Given this circle puzzle what would angle 1-12 be? (Geometry)

A ball slides up a frictionless ramp. It is then rolled without slipping and with the same initial velocity up another frictionl

KATRIN_1 [288]

Answer:

Rolling case achieves greater height than sliding case

Step-by-step explanation:

For sliding ball:

- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.

- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.

- The ball slides it only has translational kinetic energy as follows:

ΔK.E = ΔP.E

0.5*m*v^2 = m*g*h

h = 0.5v^2 / g

For rolling ball:

- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:

ΔK.E = ΔP.E

0.5*m*v^2 + 0.5*I*w^2 = m*g*h

- Where I: moment of inertia of spherical ball = 2/5 *m*r^2

w: Angular speed = v / r

0.5*m*v^2 + 0.2*m*v^2 = m*g*h

0.7v^2 = g*h

h = 0.7v^2 / g

- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.

4 0

3 years ago

HELP PLEASE

Georgia [21]

Answer:

$\huge\boxed{\sf No}$

Step-by-step explanation:

Evan spent 20 hours doing homework last week

25 hours were spent this week.

<u>Let's see what 125% of 20 equals:</u>

= (125 / 100) * 20

= (125 / 10) * 2

= 125 / 5

= 25 hours

But,

<u>It is written that Evan thought he spent 125 % more than the last week which means:</u>

= (125% of 20) + 20

= 25 + 20

= 45 hours

He should've said that he has given 25% more time than the last week.

(<u>Note that:</u> 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)

$\rule[225]{225}{2}$

Hope this helped!

7 0

3 years ago

How would I do this? What would it be?

Igoryamba

Answer: $x=80$

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

$(x+8)+(2x+12)+(x+20)=360$

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

$(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360$

2. Now, subtract 40 from both sides of the equation:

$4x+40-(40)=360-(40)\\\\4x=320$

3. Finally, you must divide both sides of the equation by 4. Then:

$\frac{4x}{4}=\frac{320}{4}\\\\x=80$

7 0

3 years ago

john scored 15 points his first game. In his last game he scored 20 points. What was his percent of increase?

iVinArrow [24]

$\huge\mathrm{ \it{Answer࿐}}$

Increase = 20 - 15 = 5 points

$\boxed{ \% \: increase \: = \frac{5}{15} \times 100 }$

$\% \: \:increase = \frac{100}{3}$

$\% \: \:increase = 33.33$

_____________________________

$\mathrm{ \#TeeNForeveR}$

6 0

2 years ago

pedro took a total of 40 quizzes over the course of 5 weeks. how many weeks of school will pedro have to attend thsi quarter bef

Whitepunk [10]

Answer:

6 weeks

Step-by-step explanation:

6 0

3 years ago