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Vera_Pavlovna [14]
3 years ago
15

You pull the plunger back on a pinball machine. The spring is pulled back 25 cm from its rest position and has a spring constant

of 78 N/m. What speed will a 50.0 g ball in front of the spring reach when the spring has returned to its rest position?
Physics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

9.9 m/s

Explanation:

from the question we are given the following

length (L) = 25cm = 25 / 100 = 0.25m

spring constant (K) = 78 N/m

mass of the ball (m) = 50g = 50 / 1000 = 0.05 kg

At maximum compression all energy is potential energy and at maximum velocity all energy is kinetic energy, and from the conservation of energy the two energy must be he same. Therefore

potential energy at max compression = kinetic energy at max velocity

(1/2) x K x L^2 = (1/2) x m x V^2

(1/2) x 78 x 0.25^2 = (1/2) x 0.05 x V^2

V^2 = 97.6

V =  9.9 m/s

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A solid sphere of radius 40.0cm has a total positive charge of 26.0μC uniformly distributed throughout its volume. Calculate the
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The magnitude of the electric field for 60 cm is 6.49 × 10^5 N/C

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The spherical Gaussian surface is chosen so that it is concentric with the charge distribution.

As an example, consider a charged spherical shell S of negligible thickness, with a uniformly distributed charge Q and radius R. We can use Gauss's law to find the magnitude of the resultant electric field E at a distance r from the center of the charged shell. It is immediately apparent that for a spherical Gaussian surface of radius r < R the enclosed charge is zero: hence the net flux is zero and the magnitude of the electric field on the Gaussian surface is also 0 (by letting QA = 0 in Gauss's law, where QA is the charge enclosed by the Gaussian surface).

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