For this question, we determine first the x and y components of the distances.
3 blocks north:
x - component = +3 ; y-component = 0
4 blocks northeast:
x - component = (cos 45°)(4 blocks) = 2.83 blocks
y - component = (cos 45°)(4 blocks) = 2.83 blocks
5 blocks west:
x-component = -5 ; y-component = 0
Then, we add up all the x-components and all the y-components
x-component (sum) = 0.83
y-component (sum) = 2.83
Then, we determine the magnitude of the block by the equation below.
m = √(x² + y²) = √(0.83² + 2.83²) ≈ 2.95 blocks
Thus, the displacement from the original position is approximately equal to 2.95 blocks.
Answer:
Right to left
Explanation:
From right hand thumb rule, the magnetic field at the centre of loop points out of the plane of paper. Thus the straight wire current should create magnetic field into the plane of paper at the centre. Hence the direction of current in long wire should be from right to left
Answer:
T=5797.8 K
Explanation:
Given that
Power P = 3.9 x 10²⁶ W
Radius ,r= 6.96 x 10⁸ m
We know that ,From Plank's law
P = σ A T⁴
σ = 5.67 x 10 ⁻⁸
A= Area ,T= Temperature ( in Kelvin)
Now by putting the values
T=5797.8 K
The temperature of surface will be 5797.8 K
Answer:
Explanation:
Let T be the temperature of an object at time t , then
dT / dt will be rate of change of temperature
According to newton's law of cooling
dT / dt = k ( T - T₂ )
where T₂ is temperature of surrounding , T is temperature of object , k is a constant .
dT / dt = k ( T - T₂ )
Given k = .4 , ambient temperature T₂ = 68⁰C
dT / dt = .4 ( T - 68 )
dT / ( T - 68 ) = .4 dt .
This is required differential equation .