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son4ous [18]
3 years ago
13

A light spring has a force constant of 70 N/m and is used to pull a 10 kg box on a horizontal frictionless surface. If the box h

as an acceleration of 5
m/s2, by how much does the spring stretch if it pulls on the sled at 30.0° above the horizontal?
88.9 cm
50.7 cm
82.4 cm
66.3 cm
Physics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

82.4 cm

Explanation:

∑F = ma

kx cos θ = ma

x = ma / (k cos θ)

x = (10 kg) (5 m/s²) / (70 N/m cos 30.0°)

x = 0.824 m

x = 82.4 cm

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(1 point) A pilot flies in a straight path for 1 hour and 30 min. She then makes a course correction, heading 10 degrees to the
kati45 [8]

Answer:

The pilot is 2214.22 miles from her starting position

Explanation:

Since the pilot is traveling at a constant speed of 635 mph, the total distance traveled can be easily found as follows:

1stleg: d_{1} = 1.5*635 = 952.5 mi\\2ndleg: d_{2} = 2*635 = 1270 mi

There was a 10 degrees deviation, so the angle between the trajectory of both legs is 170 degrees.

The distance we need to find is that from the start of the first leg to the end of the second leg, those three distances form a triangle and since the side we're interested in is opposite to the 170 degrees angle, we can determine its length by the law of cosines:

d_{3}^{2} =d_{1}^{2} + d_{2}^{2} -2*d_{1}*d_{2}*cos(170)\\d_{3}^{2} =952.5^{2} + 1270^{2} -2*952.5*1270*cos(170)\\d_{3}=2214.22mi

The pilot is 2214.22 miles from her starting position

8 0
3 years ago
What is surface tension? How does surface tension result from intermolecular forces? How is it related to the strength of interm
Bond [772]

Answer:

Surface tension is the tendency of liquid surfaces to shrink into the minimum surface area possible.

Surface tension is caused by effects of intermolecular forces at liquid interface.

Surface tension increases as intermolecular forces increases.

Explanation:

  • Surface tension is the tendency of liquid surfaces to shrink into the minimum surface area possible. It can also be seen as the energy required to increase the surface of a liquid by a unit amount.
  • Surface tension is caused by the mediating effects of intermolecular forces at the liquid interfaces. Example in water, surface tension is caused by the mediating effect of the force between hydrogen and oxygen molecules. Liquids tends to reduce their surface area because of inward attarction of the liquid molecules.
  • Surface tension increases as intermolecular forces increases. Also, surface tension decreases as intermolecular forces decreases.

3 0
3 years ago
Which kind of energy transformation occurs during skydiving? A) mechanical to gravitational B) gravitational to kinetic C) kinet
Aleks [24]

B) gravitational to kinetic

Explanation:

The skydiver, when he is located at a certain height h above the ground, possesses gravitational potential energy, equal to:

U=mgh

where m is the mass of the skydiver, g is the gravitational acceleration and h is the height above the ground. As he falls, its height h decreases, while his speed v increases, so part of the gravitational potential energy is converted into kinetic energy, which is given by

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

so, we see that as v increases, the kinetic energy increases. Therefore the correct answer is

B) gravitational to kinetic

7 0
3 years ago
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These two cubes represent a small cell and large cell .
Elena L [17]

Answer:

Idk

Explanation:

7 0
3 years ago
A 1.30-kg object is held 1.10 m above a relaxed, massless vertical spring with a force constant of 315 N/m. The object is droppe
pshichka [43]

Answer:

0.345m

Explanation:

Let x (m) be the length that the spring is compress. If we take the point where the spring is compressed as a reference point, then the distance from that point to point where the ball is held is x + 1.1 m.

And so the potential energy of the object at the held point is:

E_p = mgh

where m = 1.3 kg is the object mass, g = 10m/s2 is the gravitational acceleration and h = x + 1.1 m is the height of the object with respect to the reference point

E_p = 1.3 * 10 * (x + 1.1) = 13(x + 1.1) = 13x + 14.3 J

According to the conservation law of energy, this potential energy is converted to spring elastic energy once it's compressed

E_p = E_k = kx^2/2 = 13x + 14.3

where k = 315 is the spring constant and x is the compressed length

315x^2 = 26x + 28.6

315x^2 - 26x - 28.6 = 0

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

x = \frac{26 \pm \sqrt{26^2 - 4*(-28.6)*315}}{2*315}

x = \frac{26 \pm 191.6}{630}

x = 0.345 m or x = -0.263 m

Since x can only be positive we will pick the 0.345m

6 0
3 years ago
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