Answer:
= 4.3 × 10 ⁻¹⁴ m
Explanation:
The alpha particle will be deflected when its kinetic energy is equal to the potential energy
Charge of the alpha particle q₁= 2 × 1.6 × 10⁻¹⁹ C = 3.2 × 10⁻¹⁹ C
Charge of the gold nucleus q₂= 79 × 1.6 × 10⁻¹⁹ = 1.264 × 10⁻¹⁷C
Kinetic energy of the alpha particle = 5.28 × 10⁶ × 1.602 × 10⁻¹⁹ J ( 1 eV)
= 8.459 × 10⁻¹³
k electrostatic force constant = 9 × 10⁹ N.m²/c²
Kinetic energy = potential energy = k q₁q₂ / r where r is the closest distance the alpha particle got to the gold nucleus
r = ( 9 × 10⁹ N.m²/c² × 3.2 × 10⁻¹⁹ C × 1.264 × 10⁻¹⁷C) / 8.459 × 10⁻¹³
= 4.3 × 10 ⁻¹⁴ m
To calculate the gravitational force acting on an object given the mass and the acceleration due to gravity, use the following formula.
Fg = m • g
Fg = 1.3 kg • 9.8 m/s^2
Fg = 12.74 N or about 12.7 N.
The solution is C. 12.7 N.
a heater that produces lots of warm air which would include thermal energy or a kitchen stove
It depends on the brightness of its light—which is really just the sun's light reflecting off of the moon's<span> surface—and the earth's rotation. In order for the </span>moon<span> to be visible in the sky, it needs to be above the horizon. </span>
Explanation:
By using Einstein equation,
E = mc²
m = E/c²
As the sun's energy output remains constant, we are taking it as 3.839×10²⁶.
speed of light c = 299,729,458 m/s
by putting these values in above equation,
m = (3.839×10²⁶)/(299.729,458)²
m = 4.721×10⁹kg.
It is the mass that loss per second.
Now a year (including leap year) has 31,556,926 seconds. Thus the 10 billion years equal 1.348×10²⁷kg of total mass loss.
