Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of birth. The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude, in N, of the gravitational force exerted on a 3.00 kg baby by a 90 kg father 0.150 m away at birth (assisting so he is close). N (b) Calculate the magnitude, in N, of the force on the baby due to Jupiter if it is at its closest to the Earth, some 6.29 ✕ 1011 m away, showing it to be comparable to that of the father. The mass of Jupiter is about 1.90 ✕ 1027 kg. Other objects in the room and the hospital building also exert similar gravitational forces.

Explanation:

The force of attracting between two masses are given as

F=GM1M2/r²

Mass of boy M1=3kg

Mass of Father M2=90kg

distance apart r=0.15m

Gravitational constant

G=6.67×10-¹¹Nm²/kg²

F=6.67×10-¹¹×3×10/0.15²

F=8.8933×10^-8N

b. The force between the baby and Jupiter

Mass of Jupiter M1=1.9×10^27kg

Mass of baby M2=3kg

Distance apart (r)=6.29×10¹¹m.

F=GM1M2/r²

F=6.67×10-¹¹×3×1.9×10^27/(6.29×10¹¹)²

F=9.61×10^-7N

The force of attraction is higher compare to the force of attraction of the father and baby

The ratio of the comparison

F/F=9.61E-7/8.8933E-8

The force of gravity due to Jupiter is greater than that of the father by a factor of 10.8

d

explanation:

v=uf/(u-f)

= 5.10/(5-10) convex lens has positive focal length

=50/-5

=-10 cm (formed at other side)

when a device is used in a circuit in which the voltage is 81 v, the current flowing through the device is 3 a. what is the resistance of the device?

a. 27 ω

b. 40.5 a

c. 243 ω

d. 243 a

the correct answer is a. 27