7. These questions are about the amount of work done by a force (a) Find the work done by a force F(x) = 1/x2 (force measured in Newtons) along the x-axis from r 10 (distance measured in meters) 1 to x (b) Find the work required to compress a spring from its natural length of 1ft to a length of 0.75ft if the force constant is k 16lb/ft (c) A spring has a natural length of 1m. A force of 24 N stretches the spring to 1.8m. i. Find the force constant k. ii. How much work will it take to stretch the spring 2m beyond its natural length? 8. Find the average value of the following functions on the given intervals. (a) f (x) 3x 0, (0, 3] (b) f(x) sin x on
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.
Find the average value for 8 (b)
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