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slega [8]
3 years ago
6

A block of mass 0.252 kg is placed on top of a light, vertical spring of force constant 4 825 N/m and pushed downward so that th

e spring is compressed by 0.105 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?
Physics
1 answer:
svp [43]3 years ago
7 0

Answer:

10.77m

Explanation:

The elastic potential energy of the spring when compressed with the mass is converted to the kinetic energy of the mass when released. This ie expressed in the following equation;

\frac{1}{2}ke^2=\frac{1}{2}mu^2..............(1)

where k is the force constant of the spring, e is the compressed length, m is the mass of the block and u is the velocity with which the block leaves the spring after being released.

If we make u the subject of formula from equation (1) we obtain the following;

u=\sqrt{\frac{ke^2}{m}}................(2)

Given;

e = 0.105m,

k = 4825N/m,

m = 0.252kg,

u = ?

Substituting all values into equation (2) we obtain the following;

u=\sqrt{\frac{4825*0.105^2}{0.252}}................(2)\\u=14.53m/s

The maximum height attained is then obtained from the third equation of motion as follows, taking g as 9.8m/s^2

v^2=u^2-2gh.........(3)

v = 0m/s

Hence

h=\frac{u^2}{2g}\\h=\frac{14.53^2}{2*9.8}\\h= 10.77m

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zhannawk [14.2K]

Answer:

Part a)

v = 16.52 m/s

Part b)

v = 7.47 m/s

Explanation:

Part a)

(a) when the large-mass object is the one moving initially

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so here we can say

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since this is a perfect inelastic collision so after collision both balls will move together with same speed

so here we can say

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v = 16.52 m/s

Part b)

(b) when the small-mass object is the one moving initially

here also we can use momentum conservation as the net force on the system of two masses will be zero

so here we can say

m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v

Again this is a perfect inelastic collision so after collision both balls will move together with same speed

so here we can say

v = \frac{(m_1v_{1i} + m_2v_{2i})}{(m_1 + m_2)}

v = \frac{(8.4\times 0 + 3.8\times 24)}{3.8 + 8.4}

v = 7.47 m/s

4 0
3 years ago
The earth and the moon exert forces on each other which forces is greater? explain
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Thank you for your question, what you say is true, the gravitational force exerted by the Earth on the Moon has to be equal to the centripetal force.

An interesting application of this principle is that it allows you to determine a relation between the period of an orbit and its size. Let us assume for simplicity the Moon's orbit as circular (it is not, but this is a good approximation for our purposes).

The gravitational acceleration that the Moon experience due to the gravitational attraction from the Earth is given by:

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This is the so-called third Kepler law, that states that the cube of the radius of the orbit is proportional to the square of the period.

This has interesting applications. In the Solar System, for example, if you know the period and the radius of one planet orbit, by knowing another planet's period you can determine its orbit radius. I hope that this answers your question.


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Answer:

It's B

Explanation:

Hope this helps, tell me if im wrong!

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