Coefficient of kinetic energy

In summary, the question asks about the distance a block with an embedded bullet will slide on a horizontal surface, given the masses of the bullet and block, the initial velocity of the bullet, and the coefficient of kinetic friction. The solution involves using conservation of momentum to find the velocity after the collision, and then using the equation for kinetic energy to solve for the distance the block will slide. The final answer should be expressed in terms of m, M, Vo, U, and g.
  • #1
anelmarx
8
0

Homework Statement



Consider a bullet of mass m fired at a speed of Vo into a wooden blcok of mass M. The bullet instantaneously comes to a rest in the block. The block with the embedded bullet slides along a horizontal surface with a coefficient of kinetic friction U.
How far does the block slide before is comes to rest; find s.
Express answer in terms of m,M,Vo,U and g.

Homework Equations



KE=PE

The Attempt at a Solution



1/2(m+M)V*V=(m+M)gs*U
so
s=V*V/2Ug

I think that is correct , but now my answer does not have Vo,m,M?
("Express answer in terms of m,M,Vo,U and g.")
 
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  • #2
anelmarx said:
Consider a bullet of mass m fired at a speed of Vo into a wooden blcok of mass M. The bullet instantaneously comes to a rest in the block. The block with the embedded bullet slides along a horizontal surface with a coefficient of kinetic friction U.
How far does the block slide before is comes to rest; find s.
Express answer in terms of m,M,Vo,U and g.

Hi anelmarx! :smile:

Use conservation of momentum (it's conserved in all collisions) to find the velocity immediately after the collision. :wink:
 

What is the coefficient of kinetic energy?

The coefficient of kinetic energy is a unitless value that represents the amount of energy an object possesses due to its motion. It is calculated by dividing the kinetic energy of an object by the square of its velocity.

How is the coefficient of kinetic energy calculated?

The coefficient of kinetic energy is calculated by dividing the kinetic energy of an object by the square of its velocity. The formula for kinetic energy is 1/2 * mass * velocity². So the formula for the coefficient of kinetic energy is KE / velocity².

What is the significance of the coefficient of kinetic energy?

The coefficient of kinetic energy is significant because it helps us understand the relationship between an object's mass, velocity, and energy. It allows us to compare the kinetic energy of different objects and determine which ones have more or less energy based on their velocity.

How does the coefficient of kinetic energy affect an object's motion?

The coefficient of kinetic energy does not directly affect an object's motion. However, it is a factor in determining the amount of kinetic energy an object has, which can affect its motion. Objects with a higher coefficient of kinetic energy will have more energy and therefore more potential for movement and acceleration.

What factors can influence the coefficient of kinetic energy?

The coefficient of kinetic energy is influenced by an object's mass and velocity. A heavier object or an object with a higher velocity will have a higher coefficient of kinetic energy. Other factors that can affect the coefficient of kinetic energy include air resistance, friction, and external forces acting on the object.

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