After rolling halfway down an incline a marble's kinetic energy is

After you pick up a spare, your bowling ball rolls without slipping back toward the ball rack with a linear speed of 2.85 m/s. T

motikmotik

Answer:

V' = 0.84 m/s

Explanation:

given,

Linear speed of the ball, v = 2.85 m/s

rise of the ball, h = 0.53 m

Linear speed of the ball, v' = ?

rotation kinetic energy of the ball

$KE_r = \dfrac{1}{2}I\omega^2$

I of the moment of inertia of the sphere

$I = \dfrac{2}{5}MR^2$

v = R ω

using conservation of energy

$KE_r = \dfrac{1}{2}( \dfrac{2}{5}MR^2)(\dfrac{V}{R})2$

$KE_r = \dfrac{1}{5}MV^2$

Applying conservation of energy

Initial Linear KE + Initial roational KE = Final Linear KE + Final roational KE + Potential energy

$\dfrac{1}{2}MV^2 + \dfrac{1}{5}MV^2 = \dfrac{1}{2}MV'^2 + \dfrac{1}{5}MV'^2 + M g h$

$0.7 V^2 = 0.7 V'^2 + gh$

$0.7\times 2.85^2 = 0.7\times V'^2 +9.8\times 0.53$

V'² = 0.7025

V' = 0.84 m/s

the linear speed of the ball at the top of ramp is equal to 0.84 m/s

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4 what is the difference between an array's size declarator and a subscript?

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What is the difference between asize declarator and a subscript? The size declarator is ... When writing a function that accepts a two-dimensional array as an argument, which size declarator must you provide in the parameter for thearray? The second size ...

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The car has a mass of 0·50 kg. The boy

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Answer:

A solenoid is a type of electromagnet, the purpose of which is to generate a controlled magnetic field through a coil wound into a tightly packed helix. The coil can be arranged to produce a uniform magnetic field in a volume of space when an electric current is passed through it.

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What is the electric potential at a point between the 2.5-ω and 5.5-ω resistors, if the electric potential at the positive termi

algol13

If the +12V is on one side of the 2.5 ohm R then.............

V = (2.5/8) x 12 otherwise......

V = (5.5/8) x 12

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The sound wave produced from playing the A key one octave above the "Middle C" on the plano produces a sound wave with a frequen

natita [175]

Answer:

Frequency- number of wave cycles that occur in a given amount of time.

Pitch- number of wavelengths in a given amount of time.

Amplitude- fluctuation or displacement of a wave from its mean value. That means how high or low they are away from the center line.

Volume- The perception of loudness from the intensity of a sound wave. The higher the intensity of a sound, the louder it is perceived in our ears, and the higher volume it has.

Wavelength- the distance between the tops of the "waves".

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