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An electric train moving at 5m/s accelerates to a speed of 8m/s in 20 seconds. Fine the distance travelled in meters during the

adelina 88 [10]

<h3>Answer: 130 meters</h3>

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Explanation:

vi = 5 and vf = 8 are the initial and final velocities respectively. The change in time is t = 20 seconds.

So,

x = 0.5*(vi + vf)*t

x = 0.5*(5+8)*20

x = 130 meters

represents the distance traveled. The first equation shown above is one of the four kinematics equations.

3 0

3 years ago

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A horizontal spring-mass system has low friction, spring stiffness 165 N/m, and mass 0.6 kg. The system is released with an init

AURORKA [14]

a) 19.4 cm

b) 3.2 m/s

Explanation:

a)

A horizontal spring-mass system has a motion called simple harmonic motion, in which the mass oscillates following a periodic function (sine or cosine) around an equilibrium position.

As the system oscillates back and forth, its total mechanical energy (sum of elastic potential energy and kinetic energy) will remain conserved (since we consider friction negligible). The elastic potential energy at any point is given by:

$U=\frac{1}{2}kx^2$

where

k is the spring constant

x is the displacement of the system

While the kinetic energy at any point is

$K=\frac{1}{2}mv^2$

where

m is the mass

v is the speed

So the total mechanical energy of the system is

$E=K+U=\frac{1}{2}mv^2+\frac{1}{2}kx^2$

For this system, when it is initially released,

m = 0.6 kg

k = 165 N/m

x = 7 cm = 0.07 m

v = 3 m/s

So the total energy is

$E=\frac{1}{2}(0.6)(3)^2+\frac{1}{2}(165)(0.07)^2=3.1 J$

Since friction is negligible, this total energy remains constant. Therefore, when the system reaches its maximum stretch during the motion, the kinetic energy will be zero and all the mechanical energy will be elastic potential energy; so we will have:

$E=U=\frac{1}{2}kx_{max}^2$

where $x_{max}$ is the maximum stretch. Solving for $x_{max}$ ,

$x_{max}=\sqrt{\frac{2E}{k}}=\sqrt{\frac{2(3.1)}{165}}=0.194 m$

So, 19.4 cm.

b)

The maximum speed in a spring-mass oscillating system is reached when the kinetic energy is maximum, and therefore, since the total energy is conserved, when the elastic potential energy is zero:

$U=0$

which means when the displacement is zero:

x = 0

So, when the system is transiting through the equilibrium position.

Therefore, the total mechanical energy is equal to the maximum kinetic energy:

$E=K=\frac{1}{2}mv_{max}^2$

where

m is the mass

$v_{max}$ is the maximum speed

Here we have:

E = 3.1 J

m = 0.6 kg

Therefore, solving for the maximum speed,

$v_{max}=\sqrt{\frac{2E}{m}}=\sqrt{\frac{2(3.1)}{0.6}}=3.2 m/s$

6 0

3 years ago

On what factors does the quantity of heat of an object depend?

Verizon [17]

Explanation:

This quantity is known as the specific heat capacity (or simply, the specific heat), which is the heat capacity per unit mass of a material. Experiments show that the transferred heat depends on three factors: (1) The change in temperature, (2) the mass of the system, and (3) the substance and phase of the substance.

7 0

3 years ago

The subject was placed in a strange room and appeared highly anxious, often fidgeting and glancing out the window every few seco

Xelga [282]

The answer is "A. qualitative".

Qualitative Research is essentially exploratory research. It is utilized to pick up a comprehension of fundamental reasons, sentiments, and inspirations. It gives bits of knowledge into the issue or creates thoughts or speculations for potential quantitative research. Qualitative Research is additionally used to reveal drifts in thought and feelings, and jump further into the issue. Qualitative information accumulation strategies change utilizing unstructured or semi-organized methods. Some basic strategies incorporate concentration gatherings (amass talks), singular meetings, and cooperation/perceptions. The example estimate is commonly little, and respondents are chosen to satisfy a given share.

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3 years ago

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What explosion in the upper solar atmosphere releases about as much energy as millions of 100-megaton hydrogen bombs exploding s

Alona [7]

Answer:

Solar flare

Explanation:

In the Sun when there is an sudden increase in brightness which is generally accompanied by a coronal mass ejection it is known as a solar flare. Solar flares occur close to Sun spot.

Coronal mass ejection is the release of matter (plasma) with a strong magnetic field from the corona of the Sun.

The energy they release ranges between $10^{20}-10^{25}\ Joules$ which is comparable to 100-megaton hydrogen bombs exploding simultaneously

3 0

3 years ago