To solve this problem it is necessary to apply the concepts concerning the conservation of both potential and thermodynamic energy of the body. That is to say that as the body has a loss of potential energy it is gained in the form of thermal energy on water. If the potential energy is defined as
Where,
m= mass
g = Gravitational acceleration
h = Height
And thermal energy is obtained as
Where,
= Change in Temperature
Specific Heat
m = Mass
We can equate this equation and rearrange to find the change at the Temperature, then
Our values are given as,
Specific Heat Water
Using energy conservation
Replacing,
Therefore the temperature increase in a 1kg sample of water is 1.89K
Weight is a measure of the force of gravity acting on an object. According to Newton's laws of motion, force is directly proportional to both mass and acceleration, and the equation for force is F = m * a, where m = mass and a = acceleration.
B is the correct answer because an object moving ten north m/s will turn into 15m/s which as you can tell is accelerating.
The role of thermal energy is to balance the electrical energy lost from the light bulb.
<h3>
Energy conservation</h3>
The law of energy conservation states that energy can neither be created nor destroyed but can be transformed from one form to another.
<h3>Thermal energy</h3>
This is a form of energy that occurs due to rise in temperature.
The role of thermal energy is to balance the electrical energy lost from the light bulb.
Learn more about conservation of energy here: brainly.com/question/166559
Answer:
68.8 N 13.8°N of W
Explanation:
F₁ is 50 N 30°N of W. The terminal angle is 150°.
F₂ is 25 N 20°S of W. The terminal angle is -160°.
Graphically, you can add the vectors using head-to-tail method. Move F₂ so that the tail of the vector is at the head of F₁. The resultant vector will be from the tail of F₁ to the head of F₂.
Algebraically, find the x and y components of each vector.
F₁ₓ = 50 N cos(150°) = -43.3 N
F₁ᵧ = 50 N sin(150°) = 25 N
F₂ₓ = 25 N cos(-160°) = -23.5 N
F₂ᵧ = 25 N sin(-160°) = -8.6 N
The x and y components of the resultant vector are the sums:
Fₓ = -43.3 N + -23.5 N = -66.8 N
Fᵧ = 25 N + -8.6 N = 16.4 N
The magnitude of the resultant force is:
F = √(Fₓ² + Fᵧ²)
F = √((-66.8 N)² + (16.4 N)²)
F = 68.8 N
The direction of the resultant force is:
θ = tan⁻¹(Fᵧ / Fₓ)
θ = tan⁻¹(16.4 N / -66.8 N)
θ = 166.2°
θ = 13.8°N of W
