Answer:
Q = 836.4 Joules.
Explanation:
Given the following data;
Mass = 100 grams
Initial temperature = 25°C
Final temperature = 45°C
We know that the specific heat capacity of water is equal to 4.182 J/g°C.
To find the quantity of heat;
Heat capacity is given by the formula;
Where;
Q represents the heat capacity or quantity of heat.
m represents the mass of an object.
c represents the specific heat capacity of water.
dt represents the change in temperature.
dt = T2 - T1
dt = 45 - 25
dt = 20°C
Substituting the values into the equation, we have;
Q = 836.4 Joules.
The angular acceleration is
Explanation:
To solve this problem we can use the equivalent of Newton's second law for rotational motions:
(1)
where
is the torque acting on the body
I is the moment of inertia of the body
is the angular acceleration
In this problem we have:
is the torque
The moment of inertia of a solid cylinder about its axis is
where
M = 100 kg is the mass
R = 1.2 m is the radius
Substituting,
And solving eq.(1) for , we find the angular acceleration:
Learn more about rotational motions:
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Answer:
The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant.
Answer:
11.76Newtons
Explanation:
Workdone = Force * distance
Given
Workdone = 180joules
Distance = 15.3 metres
Required
Force
From the formula;
Force - Work/distance
Force = 180/15.3
Force = 11.76Newtons
Hence the required force is 11.76Newtons
Answer:
It would take approximately 289 hours for the population to double
Explanation:
Recall the expression for the continuous exponential growth of a population:
where N(t) measures the number of individuals, No is the original population, "k" is the percent rate of growth, and "t" is the time elapsed.
In our case, we don't know No (original population, but know that we want it to double in a certain elapsed "t". We also have in mind that the percent rate "k" would be expressed in mathematical form as: 0.0024 (mathematical form of the given percent growth rate).
So we need to solve for "t" in the following equation:
Which can be rounded to about 289 hours