An unsuspecting bird coasting along in an easterly direction at 1.00 mph when a strong wind from the south impartsa constant acceleration of 0.200 m/s2. If the acceleration from the wind lasts 2.30 s, find the magnitude, r, and a direction, of the bird's displacement during this time period. (HINT: assume the bird is originally travelling in the +x direction and there are 1609 m in 1 mile.)
r = ? Direction = ?
Now assume the bird is moving along again at 1.00 mph in an easterly direction but this time the acceleration given by the wind is at a 38.0 degree angle to the original direction of motion. If the magnitude of the acceleration is 0.200 m/s^2, find the displacement vector r->, and the angle of the displacement theta1. (Assume the time interval is still 2.30s)
r = ?
Direction =?
1.00 mph = 0.447 m/s
the displacement after 2.30s is
r = 0.447m/s*2.30s i + ½*0.200m/s²*(2.30s)² j = [1.03 i + 0.529 j] m
where "i" and "j" are the unit vectors "east" and "north," respectively
magnitude |r| = √(1.03² + 0.529²) m = 1.16 m ◄
direction Θ = arctan(0.529 / 1.03) = 27.18º North of East ◄
Now,
r = [(0.447*2.30 + ½*0.200*cos38.0*2.30²) i + ½*0.200*sin38*2.30² j] m
r = [1.44 i + 0.326 j] m ◄
Θ1 = arctan(0.326/1.44) = 12.74º ◄
An unsuspecting bird coasting along in an easterly direction at 1.00 mph when a strong wind...
An unsuspecting bird is coasting along in an easterly direction at 1.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s2. If the wind's acceleration lasts for 3.20 s, find the magnitude r and direction e (measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. (HINT: assume the bird is originally travelling in the +x direction and there are 1609 m in 1 mile.) Number m Number Now, assume...
An unsuspecting bird is coasting along in an easterly direction
at 1.00 mph when a strong wind from the south imparts a constant
acceleration of 0.300 m/s2. If the wind\'s acceleration lasts for
3.40 s, find the magnitude r and direction θ (measured
counterclockwise from the easterly direction) of the bird\'s
displacement over this time interval. (HINT: assume the bird is
originally travelling in the x direction and there are 1609 m in 1
mile.)
An unsuspecting bird is coasting...
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An unsuspecting bird is coasting along in an easterly direction at 1.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s^2. If the acceleration from the wind lasts for 2.30 s, find the magnitude, r, and direction, theta, of the bird's displacement during this time period. r = Number m theta = Number degree Now, assume the same bird is moving along again at 1.00 mph in an easterly direction but this time the...
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Resources Give Up? Feedback Resume 7100 Question 1 of 12 > Attempt 3 0/100 An unsuspecting bird is coasting along in an easterly direction at 3.00 mph when a strong wind from the south imparts a constant acceleration of 0.500 m/s. If the wind's acceleration lasts for 2.90 s, find the magnitude r and direction 8 (measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +x...
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Applying Newton's 2nd law,
Fnet=ma, then to this system, along the direction of motion
(parallel to the swinging bob), we find
−mgsinθ=ma. (Note, the negative sign is required since the
acceleration in our picture, which is to the right at this moment,
is opposite to the angular displacement from the vertical, which is
to the left.)
This equation is extremely difficult to solve, so let us
simplify it by assuming that the pendulum's swings only through a
very small angle,...