Answer:
A. Endothermic reaction.
B. +150KJ.
C. 250KJ.
Explanation:
A. The graph represents endothermic reaction because the heat of the product is higher than the heat of the reactant.
B. Determination of the enthalpy change, ΔH for the reaction. This can be obtained as follow:
Heat of reactant (Hr) = 50KJ
Heat of product (Hp) = 200KJ
Enthalphy change (ΔH) =..?
Enthalphy change = Heat of product – Heat of reactant.
ΔH = Hp – Hr
ΔH = 200 – 50
ΔH = +150KJ
Therefore, the enthalphy change for the reaction is +150KJ
C. The activation energy for the reaction is the energy at the peak of the diagram.
From the diagram, the activation energy is 250KJ.
Answer:
The acceleration of the both masses is 0.0244 m/s².
Explanation:
Given that,
Mass of one block = 602.0 g
Mass of other block = 717.0 g
Radius = 1.70 cm
Height = 60.6 cm
Time = 7.00 s
Suppose we find the magnitude of the acceleration of the 602.0-g block
We need to calculate the acceleration
Using equation of motion
![s=ut+\dfrac{1}{2}at^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
Where, s = distance
t = time
a = acceleration
Put the value into the formula
![60.0\times10^{-2}=0+\dfrac{1}{2}\times a\times(7.00)^2](https://tex.z-dn.net/?f=60.0%5Ctimes10%5E%7B-2%7D%3D0%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%287.00%29%5E2)
![a=\dfrac{60.0\times10^{-2}\times2}{(7.00)^2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B60.0%5Ctimes10%5E%7B-2%7D%5Ctimes2%7D%7B%287.00%29%5E2%7D)
![a=0.0244\ m/s^2](https://tex.z-dn.net/?f=a%3D0.0244%5C%20m%2Fs%5E2)
Hence, The acceleration of the both masses is 0.0244 m/s².
Answer:
v = 5.9 x 10⁷ m/s
Explanation:
The kinetic energy of the electron in terms of potential difference is given as:
--------------- equation (1)
where,
e = charge on electron = 1.6 x 10⁻¹⁹ C
V = Potential Difference = 9.9 KV = 9900 Volts
The kinetic energy in general is given as:
--------- equation (2)
where,
m = mass of electron = 9.1 x 10⁻³¹ kg
v = speed of electron = ?
Therefore, comparing equation (1) and equation (2), we get:
![\\\frac{1}{2}mv^{2} = eV\\\\\frac{1}{2}(9.1\ x\ 10^{-31}\ kg)v^{2} = (1.6\ x\ 10^{-19}\ C)(9900\ volts)\\\\v = \sqrt{34.81\ x\ 10^{14}} \\](https://tex.z-dn.net/?f=%5C%5C%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D%20%3D%20eV%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%289.1%5C%20x%5C%2010%5E%7B-31%7D%5C%20kg%29v%5E%7B2%7D%20%3D%20%281.6%5C%20x%5C%2010%5E%7B-19%7D%5C%20C%29%289900%5C%20volts%29%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B34.81%5C%20x%5C%2010%5E%7B14%7D%7D%20%5C%5C)
<u>v = 5.9 x 10⁷ m/s</u>
Answer:
Travelled 18 km, they are 6 km from home.
Explanation:
12/2 (halfway) is 6km. So, 6 + 12 would be 18 km, total amount travelled. The total distance of the trip would be 24 km (12 km out, 12km back) if they travelled 12+6 (18km) then they only have 6 km more to go.
Answer:
a) The angular acceleration of the beam is 0.5 rad/s²CW (direction clockwise due the tangential acceleration is positive)
b) The acceleration of point A is 3.25 m/s²
The acceleration of point E is 0.75 m/s²
Explanation:
a) The relative acceleration of B with respect to D is equal:
![a_{B} =a_{D} +(a_{B/D} )_{n} +(a_{B/D} )_{t}](https://tex.z-dn.net/?f=a_%7BB%7D%20%3Da_%7BD%7D%20%2B%28a_%7BB%2FD%7D%20%29_%7Bn%7D%20%2B%28a_%7BB%2FD%7D%20%29_%7Bt%7D)
Where
aB = absolute acceleration of point B = 2.5 j (m/s²)
aD = absolute acceleration of point D = 1.5 j (m/s²)
(aB/D)n = relative acceleration of point B respect to D (normal direction BD) = 0, no angular velocity of the beam
(aB/D)t = relative acceleration of point B respect to D (tangential direction BD)
![a_{B} =a_{D} +(a_{B/D} )_{t}](https://tex.z-dn.net/?f=a_%7BB%7D%20%3Da_%7BD%7D%20%20%2B%28a_%7BB%2FD%7D%20%29_%7Bt%7D)
![2.5j=1.5j +(a_{B/D} )_{t}\\(a_{B/D} )_{t}=j=1m/s^{2}](https://tex.z-dn.net/?f=2.5j%3D1.5j%20%20%2B%28a_%7BB%2FD%7D%20%29_%7Bt%7D%5C%5C%28a_%7BB%2FD%7D%20%29_%7Bt%7D%3Dj%3D1m%2Fs%5E%7B2%7D)
We have that
(aB/D)t = BDα
Where α = acceleration of the beam
BDα = 1 m/s²
Where
BD = 2
![2\alpha =1\\\alpha =0.5rad/s^{2}CW](https://tex.z-dn.net/?f=2%5Calpha%20%3D1%5C%5C%5Calpha%20%3D0.5rad%2Fs%5E%7B2%7DCW)
b) The acceleration of point A is:
![a_{A} =a_{D} +(a_{A/D} )_{t}](https://tex.z-dn.net/?f=a_%7BA%7D%20%3Da_%7BD%7D%20%20%2B%28a_%7BA%2FD%7D%20%29_%7Bt%7D)
(aA/D)t = ADαj
![a_{A} =a_{D} +AD\alpha j\\a_{A}=1.5j+(3.5*0.5)j\\a_{A}=3.25jm/s^{2}](https://tex.z-dn.net/?f=a_%7BA%7D%20%3Da_%7BD%7D%20%20%2BAD%5Calpha%20j%5C%5Ca_%7BA%7D%3D1.5j%2B%283.5%2A0.5%29j%5C%5Ca_%7BA%7D%3D3.25jm%2Fs%5E%7B2%7D)
The acceleration of point E is:
(aE/D)t = -EDαj
![a_{E} =a_{D} -ED\alpha j\\a_{E}=1.5j-(1.5*0.5)j\\a_{E}=0.75jm/s^{2}](https://tex.z-dn.net/?f=a_%7BE%7D%20%3Da_%7BD%7D%20%20-ED%5Calpha%20j%5C%5Ca_%7BE%7D%3D1.5j-%281.5%2A0.5%29j%5C%5Ca_%7BE%7D%3D0.75jm%2Fs%5E%7B2%7D)