buse

Find an orthonormal basis of the plane:

x_1 + 7 * x_2 - x_3 = 0.

The bunchberry flower has the fastest-moving parts ever observed in a plant. Initially, the stamens are held by the petals in a bent position, storing elastic energy like a coiled spring. When the petals release, the tips of the stamen act like medieval catapults, flipping through a 60∘ angle in just 0.30ms to launch pollen from anther sacs at their ends. The human eye just sees a burst of pollen; only high-speed photography reveals the details. As in the following figure shows, we can model the stamen tip as a 1.0-mm-long, 11μg rigid rod with a 11μg anther sac at the end. Although oversimplifying, we'll assume a constant angular acceleration. Express your answer to two significant figures and include the appropriate units.

http://session.masteringphysics.com/problemAsset/1...

Equation:

16x^2 − 32^x + 9y^2 = 128

My work:

((x-1)^2)/16+(y^2)9=1

a1=4

a2=3

center (x, y) = ( 1, 0 )

foci

(x, y) = ( 1 , -(7)^(1/2) )

(x, y) = ( 1 , (7)^(1/2) )

However, I could not find the vertices. Please help. I tried (1, -3) and (1, 3) for vertices; however, the system says wrong. Thank you so much for your help in advance. The right answer will be rewarded as best answer :)

A 270g bird flying along at 5.2m/s sees a 7.0g insect heading straight toward it with a speed of 25m/s (as measured by an observer on the ground, not by the bird). The bird opens its mouth wide and enjoys a nice lunch.

A-) What is the magnitude of the train's angular acceleration after it is released?

B-) How long does it take the train to stop if it's released with an angular speed of 33rpm ?

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My work SO FAR:

A-)

Force of rolling friction = (0.13)(mg) {where "m" is mass of toy train}

Size of de-celeration of toy train = (0.13)(mg)/m = 0.13(g) = (0.13)(9.81) = 1.2753m/s²

Size of angular distance around track = π(1.4) = 4.398229715m

Size of angular de-celeration = 1.2753/4.398229715 = 0.289957571 rad/s

However, the system says the answer is wrong.

Size of angular acceleration = -0.390 rad/s ANS-1

B-)

since I couldn't find right angular velocity I can not move on to part b!

A 400g model rocket is on a cart that is rolling to the right at a speed of 2.5m/s . The rocket engine, when it is fired, exerts an 9.0N thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 20m above the launch point. At what horizontal distance left of the loop should you launch?

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m=400g

V=2.5m/s

Ft=9.0N

A 1300 -kg car is pushing an out-of-gear 2100 -kg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push horizontally against the ground with a force of 4530N . The rolling friction of the car can be neglected, but the heavier truck has a rolling friction of 765N , including the "friction" of turning the truck's drivetrain.

My work:

--> F (C on T) = 3090 N

--> a(Car)=a(Truck)=ax

A 1300 -kg car is pushing an out-of-gear 2100 -kg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push horizontally against the ground with a force of 4530N . The rolling friction of the car can be neglected, but the heavier truck has a rolling friction of 765N , including the "friction" of turning the truck's drivetrain. What is the magnitude of the force the car applies to the truck?

Block A in the figure is heavier than block B and is sliding down the incline. All surfaces have friction. The rope is massless, and the massless pulley turns on frictionless bearings. The rope and the pulley are among the interacting objects, but you'll have to decide if they're part of the system.

Here is a picture of the system and my work.

Na = Normal force from the incline to A

T = Tension

Fk (B on A) = Force of Friction between B and A

Fk (A) = Force of Friction between A and the incline

Fg = Force of Gravity

N (B on A) = normal force from B to A

D = ½CρAv² I need to use this formula, but I can't seem to get the right answer.

What I found was 57 g. Could you help me?

Two rubber bands cause an object to accelerate with acceleration a. How many rubber bands are needed to cause an object with half the mass to accelerate two times as quickly?

I tried the answers 3,1,6,4 but I can't do it.

4 is so logical to me.

Find the volume V obtained by rotating the region bounded by the given curves about the specified axis.

y = 3 sin(x)

y = 3 cos(x)

0 ≤ x ≤ (π/4) about y = 3

i do know that I need to use the washer method but I can get the right answer. What I found was 6π(2(2)^(1/2)-(5/2)). Please help me.

I posted this question before but I didn't get any right answers. I am glad that some people tried to before but I am still clueless about this question.

Find the volume V obtained by rotating the region bounded by the given curves about the specified axis.

y = 3 sin(x)

y = 3 cos(x)

0 ≤ x ≤ (π/4) about y = 3

i do know that I need to use the washer method but I can get the right answer. What I found was 6π(2(2)^(1/2)-(5/2)). Please help me.