Burayh
20-02-2012, 02:11
ããßä ÇáÍá ÞÈá Çáíæã ÇáÌÇí , ÊÓáã ÇáÍáæá æÇäÇ ãÇ ÈÚÑÝ ÇáÃÌæÈÉ !! áÇäí ãÇ ÇÐßÑ ÇáÏßÊæÑ ÔÑÍåÇ , ÇáÑÌÇÁ ÇáãÓÇÚÏÉ
1- Show how to convert Newton into dyne or prove that 1N=10^5 dyne.
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2- Show that 1J=10^7 erg.
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3- Find the relation between each of the following
a) Joule and Newton b) Newton and Pascal
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4- Write down the dimensional equation for each of the following quantities and find
their units: Power - momentum – pressure.
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5- Check the following mathematical relations
a) E= mv^2 + F/V [E: energy ¡٬ m:mass ¡٬ v:speed ¡٬ F:force ¡٬ V: volume]
b) P=r g h [r density ¡٬ g acceleration h height]
c) X = vt + ½ at^2 [X: distance ¡٬ v: speed t: time a : acceleration].
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An automobile travels on a straight road for 40 km at 30 km/h. It then continues in the
same direction for another 40 km at 60 km/h. (a) what is the average velocity of the car
during this 80 km trip? (Assume that it moves in the positive x direction.) (b) What is the
average speed?
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s The position of an object moving along an x axis is given
by x = 3t - 4t^2 * t^3,where r is in meters and / in seconds. Find
the position of the object at the following values of r: (a) 1 s,
(b) 2 s, (.) 3 s, and (d) 4 s. (") What is the object's
displacement betweerr t = 0 and t = 4 s? (f) What is its average
velocity for the time interval from t= 2s to t=4s?
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A hot-air balloon is ascending at the rate of 12 m/s and
is 80 m above the ground when a package is dropped over the
side. (a) How long does the package take to reach the ground?
(b) With what speed does it hit the ground
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A truck on a straight road starts from rest, accelerating at
2.00 m/s^2 until it reaches a speed of 20.0 m/s. Then the
truck travels for 20.0 s at constant speed until the brakes are
applied, stopping the truck in a uniform manner in an additional
5.00 s. (a) How long is the truck in motion? (b) What
is the average velocity of the truck for the motion described?
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verage velocity of the
part during each successive interval of time %t0!t0#0,
compares it with the value vc it should be, and switches a
servo motor on and off to give the part a correcting pulse
of acceleration. The pulse consists of a constant acceleration
am applied for time interval %tm!tm#0 within the
next control time interval %t0. As shown in Fig. P2.35, the
part may be modeled as having zero acceleration when the
motor is off (between tm and t0). A computer in the control
system chooses the size of the acceleration so that the final
velocity of the part will have the correct value vc . Assume
the part is initially at rest and is to have instantaneous velocity
vc at time t0. (a) Find the required value of am in terms
of vc and tm. (b) Show that the displacement %x of the part
during the time interval %t0 is given by %x!vc (t0#0.5tm).
For specified values of vc and t0, (c) what is the minimum
displacement of the part? (d) What is the maximum displacement
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a baseball is hit so that it travels straight upward after being struck by the bat . A fan observes that it takes 3.00 S for the ball to reach it's maximum height . find ( a) it's initial velocity and ( b) the height it reaches?
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ÇÐÇ ãæ æÇÖÍ ÇáäÓÎ åäÇ
ÇáÃÓÆáÉ Ýí ÇáãÑÝÞÇÊ ãÑÝæÚÉ
1- Show how to convert Newton into dyne or prove that 1N=10^5 dyne.
………………………………………………………………………………………………
………………………………………………………………………………………………
………………………………………………………………………………………………
2- Show that 1J=10^7 erg.
………………………………………………………………………………………………
………………………………………………………………………………………………
3- Find the relation between each of the following
a) Joule and Newton b) Newton and Pascal
……………………………………………………………………………………………
……………………………………………………………………………………………
……………………………………………………………………………………………
……………………………………………………………………………………………
4- Write down the dimensional equation for each of the following quantities and find
their units: Power - momentum – pressure.
………………………………………………………………………………………………
………………………………………………………………………………………………
………………………………………………………………………………………………
………………………………………………………………………………………………
5- Check the following mathematical relations
a) E= mv^2 + F/V [E: energy ¡٬ m:mass ¡٬ v:speed ¡٬ F:force ¡٬ V: volume]
b) P=r g h [r density ¡٬ g acceleration h height]
c) X = vt + ½ at^2 [X: distance ¡٬ v: speed t: time a : acceleration].
………………………………………………………………………………………………
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An automobile travels on a straight road for 40 km at 30 km/h. It then continues in the
same direction for another 40 km at 60 km/h. (a) what is the average velocity of the car
during this 80 km trip? (Assume that it moves in the positive x direction.) (b) What is the
average speed?
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s The position of an object moving along an x axis is given
by x = 3t - 4t^2 * t^3,where r is in meters and / in seconds. Find
the position of the object at the following values of r: (a) 1 s,
(b) 2 s, (.) 3 s, and (d) 4 s. (") What is the object's
displacement betweerr t = 0 and t = 4 s? (f) What is its average
velocity for the time interval from t= 2s to t=4s?
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A hot-air balloon is ascending at the rate of 12 m/s and
is 80 m above the ground when a package is dropped over the
side. (a) How long does the package take to reach the ground?
(b) With what speed does it hit the ground
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A truck on a straight road starts from rest, accelerating at
2.00 m/s^2 until it reaches a speed of 20.0 m/s. Then the
truck travels for 20.0 s at constant speed until the brakes are
applied, stopping the truck in a uniform manner in an additional
5.00 s. (a) How long is the truck in motion? (b) What
is the average velocity of the truck for the motion described?
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verage velocity of the
part during each successive interval of time %t0!t0#0,
compares it with the value vc it should be, and switches a
servo motor on and off to give the part a correcting pulse
of acceleration. The pulse consists of a constant acceleration
am applied for time interval %tm!tm#0 within the
next control time interval %t0. As shown in Fig. P2.35, the
part may be modeled as having zero acceleration when the
motor is off (between tm and t0). A computer in the control
system chooses the size of the acceleration so that the final
velocity of the part will have the correct value vc . Assume
the part is initially at rest and is to have instantaneous velocity
vc at time t0. (a) Find the required value of am in terms
of vc and tm. (b) Show that the displacement %x of the part
during the time interval %t0 is given by %x!vc (t0#0.5tm).
For specified values of vc and t0, (c) what is the minimum
displacement of the part? (d) What is the maximum displacement
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a baseball is hit so that it travels straight upward after being struck by the bat . A fan observes that it takes 3.00 S for the ball to reach it's maximum height . find ( a) it's initial velocity and ( b) the height it reaches?
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ÇÐÇ ãæ æÇÖÍ ÇáäÓÎ åäÇ
ÇáÃÓÆáÉ Ýí ÇáãÑÝÞÇÊ ãÑÝæÚÉ