Answer: Charge = -2.4x10^-9 Coulombs
Explanation:
The charge of one electron is e = -1.6x10^-19 C
Then, the charge of 1.5 x 10^10 electrons is equal to 1.5 x 10^10 times the charge of one electron:
Here i will use the relation (a^b)*(a^c) = a^(b + c)
Charge = ( 1.5 x 10^10)*( -1.6x10^-19 C) = -2.4x10^(10 - 19) C
Charge = -2.4x10^-9 C
The kinetic energy of the cart is 24 J.
<u>Explanation:</u>
The acceleration of a given mass from rest to the velocity is known as kinetic energy. It gains energy from acceleration and remains in this state until the speed of the object changes.
The kinetic energy is the given by,
K.E = 1/2 mv^2
Given the mass m = 3 kg, v = 4 m / s.
K.E = 1/2
3
(4)^2
K.E = 24 J.
<h2>
Weight of astronaut 2450 miles above the Earth is 80.38 pounds</h2>
Explanation:
Given that gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object and the center of the Earth.

Where F is gravitational force between an object and the Earth, r is the distance from the object and the center of the Earth and k is a constant.
Radius of Earth = 4000 miles
In case 1 an astronaut weighs 209 pounds on the surface of the Earth,

Now we need to find weight of astronaut 2450 miles above the Earth
r = 4000 + 2450 = 6450 miles

Weight of astronaut 2450 miles above the Earth is 80.38 pounds
To solve this, we simply use trigonometry
the effective value of g along the 45° angle is
g eff = g / sin 45
g eff = g / (√2 / 2)
g eff = 2g / √2
g eff = g √2 ≈ 6.94 m/s²
Answer:
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