Physics, 02.04.2020 20:38 Nadi4753

The objects listed are placed at the top of a ramp and roll down to the bottom without slipping. Assuming that there is no air resistance, rank them in order from fastest average rolling speed to slowest. a. large marble b. basteball c. manhole cover d. wedding ring

Answers: 2

Show answers

Answers

The arrangement of the given objects in order of their increasing speed down the ramp is wedding ring > large marble > manhole cover > basketball.

Apply the principle of conservation of energy;

$\frac{1}{2} mv^2 \ + \ \frac{1}{2} I \omega ^2 = mgh$

where;

I is moment of inertia

The moment of inertia for the marble (a solid sphere);

$I = \frac{2}{5} mr^2$

The moment of inertia for the basketball (a hollow sphere);

$I = \frac{2}{3} mr^2$

The moment of inertia for the manhole cover (a solid cylinder);

$I = \frac{1}{2} mr^2$

The moment of inertia for the wedding ring (a hollow cylinder);

I = mr^2

$\frac{1}{2} mv^2 \ + \ \frac{1}{2} I (\frac{v}{r} )^2 = mgh\\\\\frac{1}{2} mv^2 \ + \ \frac{1}{2r^2} Iv^2 = mgh\\\\v^2 (m + \frac{I}{r^2} )= 2mgh\\\\v^2 = \frac{2mgh}{m + \frac{I}{r^2} } \\\\v = \sqrt{\frac{2mgh}{m + \frac{I}{r^2} } }$

The smaller the value of moment of inertia, the greater the value the speed of the object.

The arrangement of the given objects in order of their increasing speed down the ramp;

wedding ring > large marble > manhole cover > basketball

Learn more here:link

Answer from: jude3412

Explanation:

For each object, the initial potential energy is converted to rotational energy and translational energy:

PE = RE + KE

mgh = ½ Iω² + ½ mv²

For the marble (a solid sphere), I = ⅖ mr².

For the basketball (a hollow sphere), I = ⅔ mr².

For the manhole cover (a solid cylinder), I = ½ mr².

For the wedding ring (a hollow cylinder), I = mr².

If we say k is the coefficient in each case:

mgh = ½ (kmr²) ω² + ½ mv²

For rolling without slipping, ωr = v:

mgh = ½ kmv² + ½ mv²

gh = ½ kv² + ½ v²

2gh = (k + 1) v²

v² = 2gh / (k + 1)

The smaller the value of k, the higher the velocity. Therefore:

marble > manhole cover > basketball > wedding ring

Answer from: Quest

There is no graph to look at on here, but i shall explain them to you. a line graph is just in its title it’s a graph with a line running through the dots to show an increase or decrease. a bar graph is used to show how much or how little something is so a comparison. a scatter plot is used to graph points to tell the data. and i don’t know what a histogram is.

Answer from: Quest

The sample with the lowest specific heat capacity will have the greatest temperature increase. in this case, it would be platinum.

Other questions on the subject: Physics

Physics, 22.06.2019 17:30, jarteria0

Which of the following is the best name for mgcl2

Answers: 2

continue

Physics, 22.06.2019 20:30, nae467

Suppose a force of 60 n is required to stretch and hold a spring 0.1 m from its equilibrium position. a. assuming the spring obeys hooke's law, find the spring constant k. b. how much work is required to compress the spring 0.5 m from its equilibrium position? c. how much work is required to stretch the spring 0.6 m from its equilibrium position? d. how much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium? a. kequals 600

Answers: 2

continue

Physics, 22.06.2019 21:00, SmokeyRN

Ascientist wants to test ways to reduce pollution in lake . what is the bestway of doing this

Answers: 2

continue

Physics, 22.06.2019 23:50, elijah1090

Which property is expressed in distance units? o a. period o b. wavelength o c. speed o d. frequency

Answers: 2

continue

You know the right answer?

The objects listed are placed at the top of a ramp and roll down to the bottom without slipping. Ass...