Answer:
<em>The ball will roll upto </em><em>1 m.</em>
Step-by-step explanation:
A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.
As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.
According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.
Here given kinetic energy as 10 J, so this energy will get converted to potential energy.
We know that, potential energy is

where,
m is the mass, g is the acceleration due to gravity and h is the height.
Putting the values,



<u>Answer:</u>
The coefficient of 
<u>Solution:
</u>
The given expression is 
As per binomial theorem, we know,

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10
Now
will be the 6 term where k =5
Now, 
So, the coefficient of
.

The coefficient of 
x =2 y =8
2x + 2y=20
2x=20-2y
x=10-y
Ahora len la otra ecuacion remplazamos x por (10-y)
-2(10-y)-6y=-52
-20+2y-6y=-52
2y-6y= -32 (-52+20= -32)
-4y=-32
-y=-8
y=8 x=10-y x=2
2*2+2*8=20
4+16=20
-2*2-6*8= -52
-4-48= -52
Check the picture below.
notice the composite is just,
a 5x2 rectangle.
a triangle(yellow) with a base of 2 and a height of 2.
a triangle(red) with a base of 6 and a height of 4.
get the area of each, sum them up, and that's the area of the composite.