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3 years ago

A ball is dropped from a height of 32 feet. it bounces and rebounds 80% of the height from which it was falling

Physics

2 answers:

n200080 [17]3 years ago

7 0

Answer:

d = 32*( 1 - 0.8^n) / 0.2 = 160*( 1 - 0.8^n)

Explanation:

Given:

- The initial height of the ball h_o = 32 ft

- The successive decrease in height after every bounce = 0.8*h

Find:

- The expression relating the total distance traveled by the ball for nth number of bounce.

Solution:

- The distance traveled by the ball upto n = 1, is = 32 ft

- The distance traveled by the ball upto n = 2, is = 32 + 2*32*.8 = 83.2

- The distance traveled by the ball upto n = 3, is = 83.2 + 2*32*.8*.8 = 124.16

- We can look for a pattern for the total distance traveled by geometric progression is as such:

d = a*( 1 - r^n) / ( 1 - r )

Where, r = 0.8 , and a = 32

d = 32*( 1 - 0.8^n) / 0.2 = 160*( 1 - 0.8^n)

Where, n = 1 , 2 , 3 , 4 , ......

Step2247 [10]3 years ago

5 0

Answer:

If it falls from 32 feet, how could the distance be 29 feet? Twelve bounces later, 58 is "obviously" incorrect as well. Eliminate those two before you do anything else.

The total distance up until that the nth bounce is

Sn = (32 - 32(.8)12) / (1 - .8) = 149.004883722... = 149

Explanation:

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Stells [14]

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3 years ago

If an electric wire is allowed to produce a magnetic field no larger than that of the Earth (0.503 X 104 T) at a distance of 15

dem82 [27]

Answer:

37.725 A

Explanation:

B = magnitude of the magnetic field produced by the electric wire = 0.503 x 10⁻⁴ T

r = distance from the wire where the magnetic field is noted = 15 cm = 0.15 m

i = magnitude of current flowing through the wire = ?

Magnetic field by a long wire is given as

$B = \frac{\mu _{o}}{4\pi }\frac{2i}{r}$

Inserting the values

$0.503\times 10^{-4} = (10^{-7})\frac{2i}{0.15}$

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6 0

3 years ago

A sealed beaker of what you are told is aqueous nickel sulfide was given to you by the local chemist and you put it on the windo

Masteriza [31]

Answer: D. It is a SUSPENSION

Explanation:

SUSPENSION

This is a combination of two or more single substances. The properties of the components involved are not however changed or lost as is the case with compounds.

For this reason this mixture can be separated due to sedimentation or filtering.

After a few days, this occurs in the aqueous nickel sulfide because the solid nickel sulfide is separating from the water.

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3 years ago

1. Which statement is true about natural

lara [203]

Answer:

1. D. They can be a substance, material, object or source of energy.

2. B. The properties will be different.

3. C. When two reactants form one product, the reaction is spontaneous.

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2 years ago

The internuclear distance between two closest Ar atoms in solid argon is about 3.8 A. The polarizability of argon is 1.66e-30 m3

oee [108]

Answer:

83.72 K

Explanation:

$\alpha$ = Polarizability of argon = $1.66\times 10^{-30}\ m^3$

I = First ionization = 1521 kJ/mol

r = Distance between atoms = 3.8 A

R = Gas constant = 8.314 J/mol K

T = Boiling point

Potential energy due to dispersion of gas is given by

$P=-\frac{3}{4}\frac{\alpha^2I}{r^6}\\\Rightarrow P=-\frac{3}{4}\frac{(1.66\times 10^{-30})^2\times 1521\times 10^3}{(3.8\times 10^{-10})^6}\\\Rightarrow P=-1044.01\ J/mol$

Kinetic energy is given by

$K=\frac{3}{2}RT$

The potential and kinetic energy will balance each other

$P=\frac{3}{2}RT\\\Rightarrow 1.04401\times 10^{-33}=\frac{3}{2}RT\\\Rightarrow T=\frac{1044.01\times 2}{3\times 8.314}\\\Rightarrow T=83.72\ K$

The boiling point of argon is 83.72 K

7 0

3 years ago