Answer:
Force=mass × acceleration.
20,000=mass × 8.
20000=8m.
m=20000/8.
=2500g
Answer:
Explanation:
Given,
- mass of the first particle =
- velocity of the first particle =
- mass of the second particle =
- velocity of the second particle =
- Time interval =
Let be the initial velocity of the center of mass of the system of particle at time
Assuming that the first particle is at origin, distance of the second particle from the origin is 'd'
Center of mass of the system of particles
Hence, at time , the center of mass of the system is at at an initial speed of
Both the particles are assumed to be the point masses, therefore at the time the center of mass is at the position of the second particle which should be equal to the total distance traveled by the first particle because the second particle is at rest.
Let be the distance traveled by the center of mass of the system of particles in the time interval
From the kinematics,
Hence, this is the required distance traveled by the first mass to collide with the second mass which is at rest.
Answer:
Approximately .
Assumption: measures the enthalpy change of the reaction where the water is in its gaseous state (as "water vapor.")
Explanation:
The heat of combustion of a substance gives the enthalpy change when one mole of that substance reacts with excess oxygen.
Start by balancing the equation for the complete combustion of ethyne in oxygen .
.
Set coefficient of should be equal to one. Simply divide all coefficients by the coefficient of .
.
The enthalpy change of a reaction like this one is equal to
- The energy of bonds broken, minus
- The energy of bonds formed.
If the energy of bonds formed is greater than that of the bonds broken, the reaction would be exothermic and should be negative.
In each mole of this reaction, bonds broken include:
In each mole of this reaction, bonds formed include:
- bonds (each molecule contains two such bonds,) and
- bonds.
Hence
.
Rewrite the equation to isolate the unknown :
.
Look up the bond energy for these bonds (except for the unknown carbon-carbon triple bond)
.
The altitude of the pole vaulter as she crosses the bar is 5 m.
<h3>The altitude of the bar</h3>
v² = u² - 2gh
where;
- v is final velocity of the pole vaulter
- u is the initial velocity of the pole vaulter
- h is altitude of the bar
h = (u² - v²)/2g
h = (10² - 1.5²)/(2 x 9.8)
h = 5 m
Thus, the altitude of the pole vaulter as she crosses the bar is 5 m.
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