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AnnyKZ [126]
3 years ago
7

Red Riding Hood sat down to rest and placed her 1.20-kg basket of goodies beside her. A wolf came along, spotted the basket, and

began to pull on the handle with a force of 6.40 N at an angle of 25° with respect to vertical. Red was not going to let go easily, so she pulled on the handle with a force of 12.5 N. If the net force on the basket is straight up, at what angle was Red Riding Hood pulling from the vertical? (show work)
Physics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

  117.6°

Explanation:

The vertical component of a force directed at some angle α from the vertical is ...

  F·cos(α)

We want the vertical components of the wolf's force (Fw) and Red's force (Fr) to total zero. So for some angle from vertical α, Red's force will satisfy ...

  Fw·cos(25°) + Fr·cos(α) = 0

  cos(α) = -Fw/Fr·cos(25°) ≈ -(6.4 N)/(12.5 N)·0.906308 ≈ -0.464030

  α ≈ arccos(-0.464030) ≈ 117.6°

Red was pulling at an angle of about 117.6° from the vertical.

_____

<em>Additional comment</em>

That's about 27.6° below the horizontal.

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1. A golf ball is hit at an angle of 40 degrees to the horizontal at a velocity of 24 m/s. Calculate the Viy.
WITCHER [35]

Answer:

See the answers below

Explanation:

In order to solve these problems, we must decompose the magnitudes of the velocities on the x & y-axes, using the angles that are given. It is important for a better understanding to look at the attached image and understand how the angles are located relative to the horizontal axis.

1.

The horizontal component of the angle can be found with the cosine function. While the vertical component can be found using the sine function of the angle.

Viy = 24*sin (40)

Viy = 15.42 [m/s]

2.

The horizontal component of the angle can be found with the cosine function.

Vix = 24*cos(40)

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3.

Vix = 55*cos(25)

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3 0
3 years ago
The weight y of a fiddler crab is directly proportional to the 1.25 power of the weight x of its claws. A crab with a body weigh
frez [133]

Answer:

The weight of body is 1.3040 gram.

Explanation:

Given that,

The weight y of a fiddler crab is directly proportional to the 1.25 power of the weight x of its claws.

Suppose a crab with a body weight of 1.8 gram has claws weighing 1.1 gram.

Estimate the weight of a fiddler crab with claws weighing 0.85 gram.

Determine the weight of crab body

We need to calculate the value of proportional constant

y\propto x^{1.25}

y=kx^{1.25}

k=\dfrac{y}{x^{1.25}}

Put the value into the formula

k=\dfrac{1.8}{1.1^{1.25}}

k=1.5978

We need to calculate the crab weight

y=kx^{1.25}

Here, x = 0.85 g

Put the value into the formula

y=1.5978\times(0.85)^{1.25}

y=1.3040\ gram

Hence, The weight of body is 1.3040 gram.

7 0
4 years ago
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