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mart [117]
3 years ago
7

A particle moves along the x-axis according to x(t)=10t−2t²m. (a) What is the instantaneous velocity at t = 2 s and t = 3 s? (b)

What is the instantaneous speed at these times? (c) What is the average velocity between t = 2 s and t = 3 s?
Physics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

a) v(2) = 2m/s, v(3) = -2m/s

b) speed at t = 2s is 2m/s

speed at t = 3s is 2m/s

c) 0 m/s

Explanation:

We can take the derivative of x(t) to find the equation of velocity

v(t) = x'(t) = 10 - 4t

(a) v(2) = 10 - 4*2 = 10 - 8 = 2 m/s

v(3) = 10 - 4*3 = 10 - 12 = -2 m/s

(b) The speed would be the same as velocity without the direction

speed at t = 2s is 2m/s

speed at t = 3s is 2m/s

(c) The average velocity between t = 2s and t = 3s is distance it travels over period of time

v_a = \frac{s(3) - s(2)}{\Delta t} = \frac{10*3 - 2*3^2 - (10*2 - 2*2^2)}{3 - 2}

v_a = \frac{12 - 12}{1} = 0/1 = 0 m/s

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Answer:

5 x 10⁻⁷N

Explanation:

Given parameters:

Mass of object 1  = 100kg

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Distance  = 2m

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Solution:

Newton's law of universal gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

From Newton's law of universal gravitation we derive an expression:

       Fg  =  \frac{Gm_{1} m_{2}  }{r^{2} }

G is the universal gravitation constant = 6.67 x 10⁻¹¹

m is the mass

r is the distance between the bodies

Now insert the parameters and solve;

    Fg  = 6.67 x 10⁻¹¹ x \frac{100 x 300}{2^{2} }    = 5 x 10⁻⁷N

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What is the weight, in pounds, of a 185-kg object on jupiter? express the weight numerically in pounds?
strojnjashka [21]

Befroe showing a numercial answer, It is necessary to clarify that pounds is not a unit of weight. Pounds is a unit of mass.


Mass is a property of matter which indicates the amount of matter (atoms of certain kind) that the object has. The mass of an object does not change whenever the object changes of environment. It is the same in water, on the air, on Jupiter, the Earth, Venus, the Moon. Any where.


On the other hand, weight is the product of mass times the acceleration of gravity. Therefore, weight is different from mass and it changes depending on the place.


To find the mass in pounds of a 185 kg object, you have to make a conversion of units.


The conversion factor is 1 kg = 2.2046 pounds ⇒ 1 = 2.2046 pounds / kg.


Therefore, 185 kg = 185 kg × 2.2046 pounds / kg = 407.851 pounds = 407.851 lb ← this is the mass in pounds.


To find the weight you had to search for the gravitational acceleration in Jupiter and calcuate it with the formula weight = mass × acceleration of gravity.


You find the value for acceleration of gravity in Jupiter  in internet as 24.79 m/s².


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4,586 N × 1 kilopond / 9.8 N ≈ 468 kiloponds or 468,000 ponds ← weight

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3 years ago
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