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Naddika [18.5K]
3 years ago
10

A person is driving down a country lane at 25 m/s, when a deer suddenly jumps in front of the car. The deer is 75 m ahead and wh

en the driver hits the brakes, the car slows at a rate of 4.20 m/s each second. Does the car hit the deer?
Physics
2 answers:
lions [1.4K]3 years ago
4 0

We can use the equation for Newtons third law.

fv² - iv² = 2as

Variables:

fv = final velocity (0)

iv = inital velocity (25)

s = distance traveled (?)

a = acceleration (-4.2)

We are given all variables except "s".

Solve for s:

fv² - iv² = 2as

0² - 25² = 2(-4.2)s

625 = -8.4s

74.4 ≈ s

Since 74.4 < 75, the car does not hit the deer.

Best of Luck!

Mrrafil [7]3 years ago
4 0

Answer:

The car does not hit the deer.

Explanation:

In order to find out, whether the car stops before hitting the dear or not, we will use 3rd equation of motion.

2as = Vf² - Vi²

where,

s = distance covered by car before stopping = ?

a = deceleration of car = - 4.2 m/s²

Vf = Final Velocity of the Car = 0 m/s (Since, the car finally stops)

Vi = Initial Velocity of the Car = 25 m/s

Therefore,

2(- 4.2 m/s²)s = (0 m/s)² - (25 m/s)²

s = (- 625 m²/s²)/(-8.4 m/s²)

<u>s = 74.4 m</u>

So, the car stops in 74.4 m, while the deer is at a distance of 75 m.

<u>Hence, the car does not hit the deer.</u>

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Answer:

\boxed {\boxed {\sf 100,000 \ Joules}}

Explanation:

Kinetic energy is energy due to motion. The formula is half the product of mass and velocity squared.

E_k= \frac{1}{2} mv^2

The mass of the roller coaster car is 2000 kilograms and the car is moving 10 meters per second.

  • m= 2000 kg
  • s= 10 m/s

Substitute these values into the formula.

E_k= \frac{1}{2} (2000 \ kg ) \times (10 \ m/s)^2

Solve the exponent.

  • (10 m/s)²= 10 m/s * 10 m/s= 100 m²/s²

E_k= \frac{1}{2} (2000 \ kg ) \times (100 \ m^2/s^2)

Multiply the first two numbers together.

E_k= 1000 \ kg  \times (100 \ m^2/s^2)

Multiply again.

E_k= 100,000 \ kg*m^2/s^2

  • 1 kilogram square meter per square second is equal to 1 Joule.
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E_k= 100,000 \ J

The roller coaster car has <u>100,000 Joules</u> of kinetic energy.

3 0
3 years ago
(a) Calculate the self-inductance (in mH) of a 55.0 cm long, 10.0 cm diameter solenoid having 1000 loops.
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Explanation:

(a) We have,

Length of solenoid, l = 55 cm = 0.55 m

Diameter of the solenoid, d = 10 cm

Radius, r = 5 cm = 0.05 m

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L=\dfrac{\mu_o N^2A}{l}

A is area

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3 years ago
A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the a
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Answer:

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Explanation:

For this exercise we can calculate the value of the constant and the electric field produced,

Let's start by calculating the value of the constant C

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           C = V / x^{4/3}

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We evaluate from the lower limit x = 0 E = E₀ = 0 to the upper limit x = x, E = E

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           E = 7.19 10² / ∛x

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<h3>What is a bar magnet?</h3>

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A bar magnet like every other magnet possesses a magnetic field that points from the north pole to the south pole.

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