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SpyIntel [72]
2 years ago
13

A rock weighing 20 n (mass = 2 kg) is swung in a horizontal circle of radius 2 m at a constant speed of 6 m/s. what is the centr

ipetal acceleration of the rock?
Physics
2 answers:
serious [3.7K]2 years ago
8 0
Centripetal acceleration, same as the linear acceleration, is the rate of change of velocity but in this case the tangential velocity. The direction of this acceleration is always directed inward the motion. Centripetal acceleration is calculated from the ratio of the square of the velocity and the radius. We calculate as follows:

centripetal acceleration = v^2 / r
centripetal acceleration = ( 6 m/s )^2 / 2 m
centripetal acceleration = 18 m/s^2
Shkiper50 [21]2 years ago
6 0

Answer:

a_c = 18 m/s^2

Explanation:

As we know that the centripetal acceleration is defined as the ratio of square of the speed and the radius of the circle

so it is given as

a_c = \frac{v^2}{R}

here we know that

speed of the rock moving in horizontal circle is given as

v = 6 m/s

also we know the radius of circle is

R = 2 m

now we have

a_c = \frac{v^2}{R}

a_c = \frac{6^2}{2}

a_c = 18 m/s^2

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(a)
Marta_Voda [28]

a) The momentum of the coconut is 3 kg m/s

b) At first, the air resistance is negligible, so the coconut accelerates due to the force of gravity

c) The coconut reaches its terminal velocity

Explanation:

a)

The momentum of an object is given by the equation

p=mv

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m is the mass of the object

v is its velocity

For the coconut in this problem, we have:

m = 1.5 kg (mass)

v = 2 m/s (velocity)

Therefore, its momentum is

p=(1.5)(2)=3 kg m/s

B)

There are only two forces acting on the coconut during its fall:

  • The force of gravity, of magnitude mg (m= mass of the coconut, g = acceleration of gravity), acting downward
  • The air resistance, acting upward, whose magnitude is proportional to the speed of the coconut

During the first momentums of the fall, the speed of the coconut is still low, so the air resistance is mostly negligible, and therefore only the force of gravity is acting on the coconut. Since this force is constant, it means that the acceleration of the coconut is constant: therefore, its velocity keeps increasing during the fall, and the coconut speeds up.

C)

If the tree is very tall, the fall of the coconut lasts long, and the  speed of the coconut keeps increasing. Since the air resistance is proportional to the speed, this means that at some point, the air resistance is no longer negligible, and it starts to have some effect on the fall of the coconut. In particular, at a certain point, the air resistance will become equal (in magnitude) to the force of gravity (but opposite in direction): this means that  from this point, the acceleration of the coconut will be zero, and therefore the coconut will continue its motion at constant velocity. This velocity is called terminal velocity, and it occurs when the force of gravity is equal to the air resistance:

mg = F_r

where F_r is the air resistance.

Learn more about forces and weight:

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#LearnwithBrainly

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