Since we can't see the image the teacher has provided, we must deduce its content based on clues from the answer choices. The image likely illustrates an atom containing 3 protons and 3 neutrons in the nucleus, along with 3 electrons orbiting it. If that is the case, Mike is correct (first choice) because the atomic number indicates the number of protons present in an atom. Since there are 3 protons, it corresponds to lithium, which has an atomic number of 3. The second choice is false, as electrons do not factor into atomic mass. The third and fourth options are also incorrect; regrettably, Joan does not grasp the concepts accurately.
Answer:
The horizontal distance d that the ball covers before it lands is 1.72 m.
Explanation:
Given,
Height of ramp 
Height of bottom of ramp 
Diameter = 0.17 m
We need to determine the horizontal distance d the ball travels before landing.
We need to calculate the time
Using the equation of motion
Next, we can find the ball's velocity
Using the kinetic energy formula
By applying the conservation of energy
We substitute the values into the equation
Next, we determine the horizontal distance d the ball travels before landing
Using the distance formula
Where. d = distance
t = time
v = velocity
We substitute the values into the formula
Thus, the horizontal distance d that the ball travels before it lands is 1.72 m.
Answer:
20 cm
Explanation:
The electric potential energy U is calculated with the formula U = kq₁q₂/r, where q₁ = 5 nC (5 × 10⁻⁹ C) and q₂ = -2 nC (-2 × 10⁻⁹ C) and r is determined as √(x - 2)² + (0 - 0)² + (0 - 0)² = x - 2. This leads to U = -0.5 µJ (-0.5 × 10⁻⁶ J), where k = 9 × 10⁹ Nm²/C².
Thus, solving for r gives us r = kq₁q₂/U
which leads to x - 2 = kq₁q₂/U
Then, rearranging gives x = 0.02 + kq₁q₂/U m
So, x = 0.02 + 9 × 10⁹ Nm²/C² × 5 × 10⁻⁹ C × -2 × 10⁻⁹ C/-0.5 × 10⁻⁶ J
Resulting in x = 0.02 - 90 × 10⁻⁹ Nm²/-0.5 × 10⁻⁶ J
This simplifies to x = 0.02 + 0.18 = 0.2 m, or 20 cm
The required duration is 16.1 minutes. To determine the heat needed to raise the temperature, we must calculate the following amounts, where Q represents the required heat, m stands for mass, V represents the volume, C signifies specific heat, and ΔT indicates temperature change. After substituting the provided values into the formula and calculating, the next step is determining the required time based on the formula t = Q/P, where P is given as 1500 W. Ultimately, we find that the time needed is 16.1 minutes.
