The power of the popcorn-maker is calculated as 250 watts. Given that energy is 250J and the time duration is 1 second, the power equates to energy divided by time: Power = 250 ÷ 1, resulting in 250 watts.
The distance covered during the acceleration phase is d = 214.38 m. Given parameters include the acceleration of the object, a = -6.8 m/s², initial speed, u = 54 m/s, and final speed, v = 0. The equation for acceleration is defined as a = (v - u) / t. Therefore, rearranging gives t = (v - u) / a, resulting in t = (0 - 54) / (-6.8) = 7.94 s. The average speed of the object is V = (54 + 0)/2 = 27 m/s. The displacement is calculated as d = V x t = 27 x 7.94 = 214.38 m. Thus, the total distance traveled during that period of acceleration is 214.38 m.
The mass, m, of the gas amounts to 0.2504 grams. Explanation: First, we need to calculate the cylindrical tube's volume. The formula for the volume of a cylinder is given by; where V indicates volume, π signifies pi, r represents the radius, and h indicates height or length. Given the following parameters: Radius, r = 1.5 cm, Length, h = 14.4 cm, Density, d = 0.00123 g/cm³. Plugging these into the equation, the volume of the cylindrical tube calculates to be 203.6016 cm³. Density can be defined as mass divided by the volume of an object. Simply put, density is mass per unit volume. Mathematically, density is represented by the formula; by substituting into the equation, we conclude that Mass = 0.2504 g.
