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Klio2033 [76]
3 years ago
13

A student has a mass (including clothes and shoes) of 65.0 kg. She drinks a 12 oz. can of soda, with a nutritional energy conten

t of 140 Cal. Assuming that the efficiency of her muscles is 20%, how high can she climb without losing weight?
Conversion: 1 Cal = 1,000 cal = 4,180 J
Physics
1 answer:
Vikentia [17]3 years ago
4 0

She can climb 0.92 m without losing weight.

<u>Explanation:</u>

Gravitational potential energy is the energy consisting of the product of mass, gravity and height.

1 cal = 4184 J

140 cal = 585760 J

Energy = 585760 J,  m = 65.0 kg = 65000 g,   Efficiency = 20 %

                                  GPE = mgh

where m represents the mass

           g represents the gravity,

           h represents the height.

                             585760 = 65000  9.8  h

                                        h = 0.92 m.

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An electric field of 100 V/m is directed outward from the plane of a circular area with radius 4.0 cm. If the electric field inc
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Answer:

The magnitude of the magnetic field is 8.9\times10^{-19}\ T

Explanation:

Given that,

Electric field = 100 V/m

Radius = 4.0 cm

Electric field increase at a rate = 10 V/ms

Radial distance = 10.0 cm

We need to calculate the magnetic field

Using Gauss's law

\oint{\vec{E}\cdot\vec{dA}}=\phi_{E}

\dfrac{dE}{dt}A=\dfrac{d\phi_{E}}{dt}

\dfrac{dE}{dt}(\pi r^2)=\dfrac{d\phi_{E}}{dt}

We need to calculate the \dfrac{d\phi}{dt}

\dfrac{d\phi}{dt}=10\times\pi\times(4.0\times10^{-2})^2

\dfrac{d\phi}{dt}=0.0503\ Nm^2/C.s

According to Ampere Maxwell law

\oint{\vec{B}\cdot \vec{ds}}=\mu_{0}(I+\epsilon_{0}\dfrac{d\phi_{E}}{dt})

\oint{\vec{B}\cdot\vec{ds}}=\mu_{0}I+\mu_{0}\epsilon_{0}\dfrac{d\phi_{E}}{dt})

Electric field is zero inside the circle.

\oint{\vec{B}\cdot \vec{ds}}=\mu_{0}\epsilon_{0}\dfrac{d\phi_{E}}{dt})

B(2\pi\times10.0\times10^{-2})=4\pi\times10^{-7}\times8.85\times10^{-12}\times0.0503

B=\dfrac{4\pi\times10^{-7}\times8.85\times10^{-12}\times0.0503}{2\pi\times10.0\times10^{-2}}

B=8.9\times10^{-19}\ T

Hence, The magnitude of the magnetic field is 8.9\times10^{-19}\ T

6 0
3 years ago
Ram travel 50metre on a straight road in 30second . hari covers the same distance on the same road in 45s . who has done more wo
Likurg_2 [28]

Answer:

The ram has done more work because the rate at which the ram work is 1.6m/s and Hari is 1.1m/s

4 0
3 years ago
Red light of wavelength 633 nm from a helium-neon laser passes through a slit 0.370 mm wide. The diffraction pattern is observed
erica [24]

Answer:

Δx = 6.33 x 10⁻³ m = 6.33 mm

Explanation:

We can use the Young's Double Slit Experiment Formula here:

\Delta x = \frac{\lambda L}{d}\\\\

where,

Δx = distance between consecutive dark fringes = width of central bright fringe = ?

λ = wavelength of light = 633 nm = 6.33 x 10⁻⁷ m

L = distance between screen and slit = 3.7 m

d = slit width = 0.37 mm = 3.7 x 10⁻⁴ m

Therefore,

\Delta x = \frac{(6.33\ x\ 10^{-7}\ m)(3.7\ m)}{3.7\ x \ 10^{-4}\ m}

<u>Δx = 6.33 x 10⁻³ m = 6.33 mm</u>

8 0
3 years ago
A proton and an electron in a hydrogen atom are separated on the average by about 5.3 × 10−11 m. What is the magnitude and direc
Genrish500 [490]

Answer:

1. 5.12068 × 1011 N/C away from the proton

Explanation:

The electric field produced by a single point charge is given by:

E=k\frac{q}{r^2}

where

k is the Coulomb's constant

q is the magnitude of the charge

r is the distance from the charge

In this problem, we have:

q=1.6\cdot 10^{-19}C is the charge of the proton

r=5.3\cdot 10^{-11} m is the distance at which we want to calculate the field

k=8.99\cdot 10^9 Nm^2C^{-2} is the Coulomb's constant

Substituting into the formula,

E=(8.99\cdot 10^9 Nm^2C^{-2})\frac{1.6\cdot 10^{-19}C}{(5.3\cdot 10^{-11}m)^2}=5.12068\cdot 10^{11} N/C

And the direction of the electric field produced by a positive charge is away from the charge, so the correct answer is

1. 5.12068 × 1011 N/C away from the proton

4 0
4 years ago
Under constant pressure, the temperature of 2.43 mol of an ideal monatomic gas is raised 11.9 K. What are (a) the work W done by
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Answer:

Explanation:

Given

no of moles n=2.43

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(b)Energy Transferred as heat

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c_p for ideal Mono atomic gas is \frac{5R}{2}

Q=2.43\times \frac{5R}{2}\times 11.9

Q=601.03 kJ

(c)Change in Internal Energy

\Delta U=Q-W

\Delta U=601.03-240.41=360.62 kJ

(d)Change in average kinetic Energy \Delta k

K.E._{avg}=\frac{3}{2} \times k\times T

\Delta K.E.=\frac{3}{2} \times k\times \Delta T  ,where k=boltzmann constant

\Delta K.E.=\frac{3}{2}\times 1.38\times 10^{-23}\times 11.9

\Delta K.E.=2.46\times 10^{-22} J

3 0
3 years ago
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