Answer:
The shortest distance is
Explanation:
The free body diagram of this question is shown on the first uploaded image
From the question we are told that
The speed of the bicycle is 
The distance between the axial is 
The mass center of the cyclist and the bicycle is
behind the front axle
The mass center of the cyclist and the bicycle is
above the ground
For the bicycle not to be thrown over the
Momentum about the back wheel must be zero so

=> 
=> 
Here 
So 
Apply the equation of motion to this motion we have

Where 
and
since the bicycle is coming to a stop

=>
If energy could<span> be created or </span>destroyed<span>, all of our ideas of how the world works ... Historically, of course </span>not<span> all the forms of energy were known to begin with. ... too messy or complicated to make sense, we </span>would have<span> had to give up the law. ... </span>can<span> be converted into rest </span>mass<span> and back again (particle physicists </span>do<span> this </span><span>every )</span>
Answer: 3.33 m/s
Explanation:
Assuming the questions is to convert 12 km/h to meter per second (m/s), let's begin:
In order to make the conversion, we have to know the following:

And:

Keeping this in mind, we can make the conversion:

Then:

Answer:

Explanation:
In this case we have to use the Principle of conservation of Momentum:
<em>This principle says that in a system the total momentum is constant if no external forces act in the system. The formula is:</em>

<em>Where:</em>
Mass of the first object.
Mass of the second object.
Initial velocity of the first object.
Initial velocity of the second object.
Final velocity of the first object.
Final velocity of the second object.
In <u>this problem</u> we have:


Observation:
Is because the system has the same initial velocity.
First we have to find
,

We can rewrite it as:

Replacing with the data:

We found the final velocity of the cart, but the problem asks for the resulting change in the cart speed, this means:

Then, the resulting change in the cart speed is:
