Answer:
<em>10500 J</em>
Explanation:
<em>Heat:</em> Heat is defined as a form of energy that brings about the sensation of warmth. The S.I unit of heat is Joules (J)
Q = cm(T₂-T₁)..................................... Equation 1
Where Q = quantity of heat, c = specific heat capacity of water, m = mass of water, T₂ = final temperature, T₁ = initial temperature.
<em>Given: m = 100 g = (100/1000) kg = 0.1 kg, T₁ = 25 °C, T₂ = 50 °C.</em>
<em>Constant: c = 4200 J/kg.°C</em>
<em>Substituting these values into equation 1</em>
<em>Q = 0.1×4200×(50-25)</em>
<em>Q = 420×25</em>
<em>Q = 10500 J</em>
<em>Thus the amount of heat needed to raise the temperature of 100 g of water from 25 °C to 50 °C = 10500 J</em>
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The big bang is how astronomers explain the way the universe began. It is the idea that the universe began as just a single point, then expanded and stretched to grow as large as it is right now (and it could still be stretching).
Answer:
dR/dt = 10.2 ft / s
Explanation:
Let's work this problem by finding the distance between the balloon and the motorcycle and then drift for the speed change of the distance
Balloon
y = y₀ + t
Motorcycle
x = v₀ₓ t
Distance, let's use Pythagoras' theorem
R² = x² + y²
R² = (v₀ₓ t)² + (y₀ + t)²
v₀ₓ = 88 ft / s
= 8 ft / s
y₀ = 150 ft
R² = (8 t)² + (150 + 8 t )²
R² = 64 t² + (150 + 8t )²
This is the expression for the distance between the two bodies, the rate of change is the derivative with respect to time (d / dt)
2RdR / dt = 64 2 t + 2 (150 + 8t) 8
dR / dt = [64 t + (1200 + 64t )] / R
dR/dt = (1200 +128 t)/R
Let's calculate for the time of 10 s
dR / dt = (1200 + 128 10) / R = 2480 /R
R = √ [64 10² + (150 + 8 10)²
R = √ [6400 + 52900]
R = 243.5 ft
dR / dt = (2480) / 243.5
dR / dt = 10.2 ft / s
We have that the expression for the magnitude of the horizontal force F is
From the question we are told
find an expression for the magnitude of the horizontal force f in the figure for which m1 does not slip either up or down along the wedge. all surfaces are friction-less.
Generally the equation for Normal force is mathematically given as
Where
a signifies acceleration
Therefore
Equating above equations
i
Generally the equation for Force on wedge is mathematically given as
Therefore
The expression for the magnitude of the horizontal force F is
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Answer: make objective observations.
Explanation: