Answer:

Explanation:
a = Orbital radius = 
T = Orbital period = 23.21 hours
G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²
From Kepler's third law we get

From the given data the mass of Saturn is 
Answer:
dz = 7.136 (answer)
Explanation:
given height for kate's kite = 50 ft (say y)
due to drift it move towards east = dx = 7 ft
string maximum length = 107 ft ( say z)
we have to find change in z
that is dz
it will form a right angle triangle for x , y and z where x is base y is height and z is hypotenuse
so we get according to Pythagoras Theorem
...............(i)
by derivative both side consider y as constant

from (i) equation

now put the value and find dz

after solving these we get
dz = 7.136 (answer)
Answer:
ΔΦ = -3.39*10^-6
Explanation:
Given:-
- The given magnetic field strength B = 0.50 gauss
- The angle between earth magnetic field and garage floor ∅ = 20 °
- The loop is rotated by 90 degree.
- The radius of the coil r = 19 cm
Find:
calculate the change in the magnetic flux δφb, in wb, through one of the loops of the coil during the rotation.
Solution:
- The change on flux ΔΦ occurs due to change in angle θ of earth's magnetic field B and the normal to circular coil.
- The strength of magnetic field B and the are of the loop A remains constant. So we have:
Φ = B*A*cos(θ)
ΔΦ = B*A*( cos(θ_1) - cos(θ_2) )
- The initial angle θ_1 between the normal to the coil and B was:
θ_1 = 90° - ∅
θ_1 = 90° - 20° = 70°
The angle θ_2 after rotation between the normal to the coil and B was:
θ_2 = ∅
θ_2 = 20°
- Hence, the change in flux can be calculated:
ΔΦ = 0.5*10^-4*π*0.19*( cos(70) - cos(20) )
ΔΦ = -3.39*10^-6
Answer:
The average power provided by the tension in the cable pulling the lift is = 714 W
Explanation:
Given data
Mass = 71 kg
Change in height = 123 m
When the lift moves in upward direction then in that case kinetic energy is constant & only potential energy changes.
Change in potential energy Δ PE = m g (
)
Δ PE = 71 × 9.81 × 123
Δ PE = 85670.73 J
Time = 2 min = 120 sec
So average power is given by



Therefore the average power provided by the tension in the cable pulling the lift is = 714 W
Answer:
97.9 Newtons
Explanation:
It take 4.45 newtons to lift 1 pound, so 4.45 * 22 = 97.9