Average speed = (total distance covered) / (time to cover the distance)
Total distance = (77km + 66km) = 143 kilometers
Time to cover the distance = 2 hours
Average speed = (143 km) / (2 hours) = 71.5 km per hour
Using geometrical arguments, we can see that the angle of the inclined plane

is equal to the angle between Fg and the perpendicular force.
But the perpendicular force is the projection of Fg along the perpendicular axis, and Fg=mg, so the correct answer is
<span>C) F=mg cosΘ </span>
Answer:
39.375 A
Explanation:
To find the induced current, we use the relation
e = -ΔΦ/Δt, where
ΔΦ = change in magnetic flux of the bracelet
Δt = change in time, = 20 ms
Also, Φ = A.ΔB, such that
A = area of the bracelet, 0.005m²
ΔB = magnetic field strength of the bracelet = 1.35 - 4.5 = -3.15 T
ΔΦ = A.ΔB
ΔΦ = 0.005 * -3.15
ΔΦ = -.01575 wb
e = -ΔΦ/Δt
e = -0.01575 / 20*10^-3
e = 0.7875 V
From the question, the resistance of the bracelet is 0.02 ohm, so
From Ohms Law, I = V/R
I = 0.7875 / 0.02
I = 39.375 A
Answer:
Part a)

Part b)

Explanation:
Part a)
Energy required to raise the temperature of water from 17.8 degree C to 21.6 degree C is given by formula

here we know that
Here the volume of the water is given as

now the mass of water is


now the heat required is


Part b)
As we know that power is supplied at

so here we know

so here we have




<span>Answer: Va = 7,625 m/s
Vb = 7,404 m/s
Given:
A = 486,000 m
B = 901,000 m
G = 6.67428E-11 m^3/kg-s^2
M = 5.9736E+24 kg
r = 6,371,000 m
Recall that you need the actual orbital distance from the *center* of the Earth, giving radius plus altitude:
rA = 6,857,000 m
rB = 7,272,000 m
Equation:
V = SQRT { GM / r }
Solve for A
Va = SQRT { [ (6.67428E-11 m^3/kg-s^2) * (5.9736E+24 kg) ] / (6,857,000 m) }
Va = SQRT { [ 3.9869 m^3/s^2 ] / (6,857,000 m) }
Va = SQRT { 58,144,202 m^2/s^2 }
Va = 7,625 m/s
Solve for B
Vb = SQRT { [ (6.67428E-11 m^3/kg-s^2) * (5.9736E+24 kg) ] / (7,272,000 m) }
Vb = SQRT { [ 3.9869 m^3/s^2 ] / (7,272,000 m) }
Vb = SQRT { 54,826,016 m^2/s^2 }
Vb = 7,404 m/s</span>