Answer:
5*10^25 atoms of carbon
Explanation:
<u>Check from the periodic table:</u>
M(carbon) = 12.01 g/mol
<u>Convert kg into g:</u>
1 kg = 1000 g
<u>Calculate the number of moles of carbon:</u>
n(carbon) = (1000 g) ÷ (12.01 g/mol) = 83.26 mol
<u>Convert moles into number of particles:</u>
#(carbon) = n × NA = 83.26 mol × 6*10^23
= 5*10^25 particles
<em>N</em><em>o</em><em>t</em><em>e</em><em>:</em><em> </em><em>NA represents the Avogadro's Number, which has the value 6.02*10^23 particles/mol</em><em>.</em>
The particle has
and
, and is undergoing a constant acceleration of
.
This means its position at time
is given by the vector function,

![\implies\vec r(t)=\left[4\,\mathrm m+\left(2\dfrac{\rm m}{\rm s}\right)t-\left(1\dfrac{\rm m}{\mathrm s^2}\right)t^2\right]\,\vec\imath-\left(1\dfrac{\rm m}{\mathrm s^2}\right)t^2\,\vec\jmath](https://tex.z-dn.net/?f=%5Cimplies%5Cvec%20r%28t%29%3D%5Cleft%5B4%5C%2C%5Cmathrm%20m%2B%5Cleft%282%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29t-%5Cleft%281%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29t%5E2%5Cright%5D%5C%2C%5Cvec%5Cimath-%5Cleft%281%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29t%5E2%5C%2C%5Cvec%5Cjmath)
The particle crosses the x-axis when the
component is 0 for some time
, so we solve:




The negative square root introduces a negative solution that we throw out, leaving us with
or about 3.24 seconds after it starts moving.
E force needed to accelerate a 68 kilogram-skier at a rate of
1.2
m
s
2
is 81.6 Net forces.
Explanation:
Take the mass(68kg) and the acceleration of the skier(
1.2
m
s
2
) and multiply them together
Answer:
a. Magnesium dichloride
b. Magnesium phosphate
c. Calcium hydrogen carbonate
They would feel warmer cause black attracts heat and also could attract bees