A bullet of mass m = 29 g is fired into a wooden block of mass...

A bullet of mass m = 29 g is fired into a wooden block of mass M = 4.9 kg as shown in the figure below. The block is attached to a string of length 1.5 m. The bullet is embedded in the block, causing the block to then swing as shown in the figure. If the block reaches a maximum height of h = 0.27 m, what was the initial speed of the bullet?

Solutions

Expert Solution

To solve this problem you have to know about Momentum, kinectic energy and potential energy

Step 1.

Definition:

Kinetic energy: Kinetic energy is an expression of the fact that a moving object can do work on whatever strikes ; quantifies the amount of work that the object might take as a result of their movement.

Potential energy: Potential energy is energy that results from the position or shape of the object. An object can have the ability to perform work as a result of its position in a gravitational field (gravitational potential energy).

Momemtum: It refers to moving objects and is a vector quantity which plays an important role in Newton 's second law. The amount of movement combines the ideas of inertia and movement. It also follows a principle of conservation that has been used to discover many facts related to the basic particles of the universe. The law of conservation of momentum and the law of conservation of energy, are the most powerful tools of mechanics.

Step 2.

I can not see the figure. I suppose that collision is a inelastic collision, we have the following

, the wooden is a rest before collision

Now after collision the system adquired kinetic energy and potential energy

replace this value in the momentum equation

If you have any question please let me know in the comments

genius_generous answered 1 year ago

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