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3 years ago

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Which of these objects would need the largest force to create an

1 answer:

Gnom [1K]3 years ago

6 0

Newton's second law for an object's motion in one spatial dimension:

F = ma

F is the force, m is the mass, and a is the acceleration.

From this equation, we can tell that, compared to a less massive object, a more massive object will need a bigger force to make it accelerate at the same rate. The 30kg sofa has the most mass out of all the above listed objects, therefore it will take the biggest force to accelerate at 1m/s²

Choice D

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A copper wire is 1.6 m long and its diameter is 1.1 mm. If the wire hangs vertically, how much weight (in N) must be added to it

qaws [65]

Answer:

Weight required = 194.51 N

Explanation:

The elongation is given by

$\Delta L=\frac{PL}{AE}$

Length , L= 1.6 m

Diameter, d = 1.1 mm

Area

$A=\frac{\pi d^2}{4}=\frac{\pi \times (1.1\times 10^{-3})^2}{4}=9.50\times 10^{-7}m^2$

Change in length, ΔL = 2.8 mm = 0.0028 m

Young's modulus of copper, E = 117 GPa = 117 x 10⁹ Pa

Substituting,

$\Delta L=\frac{PL}{AE}\\\\0.0028=\frac{P\times 1.6}{9.50\times 10^{-7}\times 117\times 10^9}\\\\P=194.51N$

Weight required = 194.51 N

8 0

3 years ago

"1.0 kg mass is attached to the end of a spring. The mass has an amplitude of 0.10 m and vibrates 2.0 times per second. Find its

prisoha [69]

Answer:

1.3m/s

Explanation:

Data given,

Mass,m=1.0kg,

Amplitude,A=0.10m,

Frequency,f=2.0Hz.

From the equation of a simple harmonic motion, the displacement of the object at a given time is define as

$x=Acos\alpha \\$

we can express the velocity by the derivative of the displacement,

Hence

$V=-Awsin\alpha \\$

at equilibrium, the velocity becomes

$V=wA\\w=2\pi f$

Hence if we substitute values we arrive at

$V=2\pi fA\\V=2\pi *2*0.1\\V=1.3m/s$

4 0

3 years ago

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Suppose the U.S. national debt is about $14 trillion. If payments were made at the rate of $3,500 per second, how many years wou

andreyandreev [35.5K]

Answer:

It will take 126.84 years to pay off the debt

Explanation:

Total debt = $14,000,000,000,000.00

Paid $3,500 per second

Number of seconds to pay off the debt will be:

14 ×10^12 /3500

Number of seconds = 4× 10^9 seconds

Converting seconds to year:

I second = 3.171 ×10^-8 calendar year

Therefore, number of years it will take to pay off $14 Trillion =( 4 ×10^9 ) × ( 3.171 × 10^-8)

Number of years = 126.84 years

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3 years ago

Rahim is watching his favorite football team on television. In order to work, the television must be plugged into an electrical

Rasek [7]

I think the answer is B

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taurus [48]

The answer is south

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2 years ago