A book is sitting on the dashboard of a car that is stopped at a traffic light as the car starts to move forward the book slides
1 answer:
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1) Maximum
2) Maximum
Explanation:
The force acting on a mass on a spring is given by Hooke's law; in magnitude:
where
F is the force
k is the spring constant
x is the displacement
Also we know from Newton's second law that we can write
where
m is the mass
a is the acceleration
So we can write the equation as
(1)
From this relationship, we see that the acceleration is directly proportional to the displacement.
On the other hand, we know that the total mechanical energy of the system mass-spring is constant, and it is given by
(2)
where the first term is the elastic potential energy while the second term is the kinetic energy, and where
v is the velocity of the mass
From eq. (2), it is clear that when displacement increases, velocity decreases, and vice-versa; however, from eq.(1) we also know that acceleration is proportional to the displacement.
Therefore this means that:
- When acceleration increases, velocity decreases
- When acceleration decreases, velocity increases
Therefore, the two answers here are:
- When the acceleration of a mass on a spring is zero, the velocity is at a maximum
When the velocity of a mass on a spring is zero, the acceleration is at a maximum
There isn't a direct answer to this, but I can show you!
This is how you group Pennies, Nickels, and Dimes.
1 Penny= 1 cent.
1 Nickel= 5 cents.
1 Dime= 10 cents.
Imagine if there was 5 pennies, 3 dimes, and 8 Nickels.
That might seem like a lot of numbers, but it's pretty simple!
You know how pennies are worth 1 cent? If we had 5 pennies, that would be 5 cents.
1+1+1+1+1=5 cents.
Then, we have 3 dimes. Dimes are each 10 cents.
So, 10x3 (If you know multiplication, if not, you will learn it later) :)
10+10+10= 30 cents.
Now, nickels. We have 8 nickels! Remember, each nickel is 5 cents.
5+5+5+5+5+5+5+5=
40 Nickels.
Now add all of the coins up.
5 cents + 30 cents + 40 cents = 75 cents!
I hope this helped! If you need more help, you can ask me. :)
