Answer:
E)The gravitational force increases by a factor of 4.
Explanation:
Isaac Newton presented the law of Universal Gravitation in his book published in 1687, "Philosophiae Naturalis Principia Mathematica". According to this Newton's law, the more mass the objects possess, the greater the force of attraction, and the closer they are to each other, the greater that force will be.
All material particles and all bodies attract each other simply by having mass, in direct proportion to their masses.<u> Gravity has an infinite theoretical scope; but, the force is greater if the objects are close, and while they are moving away that force loses intensity in proportion to the square of the distance that separates the bodies</u>. For example, if one object moves away from another three times the distance, then the force of gravity is reduced to the ninth part or vice versa if the distance between objects decreases with a factor of 2, the gravitational force increases a factor of 4.
Newton's law of universal gravitation is expressed as follows
:
Fg = G * M1 * M2 / (r12)^2
Where:
Fg: gravitational force
G: it is the universal gravitation constant and is worth approximately 6,674 * 10 -11
M1 and M2: mass of objects
r12: distance between objects
Answer: 9.8N
Explanation: The velocity of a sound wave (v), tension on the string (T) and mass per unit length (u) are all related by the formulae below
T = v² * u
Where T is tension in Newton (N), v is velocity of sound waves in meter per seconds (m/s) and u is mass per unit length in kilogram per meter (kg/m)
u = mass of chord / length of chord
u = 0.44/ 8.1
u = 0.1 kg/m
Velocity of sound waves (v) =length of chord / time taken for wave to travel
v = 8.1 / 0.82 = 9.9m/s
Tension is calculated below using the formula
T = v² * u
T = (9.9)² x 0.1
T= 9.8N
Answer:
A transformer that increases the voltage from primary to secondary (more secondary winding turns than primary winding turns) is called a step-up transformer. Conversely, a transformer designed to do just the opposite is called a step-down transformer.
Explanation:
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Answer:
Explanation:
Given
Speed of Primary wave
Speed of secondary wave
difference in timing of two waves are
Suppose both travel a distance of d km then
Subtract (ii) from (i)
Answer:
Explanation:
Given that,
Current in wire are 1.3A and 3.15A
Distance between wire is d= 2.25cm
d = 2.25/100 = 0.025m
Force per unit length F/l?
Let us consider the field produced by wire 1 and the force it exerts on wire 2 (call the force F2).
The field due to I1 at a distance r is given to be
B1 = μo• I1 / 2πr
This field is uniform along wire 2 and perpendicular to it, and so the force F2 it exerts on wire 2 is given by
F=ILBsinθ
with sinθ=1:
F2=I2 • L •B1
By Newton’s third law, the forces on the wires are equal in magnitude, and so we just write F for the magnitude of F2. (Note that F1=−F2.) Since the wires are very long, it is convenient to think in terms of F/l, the force per unit length. Substituting the expression for B1 into the last equation and rearranging terms gives
F/l = μo• I1• I2 / 2πr
Where μo is constant
μo = 4π×10^7 Tm/A
Then,
F/l = μo• I1• I2 / 2πr
F/l = 4π ×10^-7 × 1.3×3.15/(2π×0.025)
F/l = 3.276×10^-5 N/m
the magnitude of the force per unit length that one wire exerts on the other is 3.276×10^-5 N/m