in order to qualify for the finals in a racing event, a race car must achieve an average speed of 250 km/h on a track with a total length of 1600 m.

Answer:

[tex]4800\; {\rm kg}[/tex].

Explanation:

When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object would be [tex]p = m\, v[/tex].

Momentum is conserved immediately after the collision. Hence, the momentum that the [tex]3600\; {\rm kg}[/tex] vehicle lost in the collision would be equal to the momentum that the other vehicle has gained.

Momentum that the [tex]3600\; {\rm kg}[/tex] vehicle lost:

[tex]\begin{aligned}(\text{momentum change}) &= (\text{new momentum}) - (\text{original momentum}) \\ &= m\, v(\text{new}) - m\, v(\text{old}) \\ &= m\, (v(\text{new}) - v(\text{old})) \\ &= 3600\; {\rm kg} \, (9.0\; {\rm m\cdot s^{-1}} - 21.0\; {\rm m\cdot s^{-1}}) \\ &= (-43200)\; {\rm kg \cdot m \cdot s^{-1}}\end{aligned}[/tex].

The vehicle that was originally at rest would have gained that [tex]43200\; {\rm kg \cdot m\cdot s^{-1}}[/tex] of momentum. The momentum of that vehicle was [tex]0\; {\rm kg \cdot m \cdot s^{-1}}[/tex] before the collision since that vehicle was initially not moving. After gaining the [tex]43200\; {\rm kg \cdot m\cdot s^{-1}}\![/tex] of momentum, the new momentum of that vehicle would be [tex]p = 43200\; {\rm kg \cdot m\cdot s^{-1}}\!\![/tex].

Rearrange the equation [tex]p = m\, v[/tex] to obtain an expression for mass: [tex]m = (p / v)[/tex]. It is given that the velocity of this vehicle is [tex]v = 9.0\; {\rm m\cdot s^{-1}}[/tex] after the collision. Substitute both momentum [tex]p[/tex] and velocity [tex]v[/tex] into the equation [tex]m = (p / v)\![/tex] to find mass [tex]m\![/tex]:

[tex]\begin{aligned} p &= \frac{m}{v} \\ &= \frac{43200\; {\rm kg \cdot m \cdot s^{-1}}}{9.0\; {\rm m\cdot s^{-1}}} \\ &= 4800\; {\rm kg} \end{aligned}[/tex].

In other words, the mass of the vehicle that was originally not moving would be [tex]4800\; {\rm kg}[/tex].

Answer:

Average: 22.142857142857  

Average =  

Sum

Count

=  

155

7

=  22.142857142857

Sum 155

Count 7

Median 23

Geometric Mean 16.412764443111

Largest 38

Smallest 2

Range 36

Answer:

15.4

Explanation:

The answer is 200 joules.

Answer:

Its answer is 200joule.

Explanation:

Hope it's helpful for you

Answer:

Smoke alarms detect fires by sensing small particles in the air using a couple of different kinds of technologies. Once they detect those particles above a certain threshold, they signal the alarm to sound so that you and your family can get to safety and call 911. Smoke alarms save lives.

Answer:

is there any options

Explanation:

Answer:

D.) South American becomes dire than normal

Explanation:

La Niña effect can be regarded as an effect that has impacts on the global climate, this effect bring about disruption in normal weather patterns, as a result of this intense storms as well as drought is experienced. The effect could be intense by worsening of above temperature. It bring an increases the probability of having a rainfall below normal. As a result of this

South American becomes dire than normal.

Answer:

Answer:

Three Laws

Newton's Three Laws of Motion. Sir Isaac Newton: The Universal Law of Gravitation. Sir Isaac Newton and the Unification of Physics & Astronomy.

Explanation:

Because most particles fired at metal foil passed straight through, Rutherford concluded that only a small area of an atom is positively charged called the nucleus.

Rutherford's atomic model states that the atom is a small-sized particle that is composed of other fundamental objects i.e. electrons, protons, and neutrons.

In the core of an atom, there is an extremely dense, tiny-sized object called the nucleus which is positively charged.

Moreover, the nucleus is the central point containing all the mass of an atom around which negatively charged particles revolve in circular paths called electrons.

To put it simply, this model suggests that when electrons interacted with atoms in gold metal foil, only a few changed their path after colliding with the massive dense nucleus.

