Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble
= 12.3 gm
Velocity of
before collision
= 15.5 cm/s
Velocity of
after collision
= 77.5 cm/s
Marble 2:
Mass of the marble
= 24.6 gm
Velocity of
before collision
= 62 cm/s
Velocity of
after collision
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒ 
⇒
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒
...subtracting both sides 953.25
⇒ 
⇒
...dividing both sides with 24.6
⇒ 
⇒
cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.
Answer:
Moving Car. Moving cars possess some amount of kinetic energy. ...
Bullet From a Gun. A bullet fired from a gun has very high kinetic energy, and, so, it can easily penetrate any object. ...
Flying Airplane. ...
Walking & Running. ...
Cycling. ...
Rollercoasters. ...
Cricket Ball.
Answer:
8
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial
being divided by a factor in the form of
, then the remainder of the polynomial is given by
.
We have the polynomial:

And it is being divided by:

We can rewrite our factor as:

Therefore:

Then our remainder will be:

Evaluate:

So, our remainder will be 8.
Answer:
Step-by-step explanation:
(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope
Answer:
The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.
The second equation is a simplified version of the first one, and can be explained in three ways:
Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.
or
Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths
or
The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.
Hope this helps!