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3 years ago

An object weighs 55.54 newtons. What is its mass if a gravitometer indicates that g = 9.83 m/s2?

1 answer:

8 0

   Weight = (mass) x (gravity)

Divide each side by (gravity): Mass = (weight) / (gravity) =

   (55.54 N) / (9.83 m/s²) =

   5.65 kilograms

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A man 6 feet tall walks at a rate of 6 feet per second away from a light that is 15 feet above the ground.

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Answer:(a)10 ft/s

(b)4 ft/s

Explanation:

Given

height of light $=15 feet$

height of man $=6 feet$

$\frac{\mathrm{d} x}{\mathrm{d} t}=6 ft/s$

From diagram

$\frac{15}{y}=\frac{6}{y-x}$

$5(y-x)=2y$

$3y=5x$

differentiate both sides

$3\times \frac{\mathrm{d} y}{\mathrm{d} t}=5\times \frac{\mathrm{d} x}{\mathrm{d} t}$

Tip of shadow is moving at the rate of

$\frac{\mathrm{d} y}{\mathrm{d} t}=\frac{5}{3}\times 6=10 ft/s$

(b)rate at which length of his shadow is changing

Length of shadow is $y-x$

differentiating w.r.t time

$\frac{\mathrm{d} (y-x)}{\mathrm{d} t}=\frac{\mathrm{d} y}{\mathrm{d} t}-\frac{\mathrm{d} x}{\mathrm{d} t}$

$\frac{\mathrm{d} (y-x)}{\mathrm{d} t}=10-6=4 ft/s$

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3 years ago

A negatively charged rubber rod can pick up small, neutrally charged pieces of paper by a process called

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In a microwave oven, electrons describe circular motion in a magnetic field within a special tube called amagnetron; as you'll l

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Answer:

The magnetic field strength and the electrons' energy are 0.077 T and 0.8906 eV.

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Given that,

Diameter = 2.62 mm

Frequency = 2.15 GHz

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Using formula of the magnetic field strength

$B=\dfrac{2\pi mf}{e}$

Where, f = frequency

e = charge of electron

Put the value into the formula

$B=\dfrac{2\times3.14\times9.1\times10^{-31}\times2.15\times10^{9}}{1.6\times10^{-19}}$

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(B). We need to calculate the energy of electron

Using formula of energy

$E=\dfrac{1}{2}m(r\omega)^2$

$E=\dfrac{1}{2}\times9.1\times10^{-31}\times(1.31\times10^{-3}\times2\pi\times2.15\times10^{9})^2$

$E=1.4249\times10^{-16}\ J$

The energy in eV

$1 eV=1.6\times10^{-16}\ J$

$E=\dfrac{1.4249\times10^{-16}}{1.6\times10^{-16}}$

$E=0.8906\ eV$

Hence, The magnetic field strength and the electrons' energy are 0.077 T and 0.8906 eV.

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When making ice cream, the salt lowers the temperature of the ice and water sufficiently enough to freeze the cream.

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