To receive or just receiving the ball.
Answer:
hmax = 181.48m
Explanation:
In order to calculate the maximum height reached by the same ball in the moon, you first calculate the initial velocity of the ball by using the information about the maximum height on the Earth. You use the following formula:
(1)
hmax: maximum height reached by the ball in the Earth = 30m
vo: initial velocity of the ball = ?
g: gravitational acceleration on Earth = 9.8m/s^2
From the equation (1) you solve for vo:

Next, you use the same equation (1) but for the gravitational acceleration of the moon, which is given by:
g' = 1.62m/s^2

The same ball, with the same initial velocity, will reache a heigth of 181m in the moon.
Answer:
The magnitude of the magnetic torque on the coil is 1.98 A.m²
Explanation:
Magnitude of magnetic torque in a flat circular coil is given as;
τ = NIASinθ
where;
N is the number of turns of the coil
I is the current in the coil
A is the area of the coil
θ is the angle of inclination of the coil and magnetic field
Given'
Number of turns, N = 200
Current, I = 7.0 A
Angle of inclination, θ = 30°
Diameter, d = 6 cm = 0.06 m
A = πd²/4 = π(0.06)²/4 = 0.002828 m²
τ = NIASinθ
τ = 200 x 7 x 0.002828 x Sin30
τ = 1.98 A.m²
Therefore, the magnitude of the magnetic torque on the coil is 1.98 A.m²
Answer:
q = 3.87 x 10⁵ C
Explanation:
given,
Electric field, E = 8.60 x 10¹ = 86 N/C
radius of earth, R = 6371 Km = 6.371 x 10⁶ m
Coulomb constant, K = 9 x 10⁹ N · m²/C²
Charge on the earth = ?
the electric field at the point


inserting all the values

q = 3.87 x 10⁵ C
The electric charge on the earth is equal to 3.87 x 10⁵ C