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Angelina_Jolie [31]
3 years ago
9

A good baseball pitcher can throw a baseball toward home plate at 87 mi/h with a spin of 1710 rev/min. How many revolutions does

the baseball make on its way to home plate? For simplicity, assume that the 60 ft path is a straight line.
Physics
1 answer:
otez555 [7]3 years ago
4 0

Explanation:

First, convert 87 mi/h to ft/min.

87 mi/h × (5280 ft/mi) × (1 h / 60 min) = 7656 ft/min

The time to reach the home plate is:

t = 60 ft / 7656 ft/min

t = 0.00784 min

The number of revolutions made in that time is:

n = 1710 rev/min × 0.00784 min

n = 13.4 rev

Rounding to 2 significant figures, the ball makes 13 revolutions.

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A circuit has a current of 1.2 A. If the voltage decreases to one third of its original amount while the resistance remains cons
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Show that the effective force constant of a series combination is given by 1keff=1k1+1k2. (Hint: For a given force, the total di
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Answer:

1keff=1k1+1k2

see further explanation

Explanation:for clarification

Show that the effective force constant of a series combination is given by 1keff=1k1+1k2. (Hint: For a given force, the total distance stretched by the equivalent single spring is the sum of the distances stretched by the springs in combination. Also, each spring must exert the same force. Do you see why?

From Hooke's law , we know that the force exerted on an elastic object is directly proportional to the extension provided that the elastic limit is not exceeded.

Now the spring is in series combination

F\alphae

F=ke

k=f/e.........*

where k is the force constant or the constant of proportionality

k=f/e

f_{eff} =f_{1} +f_{2}............................1

also for effective force constant

divide all through by extension

1) Total force is

Ft=F1+F2

Ft=k1e1+k2e2

F = k(e1+e2) 2)

Since force on the 2 springs is the same, so

k1e1=k2e2

e1=F/k1 and e2=F/k2,

and e1+e2=F/keq

Substituting e1 and e2, you get

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At midnight, the temperature was -8 degrees.
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The horizontal or x component of the vector is 53.5 m.

<h3>What is the x component?</h3>

We know that a vector quantity must posses both magnitude and direction. In this case, of a vector is inclined at an angle then the vector could have a vertical and a horizontal component. Recall that vector may have have;

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The horizontal component of the vector is V cos θ where V is the numerical value of the vector.

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