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kvasek [131]
3 years ago
13

Coasting due west on your bicycle at 8.4 m/s, you encounter a sandy patch of road 7.2 m across. When you leave the sandy patch,

your speed has been reduced to 6.4 m/s. What is the bicycles acceleration in the sandy patch? assume that the acceleration is constant and that the direction of travel is the positive direction.
Physics
1 answer:
Nady [450]3 years ago
5 0

Answer:

-2.1 m/s²

Explanation:

Given:

v₀ = 8.4 m/s

v = 6.4 m/s

Δx = 7.2 m

Find: a

v² = v₀² + 2aΔx

(6.4 m/s)² = (8.4 m/s²) + 2a (7.2 m)

a = -2.1 m/s²

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vivado [14]

Answer: C) time

Explanation:

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If s is the specific heat capacity of 4kg water, what is the specific heat capacity of 16kg
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2 years ago
A hollow non-conducting spherical shell has inner radius R1 = 5 cm and outer radius R2 = 19 cm. A charge Q = -35 nC lies at the
Gnom [1K]

Answer:

a. E = -13.8 kN/C

b. E = +8.51 kN/C

Explanation:

We will apply Gauss' Law to the regions where the electric field is asked.

Gauss' Law states that if you draw an imaginary surface enclosing a charge distribution, then the electric field through the imaginary surface is equal to the total charge enclosed by this surface divided by electric permittivity.

\int\vec{E}d\vec{a} = \frac{Q_{\rm enc}}{\epsilon_0}

a. For this case, we will draw the imaginary surface between the inner and outer shell of the sphere. The total charge enclosed by this surface will be equal to the sum of the charge Q at the center and charge of the shell within the volume from R1 and r.

Here, r = 0.5(R1+R2) = 12 cm.

E4\pi r^2 = \frac{Q_{\rm enc}}{\epsilon_0}\\Q_{\rm enc} = Q + \rho V_{\rm enc} = Q + (Ar) (\frac{4}{3}\pi (r^3 - R_1^3)) = (-35\times 10^{-9}) + (16\times 10^{-6})(12\times 10^{-2})(\frac{4}{3}\pi((12\times 10^{-2})^3 - (5\times 10^{-2})^3)) = -2.21\times 10^{-8}~C

E = \frac{-2.21\times 10^{-8}}{4\pi (12\times10^{-2})^2 \epsilon_0} = -1.38\times 10^4~N/C\\E = -13.8~kN/C

b. For this case, we will draw the imaginary surface on the outside of the shell.

The total charge enclosed by this surface will be equal to the sum of the charge at the center and the total charge of the shell.

Q_{\rm enc} = Q + \rho V = Q + (Ar)[\frac{4}{3}\pi (R_2^3 - R_1^3)]\\Q_{\rm enc} = (-35\times 10^{-9}) + [(16\times 10^{-6})(38\times 10^{-2})][\frac{4}{3}\pi((19\times 10^{-2})^3 - (5\times 10^{-2})^3)]\\Q_{\rm enc} = 1.36\times 10^{-7}~C

E = \frac{1.36\times 10^{-7}}{4\pi (38\times10^{-2})^2 \epsilon_0} = 8.51\times 10^3~N/C\\E = 8.51~kN/C

7 0
3 years ago
The velocity of a car decreases from 30 m/s to 18 m/s in a
Lana71 [14]

Answer:

-3 m/s²

Explanation:

average acceleration formula: (final velocity - initial velocity) ÷ time

\frac{final \: velocity \:  -  \: initial \: velocity}{time}

FV: 18 m/s

IV: 30 m/s

T: 4 s

\frac{18 - 30}{4}

that is equal to -3

hopefully this is correct :)

8 0
2 years ago
Name the principal on which a rocket works
Andre45 [30]
The rocket works on the principal of action and reaction. Newton's third law of motion.
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