Find the 12th term of the given explicit geometric formula.<br> f(n) =3(2)^ n-1

A hoop, a uniform solid cylinder, a spherical shell, and a uniform solid sphere are released from rest at the top of an incline.

Serjik [45]

Answer:

Step-by-step explanation:

Given

Hoop, Uniform Solid Cylinder, Spherical shell and a uniform Solid sphere released from Rest from same height

Suppose they have same mass and radius

time Period is given by

$t=\sqrt{\frac{2h}{a}}$ ,where h=height of release

a=acceleration

$a=\frac{g\sin \theta }{1+\frac{I}{mr^2}}$

Where I=moment of inertia

a for hoop

$a=\frac{g\sin \theta }{1+\frac{mr^2}{mr^2}}$

$a=\frac{g\sin \theta }{2}$

a for Uniform solid cylinder

$a=\frac{g\sin \theta }{1+\frac{mr^2}{2mr^2}}$

$a=\frac{2g\sin \theta }{3}$

a for spherical shell

$a=\frac{g\sin \theta }{1+\frac{2mr^2}{3mr^2}}$

$a=\frac{3g\sin \theta }{5}$

a for Uniform Solid

$a=\frac{g\sin \theta }{1+\frac{2mr^2}{5mr^2}}$

$a=\frac{5g\sin \theta }{7}$

time taken will be inversely proportional to the square root of acceleration

$t_1=k\sqrt{2}=1.414k$

$t_2=k\sqrt{\frac{3}{2}}=1.224k$

$t_3=k\sqrt{\frac{5}{3}}=1.2909k$

$t_4=k\sqrt{\frac{7}{5}}=1.183k$

thus first one to reach is Solid Sphere

second is Uniform solid cylinder

third is Spherical Shell

Fourth is hoop

3 0

3 years ago

Brent bought shirts for $50. Each shirt cost $10. How many shirts did he buy?

AVprozaik [17]

ANSWER: the man bought 5 shirts

6 0

2 years ago

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Make x the subject of the formula x/a -b=c

horrorfan [7]

Answer:

x ÷ a - b = c

x a-b both side

x = c(a-b)

or

x = ca - bc

7 0

2 years ago

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Joseph drove for hours at the speed of 40 km per hours he changed his speed to 65 km for the next 2 hours how far had Joseph dri

daser333 [38]

Answer:

The answer to your question is 450 km

Step-by-step explanation:

Data

First stage Second stage

speed 1 = 40 km/h speed 2 = 65 km/h

time 1 = 8 h time 2 = 2 h

Process

1.- Write the formula to calculate the speed

speed = distance / time

-Solve for distance

distance = speed x time

2.- Calculate the distance of the first stage

distance 1 = 40 x 8

distance 1 = 320 km

3.- Calculate the distance of the second stage

distance 2 = 65 x 2

distance 2 = 130 km

4.- Calculate the total distance

Total distance = 320 + 130

= 450 km

6 0

3 years ago

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A college finds that of the 861 students taking math, 525 students are business majors and 202 students are taking math and are

3241004551 [841]

Answer:

Step-by-step explanation:

202 students taking math and are business majors

only math, would be (861 - 202) = 659

only business majors, would be (525 - 202) = 323

so there are (659 + 323) = 982 that are math or business majors

5 0

3 years ago

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Find the 12th term of the given explicit geometric formula. f(n) =3(2)^ n-1