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#7 Two ropes pull a mass across a rough floor as shown below. The ropes have ide

ID: 1266028 • Letter: #

Question

#7 Two ropes pull a mass across a rough floor as shown below. The ropes have identical tensions T1=T2=25 N. Friction opposes the motion with a force of f=18 N. A) What is the net force acting on the mass? Three charged objects A, B and C are arranged as shown below. All three objects have the same magnitude of charge, 15 nC, but objects A and C are negatively charged while object B is positively charged. All the dashed line distances shown are the same, 5.0 cm. B) What is the Electric Field strength at the point marked with an, ?X?? C) If I put an object with charge + 5.0 nC at the point marked ?X?, what force would act on it? D) What is the same between part ?A? and part ?B??

Explanation / Answer

7)

A) Fnet = sqrt(T1^2 + T2^2 + 2*T1*T2*cos(60))

= sqrt(25^2 + 25^2 + 2*25*25*cos(60))

= 43.3 N <<<<------Answer


B) distance from B to x, d = 2*5*sin(60)

= 8.14 cm

= 0.0814 m

EA = EC = k*q/L^2

= 9*10^9*15*10^-9/0.05^2

= 54000 N/c

EAC = sqrt(EA^2 + EB^2 + 2*EA*EB*cos(60))

here, EA = EB

so, EAC = sqrt(3)*EA

= sqrt(3)*5400

= 93530 N/c (upward)

EB = k*q/d^2

= 9*10^9*15*10^-9/0.0814^2

= 20374 N/c (downward)


Enet = EAC - EB

= 93530 - 20374

= 73156 N/c (upward) <<<<------Answer

c) F = q*E

= 5*10^-9*73156

= 3.66*10^-4 N <<<<------Answer


D) Net force is upward <<<<------Answer