Answer:
The force of attraction between them will be 16times as great.
Explanation:
According to the law of gravitation, the force experienced by both students is expressed as shown;
Fo = GMm/d²...(1)
M and m are the masses of the students
d is the initial distance between them
G is the gravitational constant.
If they move so that the distance between them is now one-quarter as great as it was before, the new distance between them will be 1/4 of initial distance 'd' i.e d/4
The new force that will exist between them will be;
F = GMm/(d/4)²
F = GMm/(d²/16)
F = 16GMm/d² ...(2)
Dividing equation 2 by 1, we have;
F/Fo = {16GMm/d²}/GMm/d²
F/Fo = 16GMm/d² × d²/GMm
F/Fo = 16
F = 16Fo
This shows that if the distance between them is one quarter as great ad before, the force of attraction between them will be 16times as great.
Answer:
the workdone = 4420.78 J
Explanation:
The work done raising the rope.
Mass of the rope in the i-th subinterval is 0.8Δh and the work done raising this to the top is :
0.8Δh × 9.8 ×(13 -hi)
= 7.84 (13-hi) Δh
The total work done raising the rope is thus illustrated as :
7.84 (13-hi) Δh
∫ 7.84 (13-hi) dh (from 0 to 13)
= -7.84 (1/2)(13 - h)² (from 0 to 13)
= 662.48 J
The mass of the water mi at height hi is given as mi = 39 - 3hi &
the workdone raising this through the distance Δh is 9.8(39 - 3hi)Δh
Thus, the total work done raising the water is :
9.8(39 - 3hi)Δh
∫ 9.8 (39 - 3h) (from 0 to 13)
= -9.8 (1/6) (39 -3 h)² (from 0 to 13)
= 2484.30 J
The work done raising the bucket is 10 × 13 ×9.8 = 1274 J ,
The total work in raising the rope and the bucket of water is (1274 + 662.48 + 2484.30) J
= 4420.78 J
Thus, the workdone = 4420.78 J
Answer:
0.0016 T
Explanation:
Parameters given:
Diameter of wire = 5 mm = 0.005 m
Radius of wire, R = 0.0025 m
Number of turns, N = 200
Current through the wire, I = 0.10A
The magnitude of the magnetic field is given as:
B = (u₀NI) / (2πR)
Where u = magnetic permeability of free space.
B = (1.257 * 10⁻⁶ * 200 * 0.1) / (2 * π * 0.0025)
B = 0.0016 T
The magnitude of the Magnetic field is 0.0016 T.
Answer:
of motivations to give a socially desirable response
Explanation:
The bogus pipeline is nothing but a polygraph machine which is fake.
With the help of a polygraph test it can be determined whether a person is telling the truth. This is done by measuring physiological indicators of a human being such as blood pressure, respiration, pulse, and skin conductivity.
The bogus pipeline appears to be like a real polygraph machine. It is assumed that people will be truthful as they believe that the machine is real. Nowadays, it is used to measure attitude towards a certain stimulus.