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horrorfan [7]
3 years ago
14

Shuffle a deck of cards and turn over the first card. What is the sample space of the experiment? How many outcomes are in the e

vent that the first card is a heart?
Physics
1 answer:
True [87]3 years ago
5 0

Answer:

The sample space contain 52 entities as shown in explanation.

The event that first card is a heart, contains 13 outcomes as shown in the explanation.

Explanation:

The sample space will contain 52 entities as follows:

Sample Space = {Heart 1, Heart 2,Heart 3,Heart 4,Heart 5,Heart 6,Heart 7,Heart 8,Heart 9,Heart Jack,Heart Queen, Heart King,Heart A,Spade 1, Spade 2,Spade 3,Spade 4,Spade 5,Spade 6,Spade 7,Spade 8,Spade 9,Spade Jack,Spade Queen, Spade King,Spade A, Diamond 1, Diamond 2,Diamond 3,Diamond 4,Diamond 5,Diamond 6,Diamond 7,Diamond 8,Diamond 9,Diamond Jack,Diamond Queen, Diamond King,Diamond A, Club 1, Club 2,Club 3,Club 4,Club 5,Club 6,Club 7,Club 8,Club 9,Club Jack,Club Queen, Club King,Club A}

There will be 13 outcomes in the event that first card is a heart, as follows:

Event(first card hearts) = {Heart 1, Heart 2,Heart 3,Heart 4,Heart 5,Heart 6,Heart 7,Heart 8,Heart 9,Heart Jack,Heart Queen, Heart King,Heart A}

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Answer:

Explanation:

The force exerted in a magnetic field is given as

F = q (v × B)

Where

F is the force entered

q is the charge

v is the velocity

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Given that,

The magnetic field is

B = 2•i + 4•j. T

The velocity of the electron is

v = 2•i + 6•j + 8•k. m/s

Also, the charge of an electron is

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Then note that,

V×B is the cross product of the speed and the magnetic field

Then,

F = q (V×B)

F = -1.602 × 10^-19( 2•i + 4•j +8•k × 2•i + 4•j)

Note

i×i=j×j×k×k=0

i×j=k. j×i=-k

j×k=i. k×j=-i

k×i=j. i×k=-j

F = -1.602 × 10^-19[(2•i + 4•j +8•k) × (2•i + 4•j)]

F = -1.602 × 10^-19 [2×2•(i×i) + 2×4•(i×j) + 4×2•(j×i) + 4×4•(j×j) + 8×2•(k×i) + 8×4•(k×j)]

F = -1.602 × 10^-19[4•0 + 8•k + 8•-k + 16•0 + 16•j + 32•-i]

F = -1.602 × 10^-19(0 + 8•k - 8•k + 0 + 16•j - 32•i)

F = -1.602 × 10^-19(16•j - 32•i)

F = -1.602 × 10^-19 × ( -32•i + 16•j)

F = 5.126 × 10^-18 •i - 2.563 × 10^-18 •j

Then, the x component of the force is

Fx = 5.126 × 10^-18 N

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3 years ago
Shanika is an engineer at an amusement park who is experimenting with changes to the setup for a magnetic roller coaster ride. I
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Explanation:

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3 years ago
What is black body radiation? Explain in detail.
tangare [24]

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hope it helps

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2 years ago
Find the force on an object which has the mass of 20kg and an acceleration of 10m/s
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Answer:

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3 years ago
A 6.0-kg box slides down an inclined plane that makes an angle of 39° with the horizontal. If the coefficient of kinetic frictio
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Answer:

a. 3.1 m/s^2

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\mu_k = 0.40 is the coefficient of friction

R is the normal reaction  

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R-mg cos \theta =0

From the 2nd equation, we get an expression for the reaction force:

R=mg cos \theta

And substituting into the 1st equation, we can find the acceleration:

mg sin \theta - \mu_k mg cos \theta = ma

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