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brilliants [131]
3 years ago
5

A student at a window on the second floor of a dorm sees her physics professor walking on the sidewalk beside the building. she

drops a water balloon from 18.0 meters above the ground when the professor is 1.00 meter from the point directly beneath the window. if the professor is 1.70 meters tall and walks at a rate of 0.450 m/s, does the balloon hit her? if not, how close does it come? (10 pts)

Physics
1 answer:
klasskru [66]3 years ago
8 0
Refer to the diagram shown below.

In order for the balloon to strike the professor's head, th balloon should drop by 18 - 1.7 = 16.3 m in the time at the professor takes to walk 1 m.
The time for the professor to walk 1 m is
t = (1 m)/(0.45 m/s) = 2.2222 s

The initial vertical velocity of the balloon is zero.
The vertical drop of the balloon in 2.2222 s is
h = (1/2)*(9.8 m/s²)*(2.2222 s)² = 24.197 m

Because 24.97 > 16.3, the balloon lands in front of the professor, and does not hit the professor.

The time for the balloon to hit the ground is
(1/2)*(9.8)*t² = 18
t = 1.9166 s

The time difference is 2.2222 - 1.9166 = 0.3056 s
Within this time interval, the professor travels 0.45*0.3056 = 0.175 m
Therefore the balloon falls 0.175 m in front of the professor.

Answer: 
The balloon misses the professor, and falls 0.175 m in front of the professor.

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An automobile traveling 95 km/h overtakes a 1.30-km-long train traveling in the same direction on a track parallel to the road.
SOVA2 [1]

Answer:

Same direction: t=234s; d=6.175Km

Opposite direction: t=27.53s; d=0.73Km

Explanation:

If the automobile and the train are traveling in the same direction, then the automobile speed relative to the train will be v_{AT}=v_A-v_T (<em>the train must see the car advancing at a lower speed</em>), where v_A is the speed of the automobile and v_T the speed of the train.

So we have v_{AT}=(95km/h)-(75Km/h)=20Km/h.

So the train (<em>anyone in fact</em>) will watch the automobile trying to cover the lenght of the train L at that relative speed. The time required to do this will be:

t = \frac{L}{v_{AT}} = \frac{1.3Km}{20Km/h} = 0.065h=234s

And in that time the car would have traveled (<em>relative to the ground</em>):

d=v_At=(95Km/h)(0.065h)=6.175Km

If they are traveling in opposite directions, <u>we have to do all the same</u> but using v_{AT}=v_A+v_T (<em>the train must see the car advancing at a faster speed</em>), so repeating the process:

v_{AT}=(95km/h)+(75Km/h)=170Km/h

t = \frac{L}{v_{AT}} = \frac{1.3Km}{170Km/h} = 0.00765h=27.53s

d=v_At=(95Km/h)(0.00765h)=0.73Km

5 0
2 years ago
A mechanic changing the spark plugs in a car notes that the instruction manual calls for a torque with a magnitude of
Papessa [141]

The magnitude (in N) of the force she must exert on the wrench is 150.1 N.

<h3>Force exerted by the wrench</h3>

The force exerted by the wrench is calculated using torque formula as follows;

torque, τ = F x r x sinθ

where;

  • F is the applied force
  • r is the perpendicular distance if force applied

F =  τ /(r sinθ)

F = (39) / (0.3 sin 60)

F = 150.1 N

Thus, the magnitude (in N) of the force she must exert on the wrench is 150.1 N.

Learn more about torque here: brainly.com/question/14839816

#SPJ1

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1 year ago
If an object is an irregularly shaped solid and it is dropped into a graduated cylinder and it displaces 25 mL of water and has
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Answer:

1250

Explanation:

7 0
2 years ago
The unit used to measure electric current is the ampere (A). Now, assume that the current delivered at a wall socket reaches the
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Answer:

T = 0.017s

Explanation:

period is the time it takes a particle to make one oscillation

An electric current is periodic in nature

The current reaches 3.8A  ten times.  

So there must have been 10 cycles (10 periods) in 0.17s.   let 'T'  be the period:

T=\frac{t}{n}

t is the total time interval

n is the number of oscillations

T=\frac{0.17}{10}

10T = 0.17

T = 0.17/10 = 0.017s

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Answer:

It has to be important to you.

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Body wellness

means eating right, exercising, and keeping your bodily systems in good health.

Mental wellness

means feeling safe and secure in your environment and at peace with your decisions and actions.

Emotional wellness

means feeling your best and having the ability to deal with many different situations.

Wellness: Setting Goals

The first step to setting a goal is defining it. Keep in mind that not everything you wish for can be a goal. When it comes to physical activity, diet, and exercise, you may wish to run a marathon before the end of the school year. However, this goal could be difficult to achieve if school ends in just a few months and you are not already training. A more reasonable goal might be to be able to run a mile in the amount of time considered healthy for your age group.

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Physical exercise

is the act of improving one's body through specific intentional movements.

differences between exercise and fitness

while anyone can exercise, only someone who exercises regularly can be fit.

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five components of physical education:

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Explanation:

Life is WORTH LIVING

6 0
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