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loris [4]
2 years ago
9

The parking brake on a 1000 kg Cadillac has failed, and it is rolling slowly, at 1 mph , toward a group of small children. Seein

g the situation, you realize you have just enough time to drive your 2000 kg Volkswagen head-on into the Cadillac and save the children.
Physics
1 answer:
GalinKa [24]2 years ago
6 0
Um of momenta = 0( Since both the cars stop) 
<span>Let m1 be the mass of the cadillac and m2 be the mass of the volkswagen. </span>
<span>then, v1=speed of cadillac and v2=speed of volkswagen. </span>
<span>Therefore, (m1)*(v1) + (m2)*(v2) = 0 </span>
<span>Substituting, </span>
<span>(1000*4) + (2000*v2) = 0 </span>
<span>4000 = - 2000 v2 </span>
<span>Therefore, v2= - 2 m/s. </span>
You might be interested in
SCALCET8 3.9.018.MI. A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the
Firlakuza [10]

Answer:

The length of his shadow is decreasing at a rate of 1.13 m/s

Explanation:

The ray of light hitting the ground forms a right angled triangle of height H, which is the height of the building and width, D which is the distance of the tip of the shadow from the building.

Also, the height of the man, h which is parallel to H forms a right-angled triangle of width, L which is the length of the shadow.

By similar triangles,

H/D = h/L

L = hD/H

Also, when the man is 4 m from the building, the length of his shadow is L = D - 4

So, D - 4 = hD/H

H(D - 4) = hD

H = hD/(D - 4)

Since h = 2 m and D = 12 m,

H = 2 m × 12 m/(12 m - 4 m)

H = 24 m²/8 m

H = 3 m

Since L = hD/H

and h and H are constant, differentiating L with respect to time, we have

dL/dt = d(hD/H)/dt

dL/dt = h(dD/dt)/H

Now dD/dt = velocity(speed) of man = -1.7 m/s ( negative since he is moving towards the building in the negative x - direction)

Since h = 2 m and H = 3 m,

dL/dt = h(dD/dt)/H

dL/dt = 2 m(-1.7 m/s)/3 m

dL/dt = -3.4/3 m/s

dL/dt = -1.13 m/s

So, the length of his shadow is decreasing at a rate of 1.13 m/s

5 0
2 years ago
the maximum intensity levels of a trumpet, trombone, and a bass drum, each at a distance of 3m are 94 dB, 107dB, and 113dB respe
Gwar [14]

Answer:

β = 114 db

Explanation:

The intensity of sound in decibles is

          β = 10 log \frac{I}{I_{o}}

in most cases Io is the hearing threshold 1 10-12 W / cm²

let's calculate the intensity of each instrument

            I / I₀ = 10 (β / 10)

            I = I₀ 10 (β / 10)

trumpet

            I1 = 1 10⁻¹² 10 (94/10)

            I1 = 2.51 10⁻³ / cm²

Thrombus

           I2 = 1 10⁻¹² 10 (107/10)

           I2 = 5.01 10-2 W / cm²

low

           I3 =1 1-12    (113/10) W/cm²

            I3 = 1,995 10-1 W / cm²

when we place the three instruments together their sounds reinforce

           I_total = I₁ + I₂ + I₃

           I_ttoal = 2.51 10-3 + 5.01 10-2 + ​​1.995 10-1

           I_total = 0.00251 + 0.0501 + 0.1995

           I_total = 0.25211 W / cm²

let's bring this amount to the SI system

         β = 10 log (0.25211 / 1 10⁻¹²)

           β = 114 db

7 0
2 years ago
Imagine a 15kg block moving with a speed of 20m/s. Calculate the kinetic energy of this block. (Show the equation, show your wor
dmitriy555 [2]

Answer:

The answer to your question is:        Ke = 3000 Joules

Explanation:

Data

mass = 15 kg

speed = 20 m/s

Kinetic energy = ?

Equation

               Ke = \frac{1}{2}mv^{2}

               Ke = \frac{1}{2}(15)(20)^{2}

                Ke = 3000 Joules

5 0
3 years ago
Read 2 more answers
Step 1, when solving a two dimensional, multi-charge problem, is to define the vectors. Please identify the next five steps, in
Maksim231197 [3]

Answer: The next 5 steps are.

step 2: Find the magnitude of vectors.

step 3: Calculate 'x' and 'y' components.

step 4: Sum the above obtained vector components.

step 5: Calculate the magnitude of Resultant Vector.

Step 6: Determine the direction of the resultant vector.

Explanation:

Let the two vectors be 'A' and 'B'.

Let A = x_{1} \hat{i}+y_{1}\hat{j}+z_{1}\hat{k} and B = x_{2} \hat{i}+y_{2}\hat{j}+z_{2}\hat{k}

It is given that, when solving a two dimensional, multi-charge problem, is to define the vectors.

So, step 1 is to define the vectors A and B.

In step 2, we find the magnitude of the vectors by,

|A|=\sqrt{x_1^2+y_1^2+z_1^2}

|B|=\sqrt{x_2^2+y_2^2+z_2^2}

In step 3, we find the components 'x' and 'y'

Then in step 4, we sum the components. Now we get the Resultant vector (R).

In step 5, Calculate the magnitude of 'R' using the above formula to find magnitude.

In step 6, we determine the direction of 'R'.

4 0
3 years ago
Read 2 more answers
Materials that conduct heat and electricity well in the solid state result when
MA_775_DIABLO [31]
Materials that conduct heat and electricity well in the solid state result when metals bond with metals. <span>This type of bonding is called metallic bonding. Metallic bonding is when positive ions (metals) are in a 'sea of negative electrons'. The electrons are delocalised, which means they can move around easily and carry charge, and this enables it to conduct electricity, even in a solid state.</span>
8 0
3 years ago
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