# The temperature within a thin plate with thermal conductivity of 10 W/m/K depends on position as given by the following expression: TT=(100 K)????????−xx2/????????xx 2cos�yy/????????yy�+300 K Where, Lx = 1 m, and Ly = 2 m. At the point (0.4 m, 1 m), find: a. The magnitude of the heat flux b. The direction of the heat flux

Heat flux = (598.3î + 204.3j) W/m²

a) Magnitude of the heat flux = 632.22 W/m²

b) Direction of the heat flux = 18.85°

Explanation:

- The correct question is the first image attached to this solution.

- The solution to this question is contained on the second and third images attached to this solution respectively.

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## Related Questions

1. A mass suspended from a spring oscillates vertically with amplitude of 15 cm. At what distance from the equilibrium position will the speed of the mass be 25% of its maximum speed?

The value of the distance is .

Explanation:

The velocity of a particle(v) executing SHM is

where, is the angular frequency, is the amplitude of the oscillation and is the displacement of the particle at any instant of time.

The velocity of the particle will be maximum when the particle will cross its equilibrium position, i.e., .

The maximum velocity() is

Divide equation (1) by equation(2).

Given, and . Substitute these values in equation (3).

What type of circuit measurement is made by placing a meters test leads in parallel with a deenergized component

If the component is DE-energized, meaning the whole device is
powered down, then the only thing you can measure with the meter-
probes on both ends of the component is its resistance.

If you have a fancy, expensive meter, then maybe you could measure
the component's capacitance or inductance.  I never had one of those.

The normal meter measures volts, amps, and ohms.  If you touch
the probes to both ends of the component and the circuit is energized,
then you measure the voltage across the component.  If the circuit is
DE-energized, then you're measuring the component's resistance.

(Note:  You have to know which one you're measuring, and set up the
meter properly.  For example, if the circuit is energized and you try to
measure resistance, it's possible that you could fry your meter.)

25% part (c) assume that d is the distance the cheetah is away from the gazelle when it reaches full speed. Derive an expression in terms of the variables d, vcmax and vg for the time, tc, it takes the cheetah to catch the gazelle.

maximum speed of cheetah is

speed of gazelle is given as

Now the relative speed of Cheetah with respect to Gazelle

now the relative distance between Cheetah and Gazelle is given initially as "d"

now the time taken by Cheetah to catch the Gazelle is given as

so by rearranging the terms we can say

so above is the relation between all given variable

A 10 kg block moving at 10 m/s in a direction 45 degrees above the horizontal. When it has fallen to a point that is 10 m below the initial point measured vertically (without air friction), the block's kinetic energy is closest to

The block's kinetic energy is closest to 1500 Joules.

### Kinetic energy :

The energy is always conserved.

So that, the total kinetic energy will be sum of initial potential energy and kinetic energy during falling.

Given that, mass(m)=10kg, v=10m/s, h=10m,g=10m/s^2

K.E=(1/2)mv^2 + mgh

K.E=(1/2)*10*100 + (10*10*10)

K.E=500 + 1000=1500Joule

The  block's kinetic energy is closest to 1500 Joules.

brainly.com/question/25959744

Kinetic energy = 1500 J

Explanation:

The computation of the block's kinetic energy is shown below:

As we know that

Conservation of energy is

PE_i + KE_i = PE_f + KE_f

where,

Initial Potential energy = PE_i = m gh = 10kg× 10m/s^2 × 10m = 1000 J

Initial Kinetic energy = KE_i = (0.5) m V^2 = (0.5) (10 kg) (10 m/s)^2 = 500 J

Final potential energy = PE_f = mgh = 0

As h = 0 which is at reference line

So

PE_i + KE_i = PE_f + KE_f

Now put these valeus to the above formulas

1000 J + 500 J = 0 + KE_f

After solving this

Kinetic energy = 1500 J

An ideal gas is at a temperature of 320 K. What is the average translational kinetic energy of one of its molecules

6.624 x 10^-21 J

Explanation:

The temperature of the ideal gas = 320 K

The average translational energy of an ideal gas is gotten as

=

where

is the average translational energy of the molecules

= Boltzmann constant = 1.38 × 10^-23 m^2 kg s^-2 K^-1

T is the temperature of the gas = 320 K

substituting value, we have

= = 6.624 x 10^-21 J

If you travel 2 km north, then travel 5 km south, what is your displacement?