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posledela
3 years ago
10

An object of mass m moves in one dimension with velocity given by v a/x for a a constant. Find the force on the object as a func

tion of position and the position time. To find the force, you may use either Newton's 2nd law or energy conservation. Assume that the object is initially at the origin.
Physics
1 answer:
balandron [24]3 years ago
8 0

Answer:

F = -m\frac{a^2}{x^3}

Explanation:

As we know that velocity as a function of position is given as

v = \frac{a}{x}

now in order to find the acceleration we can use that rate of change in velocity is known as acceleration

So we will have

a = \frac{dv}{dt}

a = \frac{d}{dt}(\frac{a}{x})

a = -\frac{a}{x^2}\frac{dx}{dt}

a = - \frac{a^2}{x^3}

Now by Newton's 2nd law we have

F = ma

F = -m\frac{a^2}{x^3}

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Se dispara una bala con una velocidad de v = 300[m/s] contra un cascarón esférico de papel que gira con MCU respecto a un eje ve
Sladkaya [172]

Answer:

 w = 4.712 10⁻³ rad / s

Explanation:

For this exercise, the time it takes for the bullet to travel the distance of 2R must be equal to the time that the hole must travel half a circle.

Let's start by calculating the time it takes for the bullet, which is going at constant speed.

         v = x / t

         t = x / v

         t = 2R / v

         t = 2 0.10 / 300

         t = 6.666 10⁻⁴ s

As they ask that a single hole is formed in this time, it must be rotated half a circle, that is, θ =π rad, for which we use the angular scientific relations, where the shell has constant angular velocity

          w = θ / t

          w = π / 6,666 10⁻⁴

          w = 4.712 10⁻³ rad / s

7 0
3 years ago
Two identical blocks are connected to opposite ends of a compressed spring. the blocks initially slide together on a frictionles
lana66690 [7]

Answer:

v to the right.

Explanation:

<u>If there is no external force on the system, then the velocity of the center of mass is </u><u>constant</u><u>. </u>

The initial velocity of center of mass is v to the right. Therefore, the velocity of the center of mass at any point is v to the right.

7 0
3 years ago
Contrast the average speed and the instantaneous speed of runner in a race.
ehidna [41]

Average speed of the runner is the rate at which the runner covers the total distance. Average speed of the runner in the race is given by,

Average speed = \frac{Total distance}{Total time}

Where

Total distance = Distance covered by the runner from initial to final position

Total time = time taken by the runner to cover entire distance

Instantaneous speed is the speed of the runner at the particular moment in the given time. Instantaneous speed is given by,

Instantaneous speed = \frac{dx}{dt}

x = position of the runner at time t

t = time taken to cover distance x

Hence, Average speed and instantaneous speed are different for a runner running in the race.


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By dropping a ball and seeing how long it takes to hit the ground or throw a ball up and time it as well
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8 0
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