Answer:
momentum =0
kinetic energy >0, positive
Explanation:
The final momentum is zero but the final kinetic energy is positive.
The momentum is zero because momentum is the sum of the mass×velocity for each component. momentum is conserved
The KE is positive because KE is the sum of the 1/2×mass×velocity^2.
Whereas velocity can be positive and negative since it is (it's what makes the momentum zero because on is positive and one is negative), the velocity squared will always be positive.
Adding together two positives will always be a positive number.
Answer:
Explanation:
Energy stored in a capacitor
= 1/2 C₁V²
capacity of a capacitor
c = εK A / d
k is dielectric and d is distance between plates .
When the distance between the plates is halved and then filled with a dielectric (κ = 4.3)
capacity becomes 4.3 x 2 times
New capacity
C₂ = 8.6 C₁
Energy of modified capacitor
1/2 C₂ V²= 1/2 x 8.6 c x V²
Energy becomes
8.6 times.
Energy stored = 8.6 x 10⁻⁴ J
Lamina occupies x² + y² = 14y. Outside circle is x² + y² = 49
To find the mass of lamina, integrate given density function over the region
m = ∫∫D P(x, y) dA
Subtitute x = r cosФ and y = r sinФ in x² + y² = 14y
and x² + y² = 49
x² + y² = 14y
(r cosФ)² + ( rsinФ)² = 14(rsinФ)
r² = 14r sin Ф
x² +y² = 49
r² = 49
r = 7
Cntre mass (-x. -y)
-x= i/m ∫∫D xp(x,y) dA = 1/m∫∫ (r cosФ) p( r, Ф)r
dr dФ
-y = 1/m∫∫D yp(x, y) dA = 1/m ∫∫D (r sinФ) p(r, Ф) r drФ
where m = ∫∫D p(x, y) dA
Answer:
Explanation:
ASSUMING the defender at 5 m is NOT the goalie.
the ball horizontal velocity is 5 m/0.5 s = 10 m/s
The goalie, presumably at the goal line, has 15 m / 10 m/s = 1.5 s to react and move to the ball position.
Must be little league soccer as 10 m/s is a rather wimpy soccer ball speed.
Answer:
mass, volume: quantitative propereties: extensive properties
volume, melting point: quantitative propereties: intensive properties
Explanation:
The quantitative properties of matter are characteristics of matter that can be measured and of which quantities can be expressed.
Quantitative properties can be divided into 2 groups:
- Extensive properties: This is whose value depends on the amount of substance analyzed. They are not properties that allow us to distinguish one substance from another, since its value changes depending on the size of the object or sample that you have.
- Intensive properties: are those that do not depend on the mass or size of a body. That is, these are properties whose value is independent of the amount of substance analyzed; they are useful for differentiating substances.
On the other hand, the qualitative properties of matter are those that cannot be expressed in numerical values or quantities. They are detected, in many cases, through the senses, since they do not measure them.
In this case:
- <u><em>mass, volume: quantitative propereties: extensive properties</em></u>
- <u><em>volume, melting point: quantitative propereties: intensive properties</em></u>