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SSM A spider crawling across a table leaps onto a magazine blocking its path. The initial velocity of the spider is 0.870 m/s at an angle of 35.0 above the table, and it lands on the magazine 0.0770 s after leaving the table. Ignore air resistance. How thick is the magazine? Express your answer in millimeters.

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Physics 101 Mechanics

Chapter 3

Kinematics in Two Dimensions

Motion in 2d or 3d

Cornell University

University of Washington

University of Sheffield

McMaster University

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

10:12

A vector is a mathematical entity that has a magnitude (or length) and direction. The vector is represented by a line segment with a definite beginning, direction, and magnitude. Vectors are added by adding their respective components, and multiplied by a scalar (or a number) to scale the vector.

02:46

SSM A spider crawling acro…

02:24

A spider crawling across a…

02:38

02:33

A gun fires a bullet verti…

02:03

A bullet traveling horizon…

02:49

A small ball rolls horizon…

02:40

03:55

A spider of mass $m_{\math…

01:25

A bullet is fired through …

03:19

SSM A fire hose ejects a s…

06:21

An indestructible bullet $…

0:00

Review. A bullet of mass $…

03:27

An $8.00-\mathrm{g}$ bulle…

So the question states a bug jumps on top of a magazine. Ah, with speed, with initial speed of 0.870 meters per second, an angle of 35 degrees with the total flight time of 350.770 seconds and we need to find the height of this magazine. So to do this, all we really need to focus on is the vertical components of the velocity, the horizontal proponents, me nothing. We're just trying to find the vertical displacement of the spider. So to find V of X r v of why we can do the falling. So we know that sign of 35 degrees is equal to be of why, over 0.870 meters per second, so we can solve for via boy which is equal to point for 99 meters per second. Now that we know what via why is we can substitute this into our kingdom attics, formula which states that the Delta X is equal to the velocity times time plus 1/2 a T squared. We know what the velocity is, which is just point for 99 meters per second. We know what the time is and we also know what the acceleration is. It's just the acceleration due to gravity which is negative nine point heat meters per second squared and so we can sub everything in into this formula and sulfur Delta X. And when we do this, we find that the height of the magazine is 0.937 meters, which is also same thing as 9.37 millimeters.

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