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Answer:

I think the correct answer from the choices listed above is option A. The correct arrangement of the substances according to the most to the least ordered particle arrangement should be wood, water and neon gas. Wood should be the first since it is solid which has the most ordered structure as compared to the liquid and a gas. The neon gas is the last since as a gas it has the least ordered structure.

Answer:

A) wood, water, neon gas

Explanation:

wood, water, neon gas.

The particles of solids have an arrangement that is highly ordered and regular. Liquids have an arrangement that is less ordered, and the particle arrangement in gases is the least ordered and regular of the three states of matter.

tell me if im wrong .... hope this helps :)

Answer:

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Answer: Newton's third law of motion states that for every action, there is an equal and opposite reaction. When a player hits a ball with a bat, the force the player exerted on the ball through the bat gave the ball a push force in the forward direction.

Explanation:

The first one is C!

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If a bird flew from my house to the sandwich shop in a straight line, it would travel a distance of 10.44 miles.

The direction that it  should  fly from my house to get to the shop is at an angle 73.30°.

Pythagorean theorem-

The position vector are

OA = -6j AB = -10iBC=3j

where

O is the position of the house

C is the position of the shop.

Now drawing a perpendicular from C to OA at P we have,

Thus we have,

PC = 10i

PA = 3j

Thus,

OP = OA - PA = -6j + 3j = -3j

OC is the resultant of CP and OP

a) Thus the magnitude of OC

| OC | = √CP^2 + OP^2

= √ (10^2 +3^2) =10.44

b) The angle made by OC with OP

tan θ = OP/CP = 10/3

θ = 73.30°

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The height of the point where it hits the ball is 20.171 m.

When a batter hits a ball high in a baseball game,

Time till the ball remains in the air, t = 4.06 seconds.

The acceleration of gravity, g = 9.8 m/s².

The vertex value of time is half of the time, the ball remains in the air

i.e. [tex]\frac{4.06}{2}[/tex] = 2.03 s

Final velocity (v) at the maximum height will be 0

So, According to the First Equation of Motion:

v - u = gt

u = - gt

u = -9.8 × 2.03

u = -19.894 m/s

Now, by using the Second Equation of Motion:

v² - u² = 2gh

Since v = 0

[tex]h = \frac{u^{2} }{2g}[/tex]

h = [tex]\frac{19.894^{2} }{2 * 9.81}[/tex]

h = 20.171 m

The ball will rise 20.171 meter high.

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Answer:

The five basic types of chemical reactions are combination, decomposition, single-replacement, double-replacement, and combustion

Explanation:

The five basic types of chemical reactions are combination, decomposition, single-replacement, double-replacement, and combustion. Analyzing the reactants and products of a given reaction will allow you to place it into one of these categories

Answer:

"The sun releases energy at a mass–energy conversion rate of 4.26 million metric tons per second, which produces the equivalent of 384.6 septillion watts (3.846×1026 W)."

Explanation:

This might help you, also this is searched.

Answer:

[tex] \sf t = \dfrac{V_f - V_i}{a} [/tex]

Explanation:

[tex] \rm V_f = V_i + at \\ \rm V_f - V_i = at \\ \rm at = V_f - V_i \\ \rm t = \dfrac{V_f - V_i}{a} [/tex]

Justin's average speed for the triathlon is 15.23km/h

Average speed is the total distance covered in total time taken.

(given) 28 minutes to finish the 1500 meter swim

1.75 hours for the 40 kilometer biking portion

70 minutes for the 10 kilometer run

total distance covered = 1500m + 40 km+ 10 km

                                   = 51500m = 51.500km

                                            (1km = 1000m)

total time taken = 28mint + 1.75hr + 70 mint

                           = 203mint

                time in hours = 203/60 hr

                                            (1hour = 60 mint)

average speed = total distance covered / time taken

   = 51.5 x  203/60                    

    = 15.23km/h

Justin's average speed for the triathlon is 15.23km/h

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Answer:

Explanation:

The correct option of the given question will be option © that is frequency changes.

According to the Doppler Effect, when source is moving towards the observer then the frequency increases and when the source is moving away from the observer then the frequency decreases, but the magnitude of the amplitude in both the cases will remain same. Whereas the speed of sound waves will remain constant as it was earlier. According to this effect, when there is a relative motion between the source and the observer then there will be the change in the frequency.

