Physics, 19.11.2019 05:31 mckennayoshz

Abowler releases a bowling ball with no spin, sending it sliding straight down the alley toward the pins. the ball continues to slide for some distance before its motion becomes rolling without slipping; what is the magnitude of this distance? assume the ball maintains an essentially constant speed of 5.90 m/s and that the coefficient of kinetic friction for the polished alley is 0.105.

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Answer from: shaylawhitacre

Time, t = 0.197 s

Solution:

As per the question:

Constant speed of the ball, v = 5.90 m/s

Coefficient of Kinetic friction, $\mu_{k} = 0.105$

Now,

the ball will initially rotate with some angular velocity and then slide without rolling.

Friction force, f = $\mu_{k}N$

where

N = mg = normal reaction

Thus

f = $\mu_{k}mg$ (1)

Now, consider the ball to be a solid sphere,

Moment of inertia of the ball, I = $\frac{2}{5}mR^{2}$ (2)

where

R = radius of the ball

Torque is given by:

$\tau = I\alpha$ (3)

where

$\alpha = angular\ acceleration$

Thus from eqn (1), (2) and (3):

$\alpha = \frac{5\mu_{k}g}{2R}$

Now, the time taken is given by kinematic eqn:

$\omega' = \omega + \alpha t$

$\omega' = 0 +\frac{5\mu_{k}g}{2R} t$

$\omega' = \frac{v}{r}$

$\frac{v}{r} = \frac{5\mu_{k}g}{2R} t$

t = $\frac{2\times 5.90}{5\times 1.05\times 9.8} = 0.197\ s$

Answer from: Quest

answer would be letter choice (a), a ball resting on a shelf. would be another example of potential energy > stored energy > not moving.

a ball spinning on a finger > kinetic energy > moving energy

a ball rolling on the ground > kinetic energy > moving energy

a ball flying through the air > kinetic energy > moving energy

hope that : )

Answer from: Quest

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

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