2. A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to five times her weight as she goes through the dip. Of r = 21.5 m, how fast is the roller coaster traveling at the bottom of the dip?

Answers

Answer 1
Answer:

Answer:v=√(4gr)

Explanation:

Given

Passenger feels the seat of the car Pushing upward with a force equal to five times her weight

Therefore

N-mg=(mv^2)/(r)

it is given N=5mg

where N=normal reaction

5mg-mg=(mv^2)/(r)

thus v=√(4gr)


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Several teenagers swim toward a rectangular, wooden raft that is 2.00 m wide and 2.50 m long. If the raft is 9.80 cm thick, how many 75.0 kg teenage boys can stand on top of the raft without the raft becoming submerged? Assume the wood density is 650 kg/m3.

Answers

Answer:

2

Explanation:

length of the raft, L = 2 m

Width of the raft, W = 2.5 m

height of the raft, H = 9.8 cm = 0.098 m

mass of each person, m = 75 kg

Density of wood = 650 kg/m^3

volume of raft, V = L x W x H = 2 x 2.5 x 0.098 = 0.49 m^3

let there are N persons

According to the principle of floatation

Buoyant force acting on the raft = True weight of the raft

Volume x density of water x g = volume x density of wood x g + N x mg

0.49 x 1000 x g = 0.49 x 650 x g + N x 75 x g

490 = 318.5 + N x 75

N = 2.28

So, the maximum number of person is 2.

A sea breeze occurs because warm air rises on land and moves toward the ocean to cool. The cool air then moves from the ocean to be warmed by the land. a. True
b. False

Answers

im going to go with a. True

The answer is A, true.

The change in pitch of a train's horn as it passes while you are standing still can be explained bya. sympathetic vibration.
b. ultrasonic vibrations.
c. resonance.
d. the Doppler effect.

Answers


The change in pitch of a train's horn as it passes while you are
standing still can be described by the Doppler effect, but that
doesn't explain it.

Stratovolcanoes can become larger than a cinder cone volcanoes because ?A. Earthquakes aren’t associated with stratovolcanoes

B. Stratovolcanoes are the result of hardened pyroclastic flows

C. The layers of pyroclastic Deposits are alternated with layers of viscous lava

D. The temperature of the lava associated with stratovolcanoes is lower than the lava associated with Cindercone volcanoes

Answers

The answer to your question is c.


A wave with a period of 1/3 second has a frequency of

Answers

3 because it is the inverse of period

a boeing 747 has a total mass, including passengers and luggage, of 250,000 kg. How much force do the engines supply to achieve a take off velocity of 990 m/s in 35 seconds.

Answers


Acceleration = (change in speed) / (time for the change)

Acceleration = (990 m/s)  /  (35 sec)  =  28.29 m/s²


Force = (mass) x (acceleration)

Force  =  (250,000 kg) x (28.29 m/s²) =  7.07 million Newtons

                                                about  1.59 million pounds .

===========================================

There you have the Physics and the Math.
Does any of this resemble the real world ?
No.  The question is completely bogus.

-- Take-off speed can't be 990 m/s. 
That would be about  2,200 mph, almost 3 times the speed of sound.

-- The take-off run can't accelerate at 28.3 m/s² .
That would be almost 3 G's.  If it didn't rip the wings off of the 747,
it would surely guarantee early use of most of the passengers' barf bags.

-- The Saturn V first-stage booster that sent Apollo to the moon
had a thrust of 7.5 million pounds.  I'm pretty sure that was more
than 4.7 Boeing 747's.
 
================================

Ah hah !  I've just been handed a bulletin, or as they say nowadays,
there is breaking news !

I see that the take-off speed has been revised downward to 90 m/s.
That's right at 200 mph which seems reasonable to me, so let's go
back and do the whole thing again:


Acceleration = (change in speed) / (time for the change)

Acceleration = (90 m/s)  /  (35 sec)  =  2.57 m/s²  (about 0.26 G)


Force = (mass) x (acceleration)

Force  =  (250,000 kg) x (2.57 m/s²) =  643 thousand Newtons

                                               about  144 thousand pounds.

                                                about 1.9% of a Saturn V booster.

I like that a lot better.