Ask question

Ask question

All categories

3 years ago

8

A bowling ball has a mass of 3.7kg, a moment of inertia of 0.340992kg*m^2, and a radius of 0.48m. It rolls along the lane withou

t slipping at a linear speed of 3.2m/s. What is the total kinetic energy of the rolling ball. Answer in units of J.

1 answer:

Rzqust [24]3 years ago

3 0

Kinetic energy due to linear motion:

$E= \frac{1}{2}mv^2= \frac{1}{2}3.7(3.2)^2=18.944J$

The angular velocity is found by

$v=r \omega$

$\omega = \frac{v}{r}= \frac{3.2}{0.48} =6.667rad/s$

Kinetic energy due to rotational motion:

$E= \frac{1}{2}I \omega^2 = \frac{1}{2}0.340992(6.667)^2=7.5776J$
Then
$E_{total}=18.944J+ 7.5776J=26.5216J$

You might be interested in

Nuclear fusion occurs in stars.<br> a. True<br> b. False

AnnyKZ [126]

Stars<span> are powered by </span>nuclear fusion<span> in their cores, mostly converting hydrogen into helium. The production of new elements via </span>nuclear<span> reactions is called nucleosynthesis. A </span>star's<span> mass determines what other type of nucleosynthesis </span>occurs<span> in its core (or during explosive changes in its life cycle). READ THIS AND YOU WILL UNDERSTAND I THINK IS TRUE </span>

8 0

3 years ago

Read 2 more answers

Which list includes translucent objects only

Lunna [17]

Objects that let in light and blurry images are translucent.

Translucent is a term that refers to an adjective. This characteristic is the property of an object to allow the passage of light, without allowing visibility with high clarity through it.

This term is often confused with transparency. However, they differ because a transparent object lets light through easily and allows you to see clearly through it.

According to the above, objects that allow light to pass through but do not allow clear vision are translucent.

Learn more in: brainly.com/question/10626808

5 0

3 years ago

Suppose of methane are burned in air at a pressure of exactly and a temperature of . Calculate the volume of carbon dioxide gas

Licemer1 [7]

There are supposed to be numbers in these places:

" _____ of methane"

" ... pressure of exactly _____ "

" ... temperature of _____ "

I've seen a lot of questions with missing numbers before, but I think this is the first time I ever saw a question where even the number of significant digits to round the answer to is missing.

"Round your answer to _____ significant digits."

4 0

3 years ago

You push on a cart (18.0kg) at a 30 degree below horizontal angle. The coefficient of kinetic friction between the chair and the

podryga [215]

Given that force is applied at an angle of 30 degree below the horizontal

So let say force applied if F

now its two components are given as

$F_x = Fcos30$

$F_y = Fsin30$

Now the normal force on the block is given as

$N = Fsin30 + mg$

$N = 0.5F + (18\times 9.8)$

$N = 0.5F + 176.4$

now the friction force on the cart is given as

$F_f = \mu N$

$F_f = 0.625(0.5F + 176.4)$

$F_f = 110.25 + 0.3125F$

now if cart moves with constant speed then net force on cart must be zero

so now we have

$F_f + F_x = 0$

$Fcos30 - (110.25 + 0.3125F) = 0$

$0.866F - 0.3125F = 110.25$

$F = 199.2 N$

so the force must be 199.2 N

8 0

3 years ago

A container of gas molecules is at a pressure of 2 atm and has amass density of 1.7 grams per liter. All of the molecules in the

Tpy6a [65]

Answer:

The speed of nitrogen molecule is 1.87 m/s.

Explanation:

Given that,

Pressure = 2 atm

Density = 1.7 grams/liter

Atomic weight = 28 grams

We need to calculate the temperature

Using formula of idea gas

$PV=nRT$

$P=\dfrac{WRT}{VM}$

$P=\dfrac{\rho RT}{M}$

$T=\dfrac{PM}{\rho R}$

Put the value into the formula

$T=\dfrac{2\times28}{1.7\times0.0821}$

$T=401.2\ K$

We need to calculate the speed of nitrogen molecule

Using formula of RMS speed

$V_{rms}=\sqrt{\dfrac{3RT}{M}}$

$V_{rms}=\sqrt{\dfrac{3\times0.0821\times401.2}{28}}$

$V_{rms}=1.87\ m/s$

Hence, The speed of nitrogen molecule is 1.87 m/s.

5 0

3 years ago