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nadya68 [22]
3 years ago
15

The initial velocity of a 4.0kg box is 11m/s due west. After the box slides 4.0m horizontally its speed is 1.5 m/s. Determine th

e magnitude and the direction of the non conservative force acting on the box as it slides.
Physics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

The magnitude and direction of the non conservative force acting on the box is <F= 59.36 N - DUE EAST DIRECTION>.

Explanation:

m= 4 kg

Vi= 11 m/s

Vf= 1.5 m/s

d= 4m

d= Vi * t - a * t²/2

clearing a:

a= 2*(Vi * t - d)/ t²

Vf= Vi - a * t

replacing "a" and clearing t:

t= 2d/(Vf+Vi)

t= 0.64 s

found now the value of a:

a= Vi - Vf / t

a= 14.84 m/s ²

F= m * a

F= 59.36 N

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1 year ago
Find the de Broglie wavelength of the following. (a) a 4-MeV proton 14.3 Correct: Your answer is correct. fm (b) a 40-GeV electr
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a) de Broglie wavelength of a 4-MeV proton: 14.3 fm

b) de Broglie wavelength of a 40-GeV electron: 0.031 fm

Explanation:

a)

The de Broglie wavelength of an object is given by

\lambda=\frac{h}{p} (1)

where

h is the Planck constant

p is the momentum of the particle

Here we want to find the de Broglie wavelength of a 4-MeV proton. The rest of mass of the proton in MeV is

m_0 = 938 MeV

And since 4MeV, this means that the proton is non-relativistic. So its kinetic energy is related to its momentum by

E=\frac{p^2}{2m}

which means

p=\sqrt{2Em}

where

E=4 MeV \cdot 10^6 eV/MeV \cdot 1.6\cdot 10^{-19] J/eV=6.4\cdot 10^{-13} J is the kinetic energy

m=1.67\cdot 10^{-27} kg is the proton mass

Substituting, we find

\lambda=\frac{h}{\sqrt{2Em}}=\frac{6.63\cdot 10^{-34}}{\sqrt{2(6.4\cdot 10^{-13})(1.67\cdot 10^{-27})}}=14.3\cdot 10^{-15} m = 14.3 fm

b)

In this case, the electron has kinetic energy of 40 GeV, while the rest mass of an electron is

m_0 = 0.511 MeV

Since 40 GeV >> 0.511 MeV, the electron is ultra-relativistic: so we can rewrite its energy as

E = pc

The equation (1) can also be rewritten as

\lambda = \frac{hc}{pc}

where c is the speed of light. The quantity at the denominator is the energy, so

\lambda=\frac{hc}{E}

where:

E=40 GeV = 40\cdot 10^9 eV \cdot (1.6\cdot 10^{-19})=6.4\cdot 10^{-9} J is the energy of the electron

And substituting, we find:

\lambda=\frac{(6.63\cdot 10^{-34})(3\cdot 10^8)}{6.4\cdot 10^{-9}}=3.1 \cdot 10^{-17} m = 0.031 fm

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4 0
3 years ago
2. As a pendulum swings, its energy is constantly converted between kinetic
Alex

Answer:

at point F

Explanation:

To know the point in which the pendulum has the greatest potential energy you can assume that the zero reference of the gravitational energy (it is mandatory to define it) is at the bottom of the pendulum.

Then, when the pendulum reaches it maximum height in its motion the gravitational potential energy is

U = mgh

m: mass of the pendulum

g: gravitational constant

The greatest value is obtained when the pendulum reaches y=h

Furthermore, at this point the pendulum stops to come back in ts motion and then the speed is zero, and so, the kinetic energy (K=1/mv^2=0).

A) answer, at point F

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3 years ago
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A charged capacitor is connected to an ideal inductor to form an LC circuit with a frequency of oscillation f = 1.6 Hz. At time
IrinaK [193]

Answer:

8.0\mu C

Explanation:

We are given that

f=1.6 Hz

q=3.0\mu C=3.0\times 10^{-6} C

1\mu C=10^{-6} C

Current,I=75\mu A=75\times 10^{-6} A

1\mu A=10^{-6} A

We have to find the maximum charge of the capacitor.

Charge on the capacitor,q=q_0cos\omega t

\omega=2\pi f=2\pi\times 1.6=3.2\pi rad/s

3\times 10^{-6}=q_0cos3.2\pi t....(1)

I=\frac{dq}{dt}=-q_0\omega sin\omega t

75\times 10^{-6}=-q_0(3.2\pi)sin3.2\pi t....(2)

Equation (2) divided by equation (1)

-3.2\pi tan3.2\pi t=\frac{75\times 10^{-6}}{3\times 10^{-6}}=25

tan3.2\pi t=-\frac{25}{3.2\pi}=-2.488

3.2\pi t=tan^{-1}(-2.488)=-1.188rad

q_0=\frac{q}{cos\omega t}=\frac{3\times 10^{-6}}{cos(-1.188)}=8.0\times 10^{-6}=8\mu C

Hence, the maximum charge of the capacitor=8.0\mu C

4 0
4 years ago
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