Imagine two billiard balls on a pool table. Ball A has a mass of 2 kilograms and ball B has a mass of 3 kilograms. The initial v
1 answer:
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Answer:
Explanation:
In order to solve this question, we would need to incorporate Stoichiometry, which involves using relationships between reactants and/or products in a chemical reaction to determine desired quantitative data.
Here's a balanced equation for the reaction:
Let us define work as;
where
External pressure is given as , therefore the work solely depends on the change in volume and since the reactants are solids, none of the reactants contribute to the volume. Hence,
To find the volume of the products, we need to first find the amount of moles of the product made from using the molar mass of
which is 101.1032 g/mol
Now let us convert moles of into moles of
and
using the stoichiometric ratios from our balanced equation of the reaction.
is not factored into the volume calculation because it is a solid.
Now let us also convert the moles of and
into grams using their respective molar masses.
We will now proceed to convert grams into volume using the density values provided.
Summing up the two volumes, we get the final volume
Plugging everything into the equation, we get:
Finally, let us convert into joules using the conversion rate of;
The initial velocity of the ball is 8.2 m/s
Explanation:
The motion of the ball is a projectile motion, which consists of two separate motions:
- A uniform motion along the horizontal direction, at constant velocity
- A uniformly accelerated motion along the vertical direction, with constant acceleration (, acceleration of gravity)
The range of a projectile can be derived by the equation of motions along the two directions, and it is found to be:
where
v is the initial velocity of the projectile
is the angle of projection
g is the acceleration of gravity
For the ball in this problem, we have
d = 6 m is the range
Solving for v, we find the initial velocity:
Learn more about projectile motion:
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