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fiasKO [112]
3 years ago
15

Review Multiple-Concept Example 7 in this chapter as an aid in solving this problem. In a fast-pitch softball game the pitcher i

s impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. In one instance, the radius of the circle is 0.602 m. At one point on this circle, the ball has an angular acceleration of 64.1 rad/s2 and an angular speed of 13.0 rad/s. (a) Find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) Determine the angle of the total acceleration relative to the radial direction.
Physics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

108.8 m /s

θ = 21°

Explanation:

Centripetal acceleration = ω² R

=( 13 )² x .602

= 101.74 m/s²

tangential acceleration a_t = angular acceleration x R

= 64.1 x .602

= 38.58 m /s²

Total acceleration R

R² = ( 101.74 )² + ( 38.58 )²

R = 108.8 m /s

angle required be θ

Tanθ = tangential accn  / radial accn

= 38.58  / 101.74

θ = 21°

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Which of the following best explains why snow predictions by meteorologists are sometimes incorrect?
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3 years ago
You find an unmarked blue laser on your way to physics class. When you get to class you realize you can determine the wavelength
Ray Of Light [21]

Answer:

wavelength \lambda = 437.27 nm

Explanation:

given data

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distance D = 2.20 m

solution

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4 0
3 years ago
15 PLEASE HELP
sashaice [31]

Answer:

Ok, her position changed over time since the road is curved.

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6 0
3 years ago
A 190 N child is in a swing that is attached to ropes 2.10 m long. Find the gravitational potential energy of the child-Earth sy
Alekssandra [29.7K]

Answer:

a) Gravitational potential energy = 399 J

b) Gravitational potential energy = 66.5 J

c) Gravitational potential energy = 0 J

Explanation:

Hi there!

Please, see the attached figure for a better understanding of the problem.

a) When the ropes are horizontal, the height of the child, relative to the child's lowest position, is 2.10 m (see figure).

The gravitational potential energy is calculated as follows:

PE = mgh

Where:

PE = potential energy.

mg = weight of the child

h = height.

Then when the ropes are horizontal, the potential energy will be:

PE = 190 N · 2.10 m = 399 J

b) When the ropes make a 34.0° with the vertical, the height of the child is 2.10 m minus x (see figure). To find x, we can use trigonometry of right triangles:

cos angle = adjacent side / hypotenuse

cos 34.0° = x / 2.10 m

x = 2.10 m · cos 34.0° = 1.75 m

Then, the height of the child relative to the lowest position is

(2.10 m - 1.75 m) = 0.35 m

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3 years ago
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