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pentagon [3]
3 years ago
5

Suppose that a solid ball, a solid disk, and a hoop all have the same mass and the same radius. Each object is set rolling witho

ut slipping up an incline with the same initial linear (translational) speed. Which object goes farthest up the incline?
Physics
1 answer:
8090 [49]3 years ago
5 0

Answer:

Hoop will reach the maximum height

Explanation:

let the mass and radius of solid ball, solid disk and hoop be m and r  (all have same radius and mass)

They all  are rolled with similar initial speed v

by the law of conservation of energy we can write

K_{trans}+K_{rot}= P

for solid ball

[tex]\frac{1}{2}mv^2+\frac{1}{2}I_{ball}\omega^2= mgh_{ball}

putting I_{ball}=\frac{2}{5}mr^2 and \omega=\frac{v}{r} in the above equation and solving we get

h_{ball}= 0.071v^2

now for solid disk

[tex]\frac{1}{2}mv^2+\frac{1}{2}I_{disk}\omega^2= mgh_{disk}

putting I_{ball}=\frac{1}{2}mr^2 and \omega=\frac{v}{r} in the above equation and solving we get

h_{disk}= 0.076v^2

for hoop

[tex]\frac{1}{2}mv^2+\frac{1}{2}I_{hoop}\omega^2= mgh_{hoop}

putting I_{hoop}=mr^2 and \omega=\frac{v}{r} in the above equation and solving we get

h_{hook}= 0.10v^2

clearly from the above calculation we can say that the Hoop will reach the maximum height

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Texas has 4,015,000 beef cows in 2013. If one cow produced approx 209g of methane per day. How much methane was produced by the
morpeh [17]

Answer:

306,284,275,000

Explanation:

If 209g was made by 1 cow you would multiply 209 by 4,015,000 and if you are trying to find how much was made in a year get that number and multiply it by 365.

7 0
3 years ago
Ayan warms some hot chocolate in a microwave oven. Which reasoning explains how the particles that make up the hot chocolate dif
valkas [14]

Answer:

They move farther apart

Explanation:

When objects heat up they expand for example heating up a balloon makes it expand

4 0
3 years ago
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Put the following items in order of the scientific method:Draw conclusions. Ask a question. Develop a theory. Analyze data. Make
muminat
Ask a question
Make an observation
Develop a hypothesis
Experiment
Analyse data 
Develop a theory
Hope this helped. :)
6 0
3 years ago
hich of the following statements are true for magnetic force acting on a current-carrying wire in a uniform magnetic field?Check
leonid [27]

Explanation:

The magnetic force acting on a current carrying wire in a uniform magnetic field is given by :

F=I(L\times B)

or

F=ILB\ sin\theta

Where

\theta is the angle between length and the magnetic field

The magnetic force is perpendicular to both current and magnetic field. It is maximum when it is perpendicular to both current and magnetic field.

So, the correct options are :

  1. The magnetic force on the current-carrying wire is strongest when the current is perpendicular to the magnetic field lines.
  2. .The direction of the magnetic force acting on a current-carrying wire in a uniform magnetic field is perpendicular to the direction of the field.
  3. The direction of the magnetic force acting on a current-carrying wire in a uniform magnetic field is perpendicular to the direction of the current.
7 0
4 years ago
The Concorde's exterior is made of aluminum, which has acoefficient of linear expansion of At 15 degrees celsius, the Concorde m
Rom4ik [11]

Answer: D) 28 cm

Explanation:

This problem can be solved by the following equation:

\frac{\Delta L}{L_{o}}= \alpha \Delta T (1)

Where:

\Delta L is the change in the length of the outer skin of the Concorde

L_{o}=62.1 m is the initial length of the outer skin of the Concorde

\alpha=2.40(10)^{-5} \°C^{-1} is the coefficient of linear thermal expansion for aluminium

\Delta T=T_{f}-T_{o}=200\°C - 15\°C=185\°C is the variation in temperature

Isolating \Delta L:

\Delta L=\alpha \Delta T L_{o} (2)

\Delta L=(2.40(10)^{-5} \°C^{-1})(185\°C)(62.1 m) (3)

\Delta L=0.275 m \frac{100 cm}{1m}=27.5 cm (4)

Finally:

\Delta L=27.5 cm \approx 28 cm

3 0
4 years ago
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