Two iron balls of different mass are heated to 100°C and dropped in water. If the same amount of heat is lost by the two balls t
2 answers:
Answer:
The correct option is D) The heavier ball will have a higher temperature because the change of temperature is inversely proportional to mass.
Explanation:
The measurement and calculation of the amounts of heat exchanged by a body or system is called calorimetry.
In this way, there is a direct proportionality relationship between heat and temperature (Two magnitudes are directly proportional when there is a constant so that when one of the magnitudes increases, the other also; and the same occurs when either of them decreases .). The constant of proportionality depends on the substance that constitutes the body as its mass, and the product of specific heat results from the body's mass. So, the equation that allows you to calculate heat exchanges is:
Q = Cp * m * ΔT
Where Q is the heat exchanged in Joules for a body of mass m in grams, constituted by a specific heat substance Cp measured in joule per gram degree Celsius and where ΔT is the temperature variation measured in degree Celsius. The temperature variation is ΔT=Tfinal - Tinitical
Then the temperature variation will be:
ΔT=
In this expression you can see that it follows the model of a rule of inverse proportionality . k is a constant that in this case is represented by Q and Cp. So, the change of temperature is inversely proportional to mass.
Finally <u><em>the correct option is D) The heavier ball will have a higher temperature because the change of temperature is inversely proportional to mass. </em></u>
You might be interested in
Answer:
The value is
Explanation:
From the question we are told that
The diameter of the ring is
The length of the solenoid is
The diameter of the solenoid is
The number of turns is N = 1500
The change in current in the solenoid is
The time taken is
Generally the radius of the ring is
=>
=>
Generally the area of the ring is mathematically represented as
=>
=>
Generally the induced emf is mathematically represented as
Here
Here is the permeability of free space with value
So
=>
So
=>
Answer:
5.4 ms⁻¹
Explanation:
Here we have to use conservation of energy. Initially when the stick is held vertical, its center of mass is at some height above the ground, hence the stick has some gravitational potential energy. As the stick is allowed to fall, its rotates about one. gravitational potential energy of the stick gets converted into rotational kinetic energy.
= length of the meter stick = 1 m
= mass of the meter stick
= angular speed of the meter stick as it hits the floor
= speed of the other end of the stick
we know that, linear speed and angular speed are related as
= height of center of mass of meter stick above the floor =
= Moment of inertia of the stick about one end
For a stick, momentof inertia about one end has the formula as
Using conservation of energy
Rotational kinetic energy of the stick = gravitational potential energy
Answer:
V_{a} - V_{b} = 89.3
Explanation:
The electric potential is defined by
= - ∫ E .ds
In this case the electric field is in the direction and the points (ds) are also in the direction and therefore the angle is zero and the scalar product is reduced to the algebraic product.
V_{b} - V_{a} = - ∫ E ds
We substitute
V_{b} - V_{a} = - ∫ (α + β/ y²) dy
We integrate
V_{b} - V_{a} = - α y + β / y
We evaluate between the lower limit A 2 cm = 0.02 m and the upper limit B 3 cm = 0.03 m
V_{b} - V_{a} = - α (0.03 - 0.02) + β (1 / 0.03 - 1 / 0.02)
V_{b} - V_{a} = - 600 0.01 + 5 (-16.67) = -6 - 83.33
V_{b} - V_{a} = - 89.3 V
As they ask us the reverse case
V_{b} - V_{a} = - V_{b} - V_{a}
V_{a} - V_{b} = 89.3