Chapter 7 Projectile Motion. The motion of an object that has been thrust into air where the only...
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Transcript of Chapter 7 Projectile Motion. The motion of an object that has been thrust into air where the only...
Chapter 7Projectile Motion
Projectile Motion• The motion of an object
that has been thrust into air where the only forces acting on it are gravity & air resistance.
Projectile Motion•Because we ignore air resistance, the only force acting on thrown objects is gravity.
Projectile•The object that has been given an initial thrust, fired, or thrown into air.
Trajectory
•The path of a projectile as it travels
through space.
In Projectile Motion•The vertical & horizontal components act independently & can be solved independently
In Projectile Motion•The only force acting vertically is the force of
gravity causing downward acceleration.
In Projectile Motion•There are no net forces acting horizontally; thus, the horizontal velocity is
constant.
In Projectile Motion•Use your velocity formulas to solve for vertical & horizontal
motion independently.
In Projectile Motion•Solve for time in air 1st
•Always use the vertical component to solve for the time in air.
In Projectile Motion
•After solving for the time in air, solve for the range or horizontal distanced traveled
A rock has been thrown horizontally at 4.0 m/s
from a tower 49 m high. Calculate: tair, dH, and vH & vV the instant before
impact:
A bullet exits a 0.50 m barrel horizontally at
1000.0 m/s from a height of 2.0 m. Calculate: abullet
in barrel, tin barrel, tair ,vV at impact, dH:
A plane flying horizontally at 250 m/s at an altitude of 4.9 km high drops a bomb. Calculate: tair, dH, and vV the
instant before impact:
A ball rolls at 75 cm/s off the edge of a 49 cm
table. Calculate: tair, dH, and vV the instant
before impact:
A car traveling at 1500 cm/s goes off the edge of a 0.49 km high cliff. Calculate: tair, dH, and
maximum vV:
A car accelerates at 5.0 m/s2 for 250 m before
going off the edge of a 0.49 km high cliff. Calculate: t & max v on the ground, &
t, dH, and max vV in air:
A cannon ball is fired at 1000.0 m/s at 53o from horizontally. Calculate: max height, tair ,vV at impact,
dH:
Repeat the last problem with a cannon ball
exiting the barrel at the same speed with angles
of 40o, 45
o, & 50
o
Assumming all factors are the same for that cannon, Calculate its
maximum range:
A ball is thrown at 25 m/s at 45o from
horizontal. Calculate: tair, maximum height, vV at
impact, dH:
A 25 Mg car is accelerated from rest at 5.0 m/s2 up a 250 m ramp at 37o from
horizontal. Calculate: t, & vf on the ramp, and dV, dH, t, and maximum vV in air:
A 1.0 Mg block slides from rest down a 250 m ramp ( = 0.20) at 37o from horizontal that ends 490 m above the
ground. Calculate: t, & vf on the ramp, and dH, t, and
maximum vV in air:
Review
A sled coasts off a 0.49 km cliff at
18 km /hr.Calculate: tair, max
vV, & dH:
A catapult launches a 250 kg rock at 100.0
m/s at 37o from horizontal. Calculate:
tup, dV, tair, & dH :
Define each of the following
•DistanceDisplacement
•Speed Force
•Velocity Acceleration
Give Units for each of the following
•DistanceDisplacement
•Speed Acceleration
•Velocity Force
vf = vi + at
d = vit + ½ at2
vf2 = vi
2+ 2ad
ProjectileMotion
ProjectileTrajectory
A 25 Mg sled slides from rest down a 500.0 m slope ( = 0.10) at 37o from horizontal that ends 2.45 km above the ground. Calculate: t, & vf on the slope, and dH, tair, and the
maximum vV in air:
A 250 Mg sled accelerates at 3.0 m/s2 up a 250 m ramp ( = 0.25) at 53o
from horizontal. Calculate: Fa, tramp, vf ramp,
tair, dv, & dH
A 0.10 Mg cycle is accelerated with a force of 500.0 N for 10.0 s before hitting a 25 m ramp at 37o from horizontal.
Draw the system and Calculate: v at bottom & top of ramp, and t, dv, & dH in the air
An airplane is flying horizontally due west at
360 km/hr at an altitude of 0.49 km & drops a 2000 lb
bomb. Draw the system and Calculate: tair,
maximum vV, & dH.
A 50.0 kg person skis ( = 0.010) down a 3.0 km ski trail with an average slope of 30o. Draw the system
and Calculate: a, t, maximum v on the trail
British Ships had cannons with muzzle velocities of 400 m/s
while the cannons at Ft McHenry could fire at 500 m/s. The British
could elevate to 45o while the Americans could elevate to 18o. Which cannons had the greater
range.
Expanding gases produce about 10,000 N of force in a gun barrel.
One nation wants to build a cannon that will deliver a 2,000 kg cannon ball 200 km. Calculate the
length that the barrel must be. Because you are estimating round
g to –10 m/s2.
AB
= 37o
= 53o
Y = 1.00 kN
XY
C
AB
C
FH of AFH of B
WYWx + FV of C
FH of C
FH of C
FV of A FV of B +FV of C
AB
C FH of B
WYWx + FV of C
FH of C
FH of C
FV of AFV of B
FV of C
FV of C
FH of A
A 200.0 kg rock is catapulted at 53o from horizontal at about
0.10 km/s. Draw the system and Calculate: t, dv, & dH in
the air
A rock is thrown at 37o from horizontal at about 25 m/s.
Draw the system and Calculate: t, dv, & dH in the air