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notsponge [240]
3 years ago
13

The driver of a car traveling at 23.1 m/s applies the brakes and undergoes a constant

Physics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

The tires make 125 revolutions before the car stops

Explanation:

Circular and Linear Motion

A tire rotates around a fixed point and the tire when in contact with the ground, drives a vehicle in a linear path. This is an example of a relationship between both types of movements that can be taking place simultaneously.

The car is moving with an initial speed of v_o=23.1\ m/s and then breaks at a=-1.03\ m/s^2 until it stops. We can compute the time take to stop by using

\displaystyle v_f=v_o+a.t

Solving for t

\displaystyle t=\frac{v_f-v_o}{a}

Putting in numbers

\displaystyle t=\frac{0-23.1}{-1.03}

\displaystyle t=22.427\ sec

Now, let's transfer this information to the circular motion. We know the tangent speed is

\displaystyle v_t=w.r

Being w the angular speed and r the radius of the circle, in this case, the tires. The tangent speed is the same as the speed of motion of the car. It gives us the initial angular speed

\displaystyle w_o=\frac{v_t}{r}

\displaystyle w_o=\frac{23.1}{0.33}=70\ rad/s

When the circular motion is not uniform, i.e. there is angular acceleration \alpha, the angular speed is a function of time

\displaystyle w=w_o+\alpha t

We can compute the angular acceleration knowing the final angular speed is zero when the car stops.

\displaystyle \alpha=\frac{w-w_o}{t}=\frac{0-70}{22.427}

\displaystyle \alpha=-3.121\ rad/s^2

The rotation angle is also a function of time as shown

\displaystyle \theta=w_o\ t+\frac{\alpha t^2}{2}

Using the given and computed values

\displaystyle =70(22.427)-\frac{3.121(22.427)^2}{2}

\displaystyle \theta =784.95\ rad

Knowing each revolution is 2\pi radians, the number of revolutions is

\displaystyle n=\frac{\theta }{2\pi}=125\ rev

The tires make 125 revolutions before the car stops

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Answer: The correct option is A ( horizontally towards the east)

Explanation:

Magnetic field is a region around a magnet or a current- carrying conductor, where a magnetic force is experienced. The magnetic effect of electric current was first discovered in the early 1820 by Oersted. Using a wire that had current flowing through it and a pivoted magnetic needle, he discovered that the direction of deflection depended on the direction of the current and whether the wire was above or below the needle.

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The above discovery was now modified in Fleming's left hand rule which states that when conductor carrying current is placed in a magnetic field, the conductor will experience a force perpendicular to both the field and the flow of current.

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The ideal mechanical advantage of a pulley system is equal to the?
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Answer:

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Explanation:

Since there will be no potential energy when the ball is on the ground, the change in potential energy is equal to the potential energy at the start when the ball is 19.6m above the ground.

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