A 70 kilogram mountaineer is standing on the summit of Mt. Everest. The distance between the mountaineer and the center of Earth is 6.39 × 106 meters. What is the magnitude of the force of gravity acting on the mountaineer? (The value of G is 6.673 × 10-11 newton meter2/kilogram2. The mass of Earth is 5.98 × 1024 kilograms.)90.50 newtons



111.5 newtons



684.1 newtons



4041.7 newtons

Answers

Answer 1
Answer: The force due to gravity between two point masses is given by:
F = GMm/r²; where G is the gravitational constant, M is the larger mass, m is the smaller mass, and r is the distance between the two.
F =  (6.673 × 10⁻¹¹ × 5.98 × 10²⁴ × 70) / (6.39 × 10⁶)²
F = 684.1 N
Answer 2
Answer:  F = GMm/r² 

F = (6.673*10^-11)(5.98*10^24)(70)/(6.39*10^... 

F = 684 N (3sf)

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An object is in uniform circular motion, tracing an angel at 30 degrees every 0.010 seconds. What's the period of this motion and how do I work it out?

Answers

Here's the rule you need to know
in order to answer this question:

                     1 full circle ==> 360 degrees .

Got that ?

Now you could set up a proportion:

     (30 degrees) / (0.01 second)  =  (360 degrees) / (time for full period)

Cross-multiply the proportion:

     (30°) · (period)  =  (360°) · (0.01 sec)

Divide each side by (30°) :    Period = (360° · 0.01 sec) / (30°)

                                                     =  (3.6° · sec) / (30°)

                                                     =  (3.6 / 30)  sec

                                                     =      0.12  sec .
___________________________________

Another way to look at it:

30°        takes    0.01 second
60°        takes    0.02 second
90°        takes    0.03 second
120°      takes    0.04 second
150°      takes    0.05 second
180°      takes    0.06 second
210°      takes    0.07 second
240°      takes    0.08 second
270°      takes    0.09 second
300°      takes    0.10 second
330°      takes    0.11 second
360°      takes   0.12 second

Research indicates that inattentional blindness often decreases when people work on tasks that require a great deal of attention. Please select the best answer from the choices provided T F

Answers

Answer:

False

Explanation:

Inattentionla blindness is a condition that happens when you overview or do not notice an object that is not supposed to be in a certain place and that is strange for its context because you are paying attention to something else, this means that if you do a task that needs a great deal of attention you will actually increase the inattentional blindness.

The correct answer is F

Inertia is ______ to mass. directly proportional inversely proportional equal to not related to

Answers

Answer;

Directly proportional

Explanation

  • Inertia is directly proportional to mass of an object. Therefore, when the force of inertia increases the mass also increases, and when it decreases the mass also decreases.
  • According to Newton's first law of motion, also known as the law of inertia; a body remains at a state of rest or constant motion and in the same direction unless acted upon by an external force.
  • Mass of a body is totally dependent on inertia of an object, such that the more inertia an object or a body has, then the more mass it has. which means inertia and mass are directly proportional. Therefore, an object with high mass has an increased tendency to resist change in its state of motion.
Directly proportional. As mass increases, inertia increases and vice versa

A drowsy cat spots a flowerpot that sails first up and then down past an open window. The pot is in view for a total of 0.66 s, and the top-to-bottom height of the window is 1.80 m. How high above the window top does the flowerpot go? (Assume that in both sailing upward and then falling downward, the flowerpot is seen to span the full vertical height of the window.)

Answers

Answer:

Height covered after crossing window top = 0.75 m

Explanation:

In the question,

The height of the window pane = 1.8 m

Time for which the flowerpot is in view = 0.66 s

So,

The time for which it was in view while going up is = 0.33 s

Time for which it was in view while going down = 0.33 s

So,

Let us say,

The initial velocity of the flowerpot = u m/s

So,

Using the equation of the motion,

s=ut+(1)/(2)at^(2)\n1.8=u(0.33)-(1)/(2)(9.8)(0.33)^(2)\n1.8=0.33u-0.5336\n0.33u=2.33\nu=7.07\,m/s

So,

Velocity at the top of the window pane is given by,

v=u+at\nv=7.07-(9.8)(0.33)\nv=3.836\,m/s

Now,

Let us say the height to which the flowerpot goes after crossing the window pane is = h

So,

Using the equation of motion,

v^(2)-u^(2)=2as\n(0)^(2)-(3.836)^(2)=2(-9.8)h\nh=(14.714)/(19.6)\nh=0.75\,m

Therefore, the height covered by the flowerpot after window is = 0.75 m

Range of motion is the distance an object can travel when separated from another object.a. True
b. False

Answers

Answer:

false

Explanation:

i chose false when i was taking my practice exam

Your oven has a power rating of 5000 watt...Your oven has a power rating of 5000 watts.
a. How many kilowatts is this? b. If the oven
is used for 2 hours to bake cookies, how
many kilowatt-hours (kWh) are used? c. If
your town charges $0.15/kWh, what is the
cost to use the oven to bake the cookies?

Answers

a). 1,000 watts = 1 kilowatt
5,000 watts = 5 kilowatts

b). (5 kilowatts) x (2 hours) = 10 kilowatt-hours (kWh)

c). (10 kWh) x (15 cents/kWh) = $1.50