Answer:
θ₄ = 37.2º
Explanation:
For this exercise it must be solved in two parts, the first part we look for the critical angle, for this we use the law of refraction with the angle in the middle of transmission of tea = 90º
n₁ sin θ₁= n₂ sin 90
θ₁ = sin⁻¹
θ₁ = sin⁻¹ (1.33 / 1.43)
θ₁ = 68.4º
They indicate that the angle of incidence is half of the critical angle
θ₃ = 68.4 / 2 = 34.2º
Let's use the law of refraction again
n₁ sin θ₃ = n₂ sin θ₄
sin θ₄ = sin θ₃
sin θ₄ = sin 34.2
θ₄ = sin⁻¹ 0.604345
θ₄ = 37.2º
Volume of the original block (V) of length (l), width (w) and height (h) is given by the following equation
hence volume of original block, V = (6)(4)(10) =
Now say we cut this block in two equal parts, than the length of new block will be ; where as its width and height will be same as of original block i.e. 4 cm and 10 cm respectively.
So, Volume of half-block is ; or we can say that the volume of half-block is half that of orignal block.
Answer:
<em>The second person will have a velocity of 0.85 m/s in the opposite direction of the first person.</em>
Explanation:
<u>Law Of Conservation Of Linear Momentum</u>
The total momentum of a system of bodies is conserved unless an external force is applied. The formula for the momentum of a body with mass m and velocity v is:
P=mv.
If we have a system of bodies, then the total momentum is the sum of them all
If a collision occurs, the velocities change to v' and the final momentum is:
In a system of two masses, the law of conservation of linear momentum is:
According to the conditions of the problem, two persons standing on a frictionless surface are initially at rest (v1=0, v2=0). Their masses are m1=50 Kg and m2=65 Kg. After the push, one person (say m1) moves backward at v1'=-1.1 m/s. We can calculate the speed of the other person by solving for v2':
Substituting:
The second person will have a velocity of 0.85 m/s in the opposite direction of the first person.
A thermostat is a switch that operates itself when the temperature
goes above or below a temperature that the user can set.
-- Before you go to bed, you set the thermostat for 65° .
If the temperature in the house goes below 65° during the night,
the thermostat turns on the furnace, and keeps it running until
the house warms up to 65°. Then it shuts the furnace off.
-- After breakfast, you set the thermostat for 75°.
If the temperature in the house goes above 75°, during the day,
the thermostat turns on the air conditioner, and keeps it running until
the house cools down to 75°. Then it shuts the air conditioner off.
-- On Sunday morning, you put the slow cooker on the kitchen counter,
and you throw in a big roast, a sliced onion, some baby carrots, some
sliced potatoes, some vegetable stock, salt, pepper, garlic, chili powder,
and tomato paste. Then you put the cover on, turn the power on, and
set the slow cooker to "LOW". The heater in the slow cooker turns on.
Whenever the temperature in the crock gets higher than 160°, the
thermostat in the slow cooker turns off the heater, and keeps it off
until the crock cools down to 160°. Then the thermostat turns the
heater on again.
By dinner time, you have a hot, juicy, scrumptious pot roast, ready
to eat. It's not too hot, not too cold, not too tough, not dried out, and
it melts in your mouth.
You're still thinking about it when you go to bed, and your mom gives you
a slice to take to school for your lunch on Monday.