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lara31
2 months ago
14

A car traveling at 30 m/s runs out of gas while traveling up a 10 slope. how far up the hill what coast before starting to roll

back down?
Physics
1 answer:
Yuliya22 [3.3K]2 months ago
3 0

Answer:

264.7 m

Explanation:

The force exerted on the vehicle as it moves up the incline corresponds to the weight component that aligns with the slope, hence:

F=-mg sin \theta

where

m denotes the vehicle's mass

g = 9.8 m/s² represents gravitational acceleration

\theta=10^{\circ}

and the negative sign indicates the force acts against the vehicle's direction of movement

Thus, the vehicle's acceleration is calculated as:

a=\frac{F}{m}=-gsin \theta=-9.8 sin 10^{\circ}=-1.7 m/s^2

To determine the distance the vehicle ascended, we can apply the equation:

v^2-u^2 = 2ad

where

v = 0 is the vehicle's final speed

u = 30 m/s signifies the initial speed

g = -1.7 m/s² stands for the acceleration

d is the distance traveled

By solving for d,

d=\frac{v^2-u^2}{2a}=\frac{0-30^2}{2(-1.7)}=264.7 m

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How many electrons does it take to make 80 μc (microcoulombs) of charge?
serg [3582]

The charge for a single electron is 1.602*10^ -19 C

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2 months ago
The Hall effect can be used to calculate the charge-carrier number density in a conductor. If a conductor carrying a current of
kicyunya [3294]

Answer:

6.6*10^{27}e/m^3

Explanation:

When calculating Hall voltage, it is crucial to have the current, magnetic field strength, length, area, and number of charge carriers available. The Hall voltage can be expressed using the equation:

V_h = \frac{iB}{neL}

Where:

i= the current

B= the magnetic field strength

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We need to replace values and solve for n:

n= \frac{iB}{V_h e L}

n= \frac{2*1.2}{4.5*10^{-6}*5^10^{-3}*1.6*10^{-19}}

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2 months ago
The spring is now compressed so that the unconstrained end moves from x=0 to x=L. Using the work integral W=∫xfxiF⃗ (x⃗ )⋅dx⃗ ,
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solution:

the spring force applied by a spring with spring constant k can be expressed as

F(x)=-kx

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to determine the work completed by the spring

W=\int\limits^L_0 {} \, dW

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substituting the limits x=0 and x=L

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ANSWER

W=-kL^2/2

4 0
1 month ago
A child's toy is suspended from the ceiling by means of a string. The Earth pulls downward on the toy with its weight force of 8
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