Determine the force of gravity or weight of each of the following objects or systems. Use
1 answer:
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The resistance of the sample is
Explanation:
The relationship between resistance of a material and temperature is given by the equation
where
is the resistance at the temperature
is the temperature coefficient of resistance
For the sample of nickel in this problem, we have:
when the temperature is
While the temperature coefficient of resistance of nickel is
Therefore, the resistance of the sample when its temperature is
is
Learn more about resistance:
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(a) Since the lake has a circular shape, the distance they traveled is exactly 3/4 of a circumference. The radius of the lake is 2.51 km, and the circumference is given by 
, therefore the distance covered is
(b) We can consider the lake to be on a xy-plane with the origin of the axes being at the center of the lake. In this system of coordinates, the starting point of the motion is at the west side of the lake, so at coordinates (-2.51 km,0). The final point is after 3/4 of circumference, therefore at the north side, at coordinates (0, 2.51 km).
So we can calculate the magnitude of the displacement as
(c) Considering only the initial and final point of the motion, the couple moved 2.51 km north (on the x-axis) and 2.51 km east (on the y-axis). Therefore, we can calculate the angle of the displacement with respect to the east direction:
from which
(b) We can consider the lake to be on a xy-plane with the origin of the axes being at the center of the lake. In this system of coordinates, the starting point of the motion is at the west side of the lake, so at coordinates (-2.51 km,0). The final point is after 3/4 of circumference, therefore at the north side, at coordinates (0, 2.51 km).
So we can calculate the magnitude of the displacement as
(c) Considering only the initial and final point of the motion, the couple moved 2.51 km north (on the x-axis) and 2.51 km east (on the y-axis). Therefore, we can calculate the angle of the displacement with respect to the east direction:
from which
Answer:
M = 1.98g
Explanation:
Please see the attachment below.
For the mass to balance the force of repulsion, the gravitational force on the mass (its weight) must equal the magnetic force of repulsion between the straight rods.
So
Mg = μo ×I ×I' × L/2πr
M = μo ×I ×I' × L/2πrg
Given
I = I' = 18A
L = 60cm = 0.6m
r = 2mm = 2×10-³m
μo = 4π×10-⁷Tm/A
g = 9.8m/s²
M = (4π×10-⁷ × 18² × 0.6)/(2π×2×10-³ ×9.8) = 1.98 ×10-³ kg.
