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Fantom [35]
3 years ago
6

A block of mass m is initially moving to the right on a horizontal frictionless surface at a

Physics
2 answers:
slava [35]3 years ago
7 0

Answer:

The distance that the spring compresses is:

v\sqrt{\frac{m}{k}}

Explanation:

<u>Kinetic and Elastic Potential Energy</u>

The kinetic energy of an object of mass m traveling at a speed v is:

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

The elastic potential energy of a spring of constant k that compresses a distance x is:

\displaystyle E=\frac{1}{2}kx^2

The block of mass m is moving at a speed v when compresses a spring of constant k. The kinetic energy will eventually transform into elastic energy, but before that, both energies will be equal. It happens when:

\displaystyle \frac{1}{2}mv^2=\frac{1}{2}kx^2

Simplifying:

\displaystyle mv^2=kx^2

Dividing by k:

\displaystyle x^2=\frac{mv^2}{k}

Taking square root:

\displaystyle x=\sqrt{\frac{mv^2}{k}}=v\sqrt{\frac{m}{k}}

The distance that the spring compresses is \mathbf{v\sqrt{\frac{m}{k}}}

Troyanec [42]3 years ago
7 0

Answer:

Explanation:

KE=PE

1/2mv^2=1/2kx^2

2(1/2mv^2)=2(1/2kx^2)

MV^2=kX^2

(MV^2)/k=X^2

X=√(mv^2)/k

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At height h above the surface of Earth, the gravitational acceleration is What is h? Note: The radius of Earth is 6380 km.
rusak2 [61]

The acceleration of gravity is inversely proportional to
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3 years ago
A car travels a distance of 320 km in 4 hours. What is your average speed in meters per second?
Andreas93 [3]

Answer:

22.2 m/s

Explanation:

First, we need to convert km to m by multiplying by 1000. This means that the car traveled 320 000 meters.

Next, we convert hours to minutes by multiplying by 3600 (the number of seconds in an hour). This means that overall, the car traveled 320 000 m in 14 400 seconds.

The average speed can be found by using the equation \frac{distance}{time}. After substitution, this gives the fraction \frac{320 000}{14 400}, which reduces to 22 \frac{2}{9} m/s, or about 22.2 m/s.

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