A block of mass =4.20 kg slides along a horizontal table with velocity 0=3.50 m/s . At =0 , it hits a spring with spring constant =26.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by =0.250 . How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.

Answers

Answer 1

The distance in which the spring is compressed is 1.065 m.

The given parameters;

mass of the block, m = 4.2 kgvelocity of the block, v = 3.5 m/sspring constant, k = 26 N/mcoefficient of friction, μ = 0.25

Apply the principle of conservation of energy to determine the distance in which the spring is compressed.

[tex]K.E = W + U\\\\\frac{1}{2} mv^2 = \mu Fx \ + \ \frac{1}{2} kx^2\\\\\frac{1}{2}(4.2)(3.5)^2 = 0.25(4.2 \times 9.8)(x) \ + \frac{1}{2} (26)(x^2)\\\\25.725 = 10.29x \ + \ 13x^2\\\\13x^2 + 10.29x - 25.725 = 0\\\\[/tex]

solve the quadratic equation using formula method;

a = 13, b = 10.29,  c = -25.725

[tex]x = \frac{-b \ \ +/- \ \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(10.29) \ \ +/- \ \sqrt{(10.29)^2 \ - \ 4(13\times 25.725)} }{2(13)} \\\\x = 1.065 \ m, \ \ or \ -1.86 \ m[/tex]

choose positive distance, x = 1.065 m.

Thus, the distance in which the spring is compressed is 1.065 m.

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Answer:

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Answers

Answer:

2.45 g/mL

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(assuming that the original volume was 20 mL and not L)

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Answers

Answer:

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Answer:

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If a train is moving south at 50 m/s and a person is running SOUTH on the train at 5 m/s, what is the velocity of the person as seen by someone not moving (watching the train going by)
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Answers

The velocity of the person as seen by someone not moving (watching the train going by) will be 55 m/s South. I can therefore conclude that none of the option given is correct.

Given that a train is moving south at 50 m/s and a person is running SOUTH on the train at 5 m/s.

That means the person is running relatively to the velocity of the train. Since the train and the person are moving in the same direction, the relative velocity seen by an observer watching the train going will be the addition of both the train and the person in the direction of the train.

That is,

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Relative velocity = 55 m/s South.

Therefore, the velocity of the person as seen by someone not moving (watching the train going by) will be 55 m/s South.

I can therefore conclude that none of the option given is correct.

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How do energy transformations occur in a hydroelectric plant?


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Answer:

The answer is #3: The kinetic energy of water is converted by a generator into electric energy.

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A football player kicks the ball with an initial velocity of 28.3 m/s at an angle of 60° above the horizontal. The ball is in the air for a total of 5.00 s before hitting the ground. Ignoring air resistance, what would be the ball's horizontal displacement?

Answers

Hi there!

Since the ball is directed 60° above the horizontal, we must use its HORIZONTAL component to find its displacement.

We can take the cosine to do so:

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Since the ball is in the air for 5 sec, we can use the following equation:

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Which colour of light is refracted more by a prsim green or blue.explain​

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Answer:

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hope this helps

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Answers

The tension in the horizontal portion of the rope provided the blocks are not moving and the rope has negligible mass is 40 N

The tension in the rope is a pulling force that acts on the rope when the mass of 4kg is placed on each side of the two frictionless pulley.

According to Newton's second Law;

Force = (Tension) = mass × acceleration due to gravity

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Answers

Answer:

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Please find attached photograph for your answer.

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Do comment if you have any query.

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Answers

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Answer:

160 N

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160 N

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Answers

Answer:

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Help plz????????? Giving out Brainly

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Answer should be (B)

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If the forces on an object are balanced (or if there are no forces acting on it), this is what happens: a stationary object stays still. a moving object continues to move at the same speed and in the same direction.

ALSO: forces acting upon an object are balanced, then the object will maintain its state of motion. To maintain the state of motion is to keep the current speed and direction. But if the forces are not balanced, the object will change its state of motion.

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