a 30lb- force below the origin, a 20lb-force 3ft above the origin and making an angle of30° N of E, a 100lb-force with a horizontal distance of 3ft and a vertical distance of4ft from the origin and making an angle of 45° NW, a 60lb-force with the samedistance like the previous force but along the positive x-axis, and a 100lb- force 4ft tothe right of the origin and making an angle of 60° S of W. Determine the magnitude andEasily sign with your fingers in PDFSign5. Derive a formula that relates the displacement, final velocity, time and constantacceleration of an object in UARM (Uniformly Accelerated Rectilinear Motion). Use thatformula to find the time it takes for a particle to attain a velocity of 30"", given that theconstant acceleration is 6 and the particle's displacement is 25m to the left of theorigin.6. Suppose an electron has an acceleration defined by a, (t) = 30te-t, wheret is inseconds. Find the position as a function of time and determine how far the electron wouldbe fromthe origin when it momentarily stops.7. Simple Harmonic Motion is defined as a periodic motion of a point along a straight line,such that its acceleration is always towards a fixed point in that line and is proportional toits distance from that point. In other words, its acceleration is proportional to thedisplacement but acts in an opposite direction. Prove algebraically that the motion of aparticle defined by x = cos 2t + 2sin2t is simple harmonic.8. You fire a ball with an initial speed of v at an angle o above the surface of an incline,which is itself inclined at anangle 0 above the horizontal.a) Find the distance, measured along the indline, from the launch point to the pointwhen the ball strikes the incline.b) What angle o gives the maximum range, measured along the incline? Ignore airresistance.9. According to the Guinness Book of World Records, the longest home run ever measuredwas hit by Roy “Dizzy" Carlyle in a minor league game. The ball travelled 188m beforelanding on the ground outside the ballpark. Assuming the ball's initial velocity was in adirection 45° above the horizontal, what did the initial speed of the ball need to be toproduce such a home run if the ball was hit at a point 0.9m above ground level? Ignoreair resistance.10. A small toy airplane is flying in the xy – plane parallel to the ground. During the timeintervaltį = 0s andt21s, its velocity as a function of time is given by3 = 1.2ti + (12" - 2)mmmAt what values of t is the velocity of the plane perpendicular to its acceleration?End

Name: a 30lb- force below the origin, a 20lb-force 3ft above the origin and
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Description: a 30lb- force below the origin, a 20lb-force 3ft above the origin and making an angle of30° N of E, a 100lb-force with a horizontal distance of 3ft and a vertical distance of4ft from the origin and making an angle of 45° NW, a 60lb-force with the sa

Let u be the initial distance, v be the final velocity, a be the acceleration and S be the distance.…

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Derive a formula that relates the displacement, final velocity, time and constant acceleration of an object in UARM (Uniformly Accelerated Rectilinear Motion). Use that formula to find the time it takes for a particle to attain a velocity of 30", given that the constant acceleration is 6 and the particle's displacement is 25m to the left of the s2 origin.

Derive a formula that relates the displacement, final velocity, time and constant acceleration of an object in UARM (Uniformly Accelerated Rectilinear Motion). Use that formula to find the time it takes for a particle to attain a velocity of 30", given that the constant acceleration is 6 and the particle's displacement is 25m to the left of the s2 origin.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

a 30lb- force below the origin, a 20lb-force 3ft above the origin and making an angle of
30° N of E, a 100lb-force with a horizontal distance of 3ft and a vertical distance of
4ft from the origin and making an angle of 45° NW, a 60lb-force with the same
distance like the previous force but along the positive x-axis, and a 100lb- force 4ft to
the right of the origin and making an angle of 60° S of W. Determine the magnitude and
Easily sign with your fingers in PDF
Sign
5. Derive a formula that relates the displacement, final velocity, time and constant
acceleration of an object in UARM (Uniformly Accelerated Rectilinear Motion). Use that
formula to find the time it takes for a particle to attain a velocity of 30"", given that the
constant acceleration is 6 and the particle's displacement is 25m to the left of the
origin.
6. Suppose an electron has an acceleration defined by a, (t) = 30te-t, wheret is in
seconds. Find the position as a function of time and determine how far the electron would
be fromthe origin when it momentarily stops.
7. Simple Harmonic Motion is defined as a periodic motion of a point along a straight line,
such that its acceleration is always towards a fixed point in that line and is proportional to
its distance from that point. In other words, its acceleration is proportional to the
displacement but acts in an opposite direction. Prove algebraically that the motion of a
particle defined by x = cos 2t + 2sin2t is simple harmonic.
8. You fire a ball with an initial speed of v at an angle o above the surface of an incline,
which is itself inclined at anangle 0 above the horizontal.
a) Find the distance, measured along the indline, from the launch point to the point
when the ball strikes the incline.
b) What angle o gives the maximum range, measured along the incline? Ignore air
resistance.
9. According to the Guinness Book of World Records, the longest home run ever measured
was hit by Roy “Dizzy" Carlyle in a minor league game. The ball travelled 188m before
landing on the ground outside the ballpark. Assuming the ball's initial velocity was in a
direction 45° above the horizontal, what did the initial speed of the ball need to be to
produce such a home run if the ball was hit at a point 0.9m above ground level? Ignore
air resistance.
10. A small toy airplane is flying in the xy – plane parallel to the ground. During the time
interval
tį = 0s and
t2
1s, its velocity as a function of time is given by
3 = 1.2ti + (12" - 2)
m
m
m
At what values of t is the velocity of the plane perpendicular to its acceleration?
End

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