of finding the distance traveled after the person stops pushing.

## How does the magnitude of static friction affect applied force?

The magnitude of the static friction balances that of the applied force. This is shown in the left side of the graph in (c). (b) At some point, the magnitude of the applied force is greater than the force of kinetic friction, and the block moves to the right. This is shown in the right side of the graph.

**What are the characteristics of sliding friction?**

One of the simpler characteristics of sliding friction is that it is parallel to the contact surfaces between systems and is always in a direction that opposes motion or attempted motion of the systems relative to each other. If two systems are in contact and moving relative to one another, then the friction between them is called kinetic friction.

### How does lubrication affect the coefficient of kinetic friction?

Once there is motion, friction is less and the coefficient of kinetic friction might be 0.30, so that a force of only keeps it moving at a constant speed. If the floor is lubricated, both coefficients are considerably less than they would be without lubrication.

### What is the direction of friction between two objects?

The direction of friction is always opposite that of motion, parallel to the surface between objects, and perpendicular to the normal force. For example, if the crate you try to push (with a force parallel to the floor) has a mass of 100 kg, then the normal force is equal to its weight,