91Ó°ÊÓ

What force would be needed to stretch a spring \((k=14.5 \mathrm{lb} / \mathrm{in.})\) from an unstretched length of 8.50 in. to a length of 12.50 in.?

Find the angle of inclination, in decimal degrees to three significant digits, of a line passing through the given points. (6,3) and (-1,5)

When a body moves with constant acceleration \(a\) (such as in free fall), its velocity \(v\) at any time \(t\) is given by \(v=v_{0}+a t,\) where \(v_{0}\) is the initial velocity. Note that this is the equation of a straight line. If a body has a constant acceleration of \(2.15 \mathrm{m} / \mathrm{s}^{2}\) and has a velocity of \(21.8 \mathrm{m} / \mathrm{s}\) at \(5.25 \mathrm{s}\), find (a) the initial velocity and (b) the velocity at \(25.0 \mathrm{s}\)

Find the angle of inclination, in decimal degrees to three significant digits, of a line passing through the given points. \((x, 3)\) and \((x+5,8)\)

Slopes of Parallel and Perpendicular Lines Find the slopes of the lines parallel to, and perpendicular to, each line with the given slope. $$m=5$$

Slopes of Parallel and Perpendicular Lines Find the slopes of the lines parallel to, and perpendicular to, each line with the given slope. $$m=2$$

Slopes of Parallel and Perpendicular Lines Find the slopes of the lines parallel to, and perpendicular to, each line with the given slope. $$m=4.8$$

Slopes of Parallel and Perpendicular Lines Find the slopes of the lines parallel to, and perpendicular to, each line with the given slope. $$m=-1.85$$

A steel pipe is \(21.50 \mathrm{m}\) long at \(0^{\circ} \mathrm{C} .\) Find its length at \(75.0^{\circ} \mathrm{C}\) if \(\alpha\) for steel is \(12.0 \times 10^{-6}\) per Celsius degree.

Slopes of Parallel and Perpendicular Lines Find the slopes of the lines parallel to, and perpendicular to, each line with the given slope. $$m=-2.85$$