Momentum Q: Determine Speed, Friction of Metal Bar

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In summary, the object with a mass of 2000 kg and the metal bar with a mass of 400 kg collide at a speed of 6 m/s. The object comes to rest on the bar without bouncing and as a result, the bar is driven into the ground to a depth of 0.75 m. To determine the speed of the bar immediately after the collision, the conservation of momentum equation is used. However, the calculated speed of 30 m/s does not match the answer given in the book, which is 5 m/s. As for determining the average frictional force exerted by the ground on the bar, the relationship between force and momentum is needed, but without knowing the values for acceleration or time,
  • #1
Atran
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Homework Statement


... The object has a mass 2000 kg and the metal bar has a mass of 400.
The object strikes the bar at speed 6 m/s. It comes to rest on the bar without bouncing.
As a result of the collision, the bar is driven into the ground to a depth of 0.75 m
a) Determine the speed of the bar immediately after the object strikes it.
b) Determine the average frictional force exerted by the ground on the bar.

Homework Equations


The basic mechanics equations.

The Attempt at a Solution


a) p1 + p2 = 12000 kg m/s
v2 = (12000/400) m/s = 30 m/s
In the book, the answer is 5 m/s.

b) No idea! I don't have a value of (a) or (t).
 
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  • #2
For a: it's just conservation of momentum.

For b: how does force relate to momentum?
 

Related to Momentum Q: Determine Speed, Friction of Metal Bar

What is momentum?

Momentum is a measure of an object's mass and velocity. It is calculated by multiplying an object's mass by its velocity.

How do you determine an object's speed?

To determine an object's speed, you can divide its momentum by its mass. This will give you the object's velocity, which is its speed in a particular direction.

What is friction and how does it affect momentum?

Friction is a force that opposes motion between two surfaces in contact. It can affect momentum by reducing the object's speed and causing it to lose energy as it moves.

How can you calculate the friction of a metal bar?

The friction of a metal bar can be calculated by measuring the force required to keep the bar moving at a constant speed. This force is equal to the frictional force acting on the bar.

Why is momentum an important concept in science?

Momentum is an important concept in science because it helps us understand the motion of objects and how they interact with each other. It is also a fundamental principle in the laws of physics, such as the law of conservation of momentum.

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