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ryzh [129]
3 years ago
6

A load of 36 N attached to a spring hanging

Physics
1 answer:
givi [52]3 years ago
3 0

Answer:

The required force is 55.38 N.

Explanation:

First we have to find the spring constant K;

                         k = \frac{mg}{d} = \frac{36}{0.065} = 553.846 N/m

As,

                         F= -Kx

                   or, F=  - 553.846 × 0.10

                   or, F=  -55.3846 N

Hence,

                  F_{needed} = - F_{spring}

            ∴  F_{needed} = 55.38 N

The required force  to stretch it by this  amount is 55.38 N.  

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A student pushes a 40-N block across the floor for a distance of 10 m. How much work was applied to move the block? A. 4 J B. 40
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work = force x distance
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so let us substitute the variables to their corresponding places

Joules = 40 N x 10 m
Joules = 400 J

So the answer to this question would be C. 400 J
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What happened if there is no frictional force?​
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The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were obser
Dafna1 [17]

A) Orbital speed: v=\sqrt{\frac{GM}{R}}

B) Kinetic energy: K= \frac{GmM}{2R}

D) The orbital period is T=\frac{2\pi}{\sqrt{GM}}R^{3/2}

F) The angular momentum is L=m\sqrt{GMR}

G) Exponent of radial dependence:

Speed: -1/2

Kinetic energy: -1

Orbital period: 3/2

Angular momentum: 1/2

Explanation:

A)

We know that for a satellite in circular orbit around a planet of mass M, the gravitational force between the satellite and the planet is

F=G\frac{mM}{R^2}

where m is the mass of the satellite.

This force provides the centripetal force needed for the circular motion, which is

F=m\frac{v^2}{R}

where v is the orbital speed.

Since the gravitational force provides the centripetal force, we can equate the two expressions:

G\frac{mM}{R^2}=m\frac{v^2}{r}

And solving for v, we find

v=\sqrt{\frac{GM}{R}}

B)

The kinetic energy of an object is given by

K=\frac{1}{2}mv^2

where

m is the mass of the object

v is its speed

In this problem,

m is the mass of the satellite

v=\sqrt{\frac{GM}{R}} is the speed of the satellite (found in part A)

Substituting, we find an expression for the kinetic energy of the satellite:

K=\frac{1}{2}m(\sqrt{\frac{GM}{R}})^2 = \frac{GmM}{2R}

D)

The orbital speed of the satellite can be rewritten as the ratio between the distance covered during one orbit (the circumference of the orbit) divided by the period of revolution:

v=\frac{2\pi R}{T}

where

2\pi R is the circumference of the orbit

T is the orbital period

We already found that the orbital speed is

v=\sqrt{\frac{GM}{R}}

Substituting into the equation,

\sqrt{\frac{GM}{R}}=\frac{2\pi R}{T}

And making T the subject,

T=\frac{2\pi R}{\sqrt{\frac{GM}{R}}}=\frac{2\pi}{\sqrt{GM}}R^{3/2}

F)

The angular momentum of an object is defined as

L=mvr

where

m is the mass of the object

v is its speed

r is the radius of the orbit

For the satellite here we have

m (mass of the satellite)

v=\sqrt{\frac{GM}{R}} (orbital speed)

R (orbital radius)

Substituting,

L=m\sqrt{\frac{GM}{R}}R=m\sqrt{GMR}

G)

First, we rewrite the list of expressions for the different quantities that we found:

Orbital speed: v=\sqrt{\frac{GM}{R}}

Kinetic energy: K= \frac{GmM}{2R}

Orbital period: T=\frac{2\pi}{\sqrt{GM}}R^{3/2}

Angular momentum: L=m\sqrt{GMR}

Now we observed the dependence of each quantity from R:

Orbital speed: v\propto R^{-1/2}

Kinetic energy: K \propto R^{-1}

Orbital period: T \propto R^{3/2}

Angular momentum: L \propto R^{1/2}

So the exponent of the radial dependence of each quantity is:

Speed: -1/2

Kinetic energy: -1

Orbital period: 3/2

Angular momentum: 1/2

Learn more about circular motion:

brainly.com/question/2562955

brainly.com/question/6372960

#LearnwithBrainly

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