Physics: Two spheres are cut from a certain uniform rock. one has radius 4.50 cm. the mass of the other is five times greater. find its radius. a. 22.5 cm. b. 6.36 cm. c. 0.90 cm. d. 7.69 c

Two spheres are cut from a certain uniform rock.

tonta22

16.01.2022

D) 7.69 cm

Explanation:

As we know that both the sphere must have same density

So the volume of first sphere

$V = \frac{4}{3}\pi r^3$

$V = \frac{4}{3}\pi(4.50)^3$

now the mass of this sphere is given as

$m = \rho V$

$m = \rho(\frac{4}{3}\pi (4.50)^3)$

now we know that mass of other sphere is 5 times more than this

so we will have

m_1 = 5 m

$\rho(\frac{4}{3}\pi r^3) = 5\rho(\frac{4}{3}\pi (4.50)^3)$

r^3 = 5(4.50)^3

r = 7.69 cm

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2025batisteajibola

10.09.2020

7.05 Volts/m

Explanation:

L = length of the Nichrome wire = 44 cm = 0.44 m

V = Potential difference across the end of the wire = battery voltage = 3.1 Volts

E = magnitude of electric field inside the wire

Magnitude of electric field inside the wire is given as

$E = \frac{V}{L}$

Inserting the values

$E = \frac{3.1}{0.44}$

E = 7.05 Volts/m

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