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FinnZ
7 days ago
9

Solve A and B using energy considerations.

Physics
1 answer:
Yuliya22 [2.4K]7 days ago
7 0
 <span>Utilize the kinematic equation vf^2 = vi^2 + 2ad, where;
vf =?
vi = 0 m/s
a = 9.8 m/s^2
d1 = 10 m
d2 = 25 m

The final velocity upon reaching the ground (d1) is vf = sqrt(2)(9.8)(10) = 14 m/s. The final velocity at the base of the cliff (d2) is vf = sqrt(2)(9.8)(25) = 22.14 m/s.

</span>
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5. The speed of a transverse wave on a string is 170 m/s when the string tension is 120 ????. To what value must the tension be
Sav [2217]

Answer:

The tension in the string when the speed increased is 134.53 N

Explanation:

Given;

Tension in the string, T = 120 N

initial speed of the transverse wave, v₁ = 170 m/s

final speed of the transverse wave, v₂ = 180 m/s

The wave speed is expressed as;

v = \sqrt{\frac{T}{\mu} }

where;

μ represents mass per unit length

v^2 = \frac{T}{\mu} \\\\\mu = \frac{T}{v^2} \\\\\frac{T_1}{v_1^2} = \frac{T_2}{v_2^2}

The new tension T₂ will be computed as;

T_2 = \frac{T_1 v_2^2}{v_1^2} \\\\T_2 = \frac{120*180^2}{170^2} \\\\T_2 = 134.53 \ N

Consequently, the tension in the string when the speed was increased is 134.53 N

3 0
5 days ago
A test car carrying a crash test dummy accelerates from 0 to 30 m/s and then crashes into a brick wall. Describe the direction o
Maru [2337]

Answer:

The direction in which a vehicle accelerates aligns with its velocity direction. However, the force of acceleration works against the car's speed.

Explanation:

The car’s initial acceleration can be found using:

v = v₀ + a t

a = (v-v₀) t

which assumes the initial speed is zero (v₀ = 0 m/s).

a = v / t

a = 300 / t

The acceleration vector matches the direction of the vehicle's movement.

Upon hitting the wall, a force is exerted in the reverse direction to halt the car, thus this acceleration opposes the vehicle’s speed. However, the module should be much greater since the stopping distance is minimal.

5 0
24 days ago
A 5 kg object near Earth's surface is released from rest such that it falls a distance of 10 m. After the object falls 10 m, it
Ostrovityanka [2204]

Response:D

Clarification:

Provided

mass of object m=5 kg

Distance traveled h=10 m

resulting velocity v=12 m/s

energy conservation occurs starting when the object begins its descent and reaches a speed of 12 m/s

Initial Energy=mgh=5\times 9.8\times 10=490 J

Final Energy=\frac{1}{2}mv^2+W_{f}

=\frac{1}{2}\cdot 5\cdot 12^2+W_{f}

where W_{f} is the work done by friction, if any

490=360+W_{f}

W_{f}=130 J

As friction is present, this indicates an open system with a net external force of zero.

An open system allows for the exchange of energy and mass, and the presence of friction indicates that it is indeed an open system.

4 0
22 days ago
Situation 6.1 A 13.5-kg box slides over a rough patch 1.75 m long on a horizontal floor. Just before entering the rough patch, t
Softa [2029]
B) 14.0 N

To address this inquiry, we need to evaluate the kinetic energy of the box before and after crossing the rough section. The kinetic energy is given by the formula:

E = 0.5 M V^2

where

E = Energy

M = Mass

V = velocity

Now, utilizing the known data, we compute the energy prior and post.

Before:

E = 0.5 M V^2

E = 0.5 * 13.5kg * (2.25 m/s)^2

E = 6.75 kg * 5.0625 m^2/s^2

E = 34.17188 kg*m^2/s^2 = 34.17188 joules

After:

E = 0.5 M V^2

E = 0.5 * 13.5kg * (1.2 m/s)^2

E = 6.75 kg * 1.44 m^2/s^2

E = 9.72 kg*m^2/s^2 = 9.72 Joules

Hence, the box consumed energy equal to 34.17188 J - 9.72 J = 24.451875 J over a length of 1.75 meters. Next, we will calculate the loss per meter by dividing the energy loss by the distance traversed.
24.451875 J / 1.75 m = 13.9725 J/m = 13.9725 N

When we round to one decimal point, we arrive at 14.0 N, which corresponds with option “B.”
8 0
2 days ago
A 100-watt light bulb radiates energy at a rate of 100 J/s. (The watt, a unit of power or energy over time, is defined as 1 J/s.
Keith_Richards [2256]

Answer:

2.64\times 10^{20} The number of photons emitted each second is

Explanation:

Let 'n' stand for the quantity of photons released by the bulb.

Provided Information:

The bulb radiates energy at a rate of 100 J per second (E).

Wavelength of emitted light is (λ) = 525 nm = 525\times 10^{-9}\ m

The energy of a photon is calculated by:

Where,

E_0=\frac{hc}{\lambda}

Now, if we have 'n' photons, the total energy is equivalent to the energy of a single photon multiplied by the count of photons. Thus,

h\to Planck's\ constant=6.626\times 10^{-34}\ Js\\\\c\to Speed\ of \ light=3\times 10^{8}\ m/s

To express in terms of 'n', we find:

E=nE_0\\\\E=\frac{nhc}{\lambda}

Insert the provided values and solve for 'n'. The resulting calculation yields

n=\frac{E\lambda}{hc}

Consequently,

photons are discharged every second.n=\frac{100\times 525\times 10^{-9}}{6.626\times 10^{-34}\times 3\times 10^{8}}\\\\n=2.64\times 10^{20}

2.64\times 10^{20}

8 0
10 days ago
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