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3 years ago

A material is said to be ductile if it

1 answer:

6 0

A material is said to be ductile if it can be stretched thin when tensile stress is administered. Such a material can be stretched into a wire.

This is different from malleability which describes a material that can bend or alter shape using compressive force e.g. hammering , rather than tensile stress.

Tensile stress is a type of force or stress that alters the length of a material in the same direction as the force being applied.

The opposite of ductile is brittle. Brittle materials can break when subjected too much tensile stress.

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A) At a certain instant, a particle-like object is acted on by a force F = (3.0 N) ihat - (3.0 N) jhat + (9.0 N) khat while the

Paha777 [63]

Answer:

a) Instantaneous rate at which the force does work on the object = -6 W

b) $\texttt{Velocity of object,}\vec{v}=4\hat{j}$

Explanation:

a) Given that

$\vec{F}=3\hat{i}-3\hat{j}$

and

$\vec{v}=-2\hat{i}+4\hat{k}$

Instantaneous rate at which the force does work on the object is called power.

Power is the dot product of force and velocity.

$P=\vec{F}.\vec{v}=(3\hat{i}-3\hat{j}).(-2\hat{i}+4\hat{k})=-6W$

Instantaneous rate at which the force does work on the object = -6 W

b) Here given that $\vec{v}=-a\hat{j}$

Power = -12 W

$P=\vec{F}.\vec{v}=(3\hat{i}-3\hat{j}).a\hat{j}=-12W\\\\-3a=-12\\\\a=4\\\\\vec{v}=4\hat{j}$

$\texttt{Velocity of object,}\vec{v}=4\hat{j}$

4 0

2 years ago

What is thermal energy defined as

vovangra [49]

Answer:

hermal energy is the energy that is generated and measured by heat.

8 0

3 years ago

Read 2 more answers

How do scientists use models to make predictions?

slamgirl [31]

Answer:

scientists use information about the past to build their climate models. scientists test their climate models by using them to forecast past climates. when scientists can accurately forecast past climates, they can be more confident about using their models to predict future climates.

Explanation:

3 0

3 years ago

A light platform is suspended from the ceiling by a spring. A student with a mass of 90 kg climbs onto the platform. When it sto

Ilya [14]

Refer to the diagram shown.

When the student climbs onto the platform, the spring stretches by 0.82 m to reach the equilibrium position.
The mass of the student is m = 90 kg, so his weight is
mg = (90 kg)*(9.8 m/s²) = 882 N

By definition, the spring constant is
k = (882 N)/(0.82 m) = 1075.6 N/m

When the spring is stretched by x from the equilibrium position, the restoring force is
F = - k*x.

If damping is ignored, the equation of motion is
F = m * acceleration
or
$m \frac{d^{2}x}{dt^{2}} = -kx \\ \frac{d^{2}x}{dt^{2}} + \frac{k}{m} x = 0$

Define ω² = k/m = 11.751 => ω = 3.457.
Then the solution of the ODE is
x(t) = c₁ cos(ωt) + c₂ sin(ωt)

x'(t) = -c₁ω sin(ωwt) + c₂ω cos(ωt)
When t=0, x' =0, therefore c₂ = 0

The solution is of the form
x(t) = c₁ cos(ωt)
When t = 0, x = 0.32 m. Therefore c₁ = 0.32

The motion is
x(t) = 0.32 cos(3.457t)
The single amplitude is 0.32 m, and the double amplitude is 0.64 m.

Answer:
0.32 m (single amplitude), or
0.64 m (double amplitude)

6 0

2 years ago

A tungsten wire has resistance R at 20°C. A second tungsten wire at 20°C has twice the length and half the cross-sectional area

Bad White [126]

The resistance is 4 times the resistance of the first wire. the formula is R = p*l/A with p being resistivity, l length and A area. So if you double length and half area, which botv result in more resistance, you get p*2/0.5 or 4 (p can be abandoned because it is the same. We take standard length and area as 1)

6 0

2 years ago