Answer:
, assuming that there's no heat exchange between the washing machine and the environment.
Explanation:
Let
denote the mass of water and
the specific heat capacity of water. The energy required to raise the temperature of that much water by
would be:
.
Washing at
would require a temperature change of
.
Washing at
would require a temperature change of
.
In both situations,
while
.
Calculate the energy required in either situation:
Washing at
:
.
Washing at
:
.
.
Answer and Explanation:
The ball is bouncing to a height of 1/3 of its previous height this is a type of geometric sequence the total distance can be found by the sum of geometric sequence
For example let the initial height is 243 fit
After one bounce it will reach 243/3 =81 feet
After second bounce 81/3=27 feet
After third bounce 27/3 =9 feet
After fourth bounce 9/3 =3 feet
So a sequence is formed that is 243,81,27,9,3..........
Here ![r=\frac{3}{9}=\frac{1}{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B9%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Sum of infinite GP = ![\frac{a}{1-r}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1-r%7D)
From this formula we can find the total distance traveled by the ball
Answer:
![30.4^{\circ}](https://tex.z-dn.net/?f=30.4%5E%7B%5Ccirc%7D)
Explanation:
Refraction occurs when a ray of light passes from a medium into another medium. In this situation, the ray of light bends and changes speed, according to Snell's Law:
where
is the index of refraction of the 1st medium
is the index of refraction of the 2nd medium
is the angle of incidence (the angle between the incident ray and the normal to the boundary)
is the angle of refraction (the angle between the refracted ray and the normal to the boundary)
In this problem, we have:
is the index of refraction of air
is the index of refraction of water
is the angle of incidence in air
Solving for
, we find the angle of refraction in water:
![\theta_2=sin ^{-1}(\frac{n_1}{n_2}sin \theta_1)=sin^{-1}(\frac{1.00}{1.33}sin42.3^{\circ})=30.4^{\circ}](https://tex.z-dn.net/?f=%5Ctheta_2%3Dsin%20%5E%7B-1%7D%28%5Cfrac%7Bn_1%7D%7Bn_2%7Dsin%20%5Ctheta_1%29%3Dsin%5E%7B-1%7D%28%5Cfrac%7B1.00%7D%7B1.33%7Dsin42.3%5E%7B%5Ccirc%7D%29%3D30.4%5E%7B%5Ccirc%7D)
Answer:
24 Newtons
Explanation:
The force exerted in the middle cube needs to be enough to move the middle cube and the right cube with an acceleration of 2 m/s2.
The mass of those two cubes combined is 6 + 6 = 12 kg
So, using the following equation, we can find the force:
Force = mass * acceleration
Force = 12 * 2
Force = 24 Newtons