The height from which the glasses fell is s = 23.72 m and the impact speed is v = 21.56 m/s². Explanation: Using the time taken to hit the ground (t) = 2.2 seconds, we can apply the formula s = u t + 0.5 g t² with initial velocity u = 0 m/s and g = 9.8 m/s²: s = 0 + 0.5 × 9.8 × 2.2², resulting in s = 23.72 m. For the impact velocity, we use the equation v = √(2gh), yielding v = √(2 × 9.8 × 23.72) = √464.912, leading to v = 21.56 m/s².
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.
The well-known equation...
E = m c²... does not address the origin of the mass involved.
Converting 1 kg of any mass entirely into energy generates
(1kg) · (c²) Joules of energy.
E = (1 kg) · (c²) = (1 kg) · (299,792,458 m/s)²
E = 8.9876 x 10¹⁶ Joules
To simplify, this equates to the energy needed to keep a 100-watt light bulb illuminated for about 10,402,259,010 days.
(This is roughly 28.5 million years, based on the current understanding of days and years.)
The ball covers a horizontal distance of 0.902 meters. The trajectory of a kicked football adheres to a quadratic equation expressed as: f(x), where f(x) indicates the vertical distance in feet, and x signifies how far the ball travels horizontally. To compute the distance the ball will advance before striking the ground, we set the condition f(x) = 0. Upon solving this quadratic equation, we find that the horizontal distance traveled by the ball is: x = -0.902 meters, leading us to conclude that it travels 0.902 meters across the field.
Response:
2.5kN.m
Details:
Torque relates directly to the pitch diameter
= Ta/Tb= Da/Db
For 120/Tb= 0.25/0.5
This gives Tb= 2.469kN.m, roughly 2.5kN.m
