Calculating Kinetic Energy After a Turn on a Horizontal Plane

Thread starter kaspis245
Start date May 29, 2015
Tags

Energy Kinetic Kinetic energy

In summary, the problem is to find the kinetic energy of a body after it turns from a horizontal plane to another plane at an angle α, with a friction coefficient of μ, given that the initial kinetic energy was K0. The body is affected by a normal force, gravity, and a tangential force, which is the resultant of the force of friction and the radial component of gravity. The tangential acceleration can be found using the tangential force and the mass of the body.

Jun 5, 2015

ehild

Homework Helper

I meant considering it a collision in the sense that it happens in a very short time: The normal force is impulsive and the effect of gravity can be ignored.
My previous approach which assumed a certain R leads to the same result at the limit R-->0. But I think, the method based on work-energy theorem outlined in Post ##34 might be more familiar to the OP.

<h2> How do you calculate kinetic energy after a turn on a horizontal plane?</h2><p>The formula for calculating kinetic energy after a turn on a horizontal plane is KE = 1/2 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.</p><h2> What is the difference between kinetic energy before and after a turn on a horizontal plane?</h2><p>The difference between kinetic energy before and after a turn on a horizontal plane is that the direction of the velocity changes after the turn, resulting in a change in the direction of the kinetic energy vector. This means that the magnitude of the kinetic energy may remain the same, but the direction will be different.</p><h2> How does the mass of an object affect its kinetic energy after a turn on a horizontal plane?</h2><p>The mass of an object directly affects its kinetic energy after a turn on a horizontal plane. The greater the mass of the object, the greater its kinetic energy will be, assuming the velocity remains constant. This is because the formula for kinetic energy includes the mass of the object.</p><h2> What factors can affect the velocity of an object after a turn on a horizontal plane?</h2><p>The velocity of an object after a turn on a horizontal plane can be affected by various factors such as the initial velocity, the radius of the turn, the angle of the turn, and the frictional forces acting on the object. These factors can either increase or decrease the velocity of the object after the turn.</p><h2> Can kinetic energy be converted into other forms of energy after a turn on a horizontal plane?</h2><p>Yes, kinetic energy can be converted into other forms of energy after a turn on a horizontal plane. For example, if the object is on a frictionless surface, the kinetic energy can be converted into potential energy as the object moves up an incline. Additionally, frictional forces can convert kinetic energy into heat energy, causing the object to slow down.</p>

FAQ: Calculating Kinetic Energy After a Turn on a Horizontal Plane

How do you calculate kinetic energy after a turn on a horizontal plane?

The formula for calculating kinetic energy after a turn on a horizontal plane is KE = 1/2 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

What is the difference between kinetic energy before and after a turn on a horizontal plane?

The difference between kinetic energy before and after a turn on a horizontal plane is that the direction of the velocity changes after the turn, resulting in a change in the direction of the kinetic energy vector. This means that the magnitude of the kinetic energy may remain the same, but the direction will be different.

How does the mass of an object affect its kinetic energy after a turn on a horizontal plane?

The mass of an object directly affects its kinetic energy after a turn on a horizontal plane. The greater the mass of the object, the greater its kinetic energy will be, assuming the velocity remains constant. This is because the formula for kinetic energy includes the mass of the object.

What factors can affect the velocity of an object after a turn on a horizontal plane?

The velocity of an object after a turn on a horizontal plane can be affected by various factors such as the initial velocity, the radius of the turn, the angle of the turn, and the frictional forces acting on the object. These factors can either increase or decrease the velocity of the object after the turn.

Can kinetic energy be converted into other forms of energy after a turn on a horizontal plane?

Yes, kinetic energy can be converted into other forms of energy after a turn on a horizontal plane. For example, if the object is on a frictionless surface, the kinetic energy can be converted into potential energy as the object moves up an incline. Additionally, frictional forces can convert kinetic energy into heat energy, causing the object to slow down.