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suter [353]
2 years ago
5

determine the magnitude and direction of the resultant for a combination of the vectors A: 10.1m, 60 degrees B: 7.3m, 275 degree

s
Physics
1 answer:
quester [9]2 years ago
5 0

Answer:

5.87 m, 75.5°

Explanation:

Let's say C is the resultant vector.

The x component is the sum of the x components of A and B.

Cx = Ax + Bx

Cx = 10.1 cos 60° + 7.3 cos 275°

Cx = 5.69

The y component is the sum of the y components of A and B.

Cy = Ay + By

Cy = 10.1 sin 60° + 7.3 sin 275°

Cy = 1.47

The magnitude is found with Pythagorean theorem, and the angle is found with trigonometry.

C² = Cx² + Cy²

C² = 5.69² + 1.47²

C = 5.87

θ = atan(Cy / Cx)

θ = atan(5.69 / 1.47)

θ = 75.5°

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Answer:

T_{f} = 85.7 ° C

Explanation:

For this exercise we will use the calorimetry heat ratios, let's start with the heat lost by the evaporation of coffee, since it changes from liquid to vapor state

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Where m is the evaporated mass (m = 2.00 103-3kg) and L is 2.26 106 J / kg, where we use the latent heat of the water

     Q₁ = 2.00 10⁻³ 2.26 10⁶

     Q1 = 4.52 10³ J

Now the heat of coffee in the cup, which does not change state is

     Q coffee = M c_{e} ( T_{f} -T_{i})

Since the only form of energy transfer is terminated, the heat transferred is equal to the evaporated heat

    Qc = - Q₁

    M ce (T_{f} -T_{i}) = - Q₁

The coffee dough left in the cup after evaporation is

    M = 250 -2 = 248 g = 0.248 kg

   T_{f} -Ti = -Q1 / M c_{e}

   T_{f} = Ti - Q1 / M c_{e}

Since coffee is essentially water, let's use the specific heat of water,

    c_{e}= 4186 J / kg ºC

Let's calculate

     T_{f} = 90.0 - 4.52 103 / (0.248 4.186 103)

     T_{f} = 90- 4.35

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     T_{f} = 85.7 ° C

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2 years ago
Look at the variables for this lab. Which variable would we have to change in order to change the amount of current flowing thro
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Where are the variables from the lab?
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What was done to test if Comets are responsible for 1/2 the Earth's water?
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✯Hello✯

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4 0
3 years ago
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Which color of light is diffracted at a greater angle from a diffraction grating, red or yellow light?
topjm [15]
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3 0
3 years ago
A ball is droped from a height of 16m how much time will pass before the ball hits the ground​
sergey [27]

Answer:

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Explanation:

The ball droped, will freely fall under gravity.

Hence we use free fall formula to calculate the time by the ball to hit the ground

h= \frac{1}{2}g{t}^{2}

Where h is the height from which the ball is droped, g is the acceleration due to gravity that acted on the ball, and t is the time taken by the ball to hit the ground.

From the question,

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Also, let take

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\frac{32}{9.8}= \frac{ 9.8{t}^{2} }{9.8}

\implies{t}^{2} =3.265

square root both sides, we obtain

\implies t= \sqrt{3.265}

t=1.8s

4 0
3 years ago
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