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DaniilM [7]
3 years ago
13

A motorcyclist is traveling at 51.9 mph on a flat stretch of highway during a sudden rainstorm. The rain has reduced the coeffic

ient of static friction between the motorcycle's tires and the road to 0.076 when the motorcyclist slams on the brakes. (a) What is the minimum distance required to bring the motorcycle to a complete stop? (b) What would be the stopping distance if it were not raining and the coefficient of static friction were 0.580?

Physics
2 answers:
stira [4]3 years ago
8 0

Answer: a) 361.23m

b) 47.38m

Explanation:

Friction is opposite in direction to an applied force

Find the attached file for the solution

(b) The distance traveled with the friction of rain-free conditions is 47.38 m.

xz_007 [3.2K]3 years ago
7 0

Answer:

Part (a) 361m

Part (b) 47.4m

This problem involves involves the nonconservative frictional force. To solve this problem. The energy approacb will be used. The energy conservation is used to relate the work done by the frictional force over the required distance to the kinetic energy of the motorcycle before the brakes are applied.

Explanation:

The equation is

K1 + U1 + Wf = K2 + U2

Where U standa for potential energy which in this case is zero as the height of the motorcycle does not change over the distance of the application of the brakes to the tyres. The work of friction is negative.

The full solution can be found in the attachment below.

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A copper wire and a tungsten wire of the same length have the same resistance. What is the ratio of the diameter of the copper w
spayn [35]

Answer:

Therefore the ratio of diameter of the copper to that of the tungsten is

\sqrt{3} :\sqrt{10}

Explanation:

Resistance: Resistance is defined to the ratio of voltage to the electricity.

The resistance of a wire is

  1. directly proportional to its length i.eR\propto l
  2. inversely proportional to its cross section area i.eR\propto \frac{1}{A}

Therefore

R=\rho\frac{l}{A}

ρ is the resistivity.

The unit of resistance is ohm (Ω).

The resistivity of copper(ρ₁) is 1.68×10⁻⁸ ohm-m

The resistivity of tungsten(ρ₂) is 5.6×10⁻⁸ ohm-m

For copper:

A=\pi r_1^2 =\pi (\frac{d_1}{2} )^2

R_1=\rho_1\frac{l_1}{\pi(\frac{d_1}{2})^2 }

\Rightarrow (\frac{d_1}{2})^2=\rho_1\frac{l_1}{\pi R_1 }......(1)

Again for tungsten:

R_2=\rho_2\frac{l_2}{\pi(\frac{d_2}{2})^2 }

\Rightarrow (\frac{d_2}{2})^2=\rho_2\frac{l_2}{\pi R_2 }........(2)

Given that R_1=R_2   and    l_1=l_2

Dividing the equation (1) and (2)

\Rightarrow\frac{ (\frac{d_1}{2})^2}{ (\frac{d_2}{2})^2}=\frac{\rho_1\frac{l_1}{\pi R_1 }}{\rho_2\frac{l_2}{\pi R_2 }}

\Rightarrow( \frac{d_1}{d_2} )^2=\frac{1.68\times 10^{-8}}{5.6\times 10^{-8}}   [since R_1=R_2   and    l_1=l_2]

\Rightarrow( \frac{d_1}{d_2} )=\sqrt{\frac{1.68\times 10^{-8}}{5.6\times 10^{-8}}}

\Rightarrow( \frac{d_1}{d_2} )=\sqrt{\frac{3}{10}}

\Rightarrow d_1:d_2=\sqrt{3} :\sqrt{10}

Therefore the ratio of diameter of the copper to that of the tungsten is

\sqrt{3} :\sqrt{10}

8 0
3 years ago
A student throws a rock upwards. The rock reaches a maximum height 2.4 seconds after it was released.
Allisa [31]

Answer:

23.52 m/s

Explanation:

The following data were obtained from the question:

Time taken (t) to reach the maximum height = 2.4 s

Acceleration due to gravity (g) = 9.8 m/s²

Initial velocity (u) =..?

At the maximum height, the final velocity (v) is zero. Thus, we can obtain how fast the rock (i.e initial velocity)

was thrown as follow:

v = u – gt (since the rock is going against gravity)

0 = u – (9.8 × 2.4)

0 = u – 23.52

Collect like terms

0 + 23.52 = u

u = 23.52 m/s

Therefore, the rock was thrown at a velocity of 23.52 m/s.

7 0
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What is the unit of measurement for expressing the intensity of sound
Irina18 [472]
Decibel - the decibel is a relative unit of measurement equal to one 10th of a bel
5 0
2 years ago
Does anyone know how to solve this?
kompoz [17]

Answer:

110 m

Explanation:

Draw a free body diagram of the car.  The car has three forces acting on it: normal force up, weight down, and friction to the left.

Sum of the forces in the y direction:

∑F = ma

N − mg = 0

N = mg

Sum of the forces in the x direction:

∑F = ma

-F = ma

-Nμ = ma

Substitute:

-mgμ = ma

-gμ = a

Given μ = 0.40:

a = -(9.8 m/s²) (0.40)

a = -3.92 m/s²

Given that v₀ = 30 m/s and v = 0 m/s:

v² = v₀² + 2aΔx

(0 m/s)² = (30 m/s)² + 2 (-3.9s m/s²) Δx

Δx ≈ 110 m

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3 years ago
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