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jok3333 [9.3K]
3 years ago
6

The velocity of an object with mass = 2kg is given as a function of time:

Physics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

The force acting on the object at t = 2\,s is \vec F = (4, 32)\,[N].

Explanation:

Given that object has a constant mass in time, the force acting on the object (\vec F), in newtons, is defined by following expression:

\vec F = m\cdot \vec a (1)

Where:

m - Mass, in kilograms.

\vec a - Acceleration, in meters per square second.

By definition of acceleration, we know that:

\vec a = \frac{d}{dt} \vec v (2)

Let suppose that given vector velocity is expressed in meters per second. If we know that m = 2\,kg, \vec v = (2\cdot t, 4\cdot t^{2})\,\left[\frac{m}{s} \right] and t = 2\,s, then the force acting on the object is:

\vec a = (2, 8\cdot t)\,\left[\frac{m}{s^{2}} \right]

\vec F = (4, 16\cdot t)\,[N]

\vec F = (4, 32)\,[N]

The force acting on the object at t = 2\,s is \vec F = (4, 32)\,[N].

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A ski jumper has a mass of 59.6 kg. She is moving with a speed of 23.4 m/s at a height of 44.6 meters above the ground. Determin
Daniel [21]

Hello!

Use the formula:

M = k * p

Data:

M = Mechanic energy

k = Kinetic energy

p = Potencial energy

Descomposing:

M = (0,5*mv²) + (mgh)

Replacing:

M = (0,5 * 59,6 kg * (23,4 m/s)²) + (59,6 kg * 9,81 m/s² * 44,6 m)

M = 16317,28 J + 26076,54 J

M = 42393,82 J

The mechanic energy is <u>42393,82 Joules.</u>

7 0
3 years ago
Conductors have ___<br> resistance.
vazorg [7]

Answer:

little/no

Explanation:

Conductors are materials, which conduct electricity and/or heat. That means, that their resistance to such energy is so little, that an electric current is able to pass through.

5 0
3 years ago
Please help me with this please <br><br> I’ll mark you Brainly
ivolga24 [154]
I think it is option (C).

If the answer is helpful then mark me as brainly.
4 0
2 years ago
Two celestial objects are in space: one with a mass of 8.22 x 109 kg and one with a mass of 1.38 x 108 kg. If they are separated
Artemon [7]

Answer: Two celestial objects are in space: one with a mass of 8.22 x 109 kg and one with a mass of 1.38 x 108 kg. If they are separated by a distance of 1.43 km, then, the magnitude of the force of attraction (in newtons) between the objects will be 52.9kN

Explanation: To find the answer we need to know more about the Newton's law of gravitation.

<h3>What is Newton's law of gravitation?</h3>
  • Gravitation is the force of attraction between any two bodies.
  • Every body in the universe attracts every other body with a force.
  • This force is directly proportional to the product of their masses and inversely proportional to the square of the distance between these two masses.
  • Mathematically we can expressed it as,

                        F=\frac{GMm}{r^2} \\where, G=6.67*10^-11Nm^2kg^-2

<h3>How to solve the problem?</h3>
  • Here, we have given with the data's,

                      M=8.22*10^9kg\\m=1.38*10^8 kg\\r=1.43*10^3m

  • Thus, the force of attraction between these two bodies will be,

               F=6.67*10^-11*\frac{8.22*10^9*1.38*10^8}{1.43*10^3} =52.9kN

Thus, if two celestial objects are in space: one with a mass of 8.22 x 109 kg and one with a mass of 1.38 x 108 kg and, If they are separated by a distance of 1.43 km, then, the magnitude of the force of attraction (in newtons) between the objects will be 52.9kN.

Learn more about the Newton's law of gravitation here:

brainly.com/question/28045318

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6 0
1 year ago
A capacitor consists of two square plates, 8.7 cm on a side, separated by a 2.0 mm air gap. How much energy would be stored in t
slavikrds [6]

Answer:

122.84 J

Explanation:

Since plate is square, area, A is given by (8.7/100)^{2}=0.007569m^{2}

The distance between plates, d, is given in the question as 2mm=0.002m

Charge on plate, Q, as given in the question is 240 \mu c

Assuming mica dielectric constant, k of 7

Capacitance, C is given by

C=\frac {k\epsilon_{o}A}{d}=\frac {(7)(8.85*10^{-12})(0.007569)}{0.002}=2.34*10*^{-10}F

Stored energy, E is given by

E=\frac {Q^{2}}{2C}=\frac {(240*10^{-6})^{2}}{2*(2.34*10^{-10})}=122.84J

Therefore, the stored energy is 122.84 J

5 0
2 years ago
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