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Bingel [31]
3 years ago
7

A car starts from rest and accelerates at a steady 6.00 m/s 2. How far does it travel in the first 3.00 s?

Physics
2 answers:
Ivan3 years ago
6 0

Answer:

Explanation:

Given

car starts from rest i.e. initial velocity is zero (u=0)

acceleration a=6\ m\s^2

Time take t=3\ s

using

x=ut+\frac{1}{2}at^2

where  

x=displacement

u=initial velocity

a=acceleration

t=time

so car travels 27 m in first 3 second

                     

valentina_108 [34]3 years ago
5 0

Answer:

s = 27 m

Explanation:

given,

acceleration of the car, a = 6 m/s²

time of the travel, t = 3 s

final speed of the car, v = 0 m/s

using equation of motion

v = u + a t

0 = u - 6 x 3

u = 18 m/s

initial speed of the car = 18 m/s

Again using equation of motion

v² = u² + 2 a s

0 = 18² - 2 x 6 x s

12 s = 324

 s = 27 m

Distance travel by the car is equal to 27 m.

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Answer:

final-temperature = T_{f} = 252.51K

Explanation:

we can solve this problem by using the first law of thermodynamics.

    \Delta U= Q-W

Q= heat added

U= internal energy

W= work done by system

                        E_{final}= E_{initial}

<u> C_{v} (N_{2}) C_{v}(He) T_{f} =C_{v}( N_{2}) T_{N_{2} } C_{v} (He) T_{He}    (1)</u>

C_{v}(N_{2})=1.04\frac{KJ}{Kg K}

C_{v}(He)=5.193\frac{KJ}{Kg K}

now

From equation 1

T_{f}=\frac{C_{v}( N_{2}) T_{N_{2} } C_{v} (He) T_{He}}{C_{v} (N_{2}) C_{v}(He)}

T_{f} = \frac{315\times1.04+5.193\times240}{1.04+5.193}

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4 0
4 years ago
If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she
loris [4]

Answer:

She would travel 175.5 m in the same amount of time

Explanation:

Here is the complete question:

Seven bicyclist are racing. Each bicyclist rides for 9s. If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she travel during the race in the same amount of time)?

Explanation:

To determine how far she would travel in the same amount of time, that is the distance she would cover in the same amount of time

From the question,

The bicyclist has an initial velocity of zero

That is, u = 0 m/s

and a final velocity of 39 m/s

That is, v = 39 m/s

Each bicyclist rides for 9s,

She also traveled for the same amount of time

that is, t = 9s

To determine the distance,

From one of the equations of motion for linear motion

s = \frac{1}{2} t(u + v)

Then

s = \frac{1}{2} (9)(0+39)

s = 4.5 (39)

s = 175.5 m

Hence, she would travel 175.5 m in the same amount of time

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4 years ago
A non-relativistic particle of mass m moves in one dimension x under the force
marin [14]

Answer:

U = - (x⁴ / 4 - b x² / 2) , c) The function is zero  for x = 0 and √2

Explanation:

a and b) Strength and potential energy are related

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Therefore to find the energy we must integrate

            ∫ dU = -∫ F dx

            ∫ dU = - ∫ (a x³ –b x) dx

Let's make the integration

             U = - (x⁴ / 4 - b x² / 2)

We evaluate the integral between the value

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c) Mechanical energy is the sum of kinetic energy plus potential energy

        Em = K + U

        Em = ½ m v² + ½ (x² -x⁴ / 2)

       E = ½ m v² + ½ x² (1 - x² / 2)

       Energy is positive

        2 (E –K) = x² (1-x² / 2)

At the return points K = 0

The zero points of this function are

     x = 0

     (1- x² / 2) = 0

     x² = 2

    x = √ 2

The function is zero

       x = 0 and √2

d) the movement is bounded for energy values ​​less than or equal to

            E <= ½ x² (1-x² / 2)

e) for this part we resolved Newton's second law

            F = m a

            ax³ - b x = m d²x / dt²

            d²x / dt² = -b / m x + a / m x³3

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             w₀² = b / m

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4 years ago
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AleksAgata [21]

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Explanation:

8 0
4 years ago
Hockey puck B rests on a smooth ice surface and is struck by a second puck A, which has the same mass. Puck A is initially trave
Marina86 [1]

Answer:

a.v_{b2}=6.8544 \ m/s\\\\b. v_{a2}=12.891 \ m/s\\\\c. \theta _b=62\textdegree

Explanation:

Puck A's initial speed is v_a_1=14.6m/s and move in a direction \theta_b=28.0\textdegree after the collision.

#P_1=P_2 since there's no external force on the system(P=mv).

#The collision equation can be written as;

m_av_a_1+m_bv_b_1=m_av_a_2+m_bv_b_2

The kinetic energies before and after the collision are expressed as:

K_a_1+K_{b1}=K_a_2+K_{b2}, \ K=0.5mv^2

0.5m_av_a_1+0.5m_b(0)=0.5m_av_a_2+0.5m_bv_b_2\\\\14.6^2=v_{a2}^2+v_{b2}^2\\\\v_{b2}^2=213.16-v_{a2}^2

Let +x along A's initial direction and +y along A's final direction makes the angle 62\textdegree

\dot v_{a1}=14.6i\\\\\dot v_{a2}=(v_{a2} \ cos \ 28\textdegree)i+(v_a_2\ sin \ 28\textdegree)j\\\\\dot v_{b2}=v_{b2x}i+v_{b2y}j

#Substitute in v_{b2}^2=213.16-v_{a2}^2:

\dot v_{b2}=(14.6i)-\dot v{a2}\\\\\dot v_{b2}.\dot v_{b2}=v_{b2}^2\\\\\#Right \ side\\\\(14.6i-\dot v{a2}).(14.6i-\dot v{a2})=(14.6i)^2+\dot v_{a2}^2.\dot v_{a2}^2-2(14.6i).\dot v_{a2}\\\\=213.16+v_{a2}^2-2(14.6i).(v_{a2}\ cos 28\  \textdegree i+v_{a2} \ sin \ 28\textdegree j)\\\\v_{b2}^2=213.16+v_{a2}^2-29.2\ cos \ 28\textdegree v_{a2}\ \  v_{b2}^2=213.16-v_{a2}^2\\\\213.16-v_{a2}^2=213.16+v_{a2}^2-29.2\ cos \ 28\textdegree v_{a2}\\\\2v_a2}^2=29.2\ cos\ 28 \textdegree v_{a2}\\\\

v_{a2}=12.891\ m/s

Hence, the the speed of puck A after the collision is 12.891  m/s

#. The velocity of A after the collision is;

\dot v_{a2}=12.891 \ cos \ 28 \textdegree i+12.891 \ sin \ 28\textdegree j\\\\=11.382i+6.052j

Substitute \dot v_{a2} into \dot v_{b2}=(14.6i)-\dot v{a2}:

\dot v_{b2}=14.6i-(11.382i+6.052j)\\\\=3.218i-6.052j

This is the velocity of puck B after the collision, it's speed is:

v_{b2}=\sqrt{v_{b2x}^2+v_{b2y}^2}\\\\=\sqrt{3.218^2+(-6.052)^2}\\\\v_{b2}=6.8544 \ m/s

The velocity of puck B after the collision is 6.8544 m/s

c. The direction of puck B after the collision is:

\theta _b=tan^{-1}\frac{v_{b2y}}{v_{b2x}}\\\\=tan^{-1} \frac{-6.052}{3.218}\\\\\approx 62\textdegree

Hence, the direction of B's velocity after the collision is 62°

4 0
4 years ago
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