So, the correct answer will be that the frequency changes.

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By utilising a galaxy model that accurately explains all of the data that has been collected thus far.

In other words, while every star is a star, not every star is a Sun. Since the Sun is bigger than most stars, it is also more brighter. In our galaxy alone, there are billions of Suns, and as was already established, many of the stars we can see are Suns. However, a lot of what you see while gazing up into space is not a star.

The sizes of stars range from neutron stars, which can be about 12 miles (20 kilometres) across, to supergiants, which have a diameter that is 1,000 times larger than the sun. The brightness of a star is influenced by its size. Particularly, brightness and radius are related.

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The displacement at a constant acceleration of 3.0[tex]m/s^{2}[/tex] is 526.5m.

Distance, which is a scalar quantity, describes "how much ground an object has covered" while moving. The term "how far out of place an object is" relates to displacement, a vector number that describes the total change in position of the object.

For constant acceleration, displacement is:

[tex]d = (\frac{1}{2} ) (\frac{v_{f}^{2} - v_{i} ^{2} }{a} )[/tex]

[tex]d = \frac{60^{2}-21^{2} }{2*3}[/tex]

[tex]d = \frac{3600-441}{6}[/tex]

[tex]d = \frac{3159}{6}[/tex]

d = 526.5m

Therefore, the displacement at a constant acceleration of 3.0[tex]m/s^{2}[/tex] is 526.5m.

The complete question is: An airplane accelerates with a constant rate of 3.0m/s^2 starting at a velocity of 21m/s. If the final velocity is 60m/s what is the displacement during this period?

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Answer:

You should write the vectors in their proper sequence: i , j, k

If the vectors are perpendicular their dot product must be zero:

1) A dot B   is obviously zero since A and B have no common terms in i , j , k

2) looks like A = 2 i - 4 j + 3 k and B = i + 2 j + 2 k

A dot B = (2 * 1) + (-4 * 2) + (3 * 2) = 0

Note that the dot product produces a scalar with no direction (vector components)

Only i dot i, j dot j, and k dot k    have components   i dot j = zero, etc.

Answer:

The gravitational potential energy of the ball is 39,200 J

Explanation:

Gravitational Potential Energy

It is the energy stored in an object because of its vertical position or height in a gravitational field.

It can be calculated with the equation:

U=m.g.h

Where m is the mass of the object, h is the height with respect to a fixed reference, and g is the acceleration of gravity or [tex]9.8 m/s^2[/tex].

The wrecking ball is hung at a height of h=20 m and has a mass of m=200 Kg. Substituting in the formula:

U=200*9.8*20

U = 39,200 J

The gravitational potential energy of the ball is 39,200 J

The correct answer is 2.51 m/s.

The principle of conservation of momentum states that an isolated system's total momentum will remain unchanged in the absence of an external force. In other words, momentum cannot be created or destroyed but can only be changed by the action of forces as they are described by Newton's laws of motion.

Momentum is the product of an item's mass and its speed, and it is also equivalent to the entire amount of force needed to bring an object to rest.

From the conservation of momentum,

[tex]m_1 u_1 + m_2 u_2 = ( m_1 + m_2 ) v[/tex]

Substitute the values, to get the required speed,

[ ( 0.45 ) ( 0 )] + [ ( 0.67 )([tex]u_2[/tex])] = ( 0.45 + 0.67 ) ( 1.5 )

[tex]u_2[/tex] = 2.51 m/s

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Answer:

C

Explanation:

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Answer:

4ac (quadruples)

Explanation:

The general formula for centripetal acceleration is given as follows:

[tex]a_{c} = \frac{v^2}{r}\\\\[/tex]   -------------- equation (1)

where,

ac = centripetal acceleration

v = tangential speed

r = radius of circular path

Now, if we double tangential speed, v' = 2v, then the acceleration will become:

[tex]a_{c}' = \frac{(2v)^2}{r}\\\\a_{c}' = \frac{4v^2}{r}[/tex]

using equation (1):

[tex]a_{c}' = 4a_{c}[/tex]

therefore, the correct answer is:

4ac (quadruples)

Answer:

6m/s

Explanation:

A=d÷t

A=60÷10

6