59. One of the most striking notions of Einstein's Theory of Relativity is his time dilation concept. If a person P1 moves with velocity v with respect to an observer P2, then a watch carried by P appears to be running more slowly to P2 than to P, by a (dilation) factor of 1 V1 – v²/c² Here c is the velocity of light, approximately 186,000 miles per second. a. If v = c/2, what is the dilation factor? b. If v = c/3600, which is 186,000 miles per hour, estimate the dilation factor. (Hint: Consider the function f (x) = 1/V1 – x near 0.) %3D
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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