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atroni [7]
3 years ago
10

A car sets off from the traffic lights. It reaches a speed of 27 m/s in 18 seconds. What is its acceleration?

Physics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

1.6875m/s²

Explanation:

acceleration =  \frac{final \: velocity \:  -  \: initial \: velocity}{time \: taken}

<em> </em><em>a </em><em>=</em><em> </em><em>unknown.</em>

<em>v </em><em>(</em><em>final </em><em>velocity)</em><em> </em><em>=</em><em> </em><em>2</em><em>7</em><em>m</em><em>/</em><em>s</em>

<em>u </em><em>(</em><em>initial </em><em>velocity</em><em>)</em><em> </em><em>=</em><em> </em><em>0</em><em>m</em><em>/</em><em>s </em><em>(</em><em>as </em><em>the </em><em>car</em><em> </em><em>was </em><em>stationary </em><em>in </em><em>the </em><em>traffic </em><em>lights)</em><em>.</em>

<em>t </em><em>(</em><em>time </em><em>taken)</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em>s</em>

<em>a =  \frac{27 - 0}{16}</em>

<em>acceleration</em><em> </em><em>=</em><em> </em><em>1.6875</em><em>m</em><em>/</em><em>s²</em>

hope it helps. :)

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Answer and Explanation:

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A 2kg block of which material would require 450 joules of thermal energy to increase its temperature by 1 degree Celsius?
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The block is made of A) Tin, as its specific heat capacity is 0.225 J/(g^{\circ}C)

Explanation:

When an amount of energy Q is supplied to a sample of material of mass m, the temperature of the material increases by \Delta T, according to the following equation :

Q=mC_s \Delta T

where  C_s is the specific heat capacity of the material.

In this problem, we have:

m = 2 kg = 2000 g is the mass of the unknown material

Q = 450 J is the amount of energy supplied to the block

\Delta T = 1^{\circ}C is the change in temperature of the material

Solving the equation for C_s, we can find the specific heat capacity of the unknown sample:

C_s = \frac{Q}{m \Delta T}=\frac{450}{(2000)(1)}=0.225 J/(g^{\circ}C)

And by comparing with tabular values, we can find that this value is approximately the specific heat capacity of tin.

Learn more about specific heat capacity:

brainly.com/question/3032746

brainly.com/question/4759369

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7 0
3 years ago
A disk 7.90 cm in radius rotates at a constant rate of 1 190 rev/min about its central axis. (a) Determine its angular speed. 12
Tanya [424]

Answer:

124.62\ \text{rad/s}

3.71\ \text{m/s}

1.23\ \text{km/s}^2

20.28\ \text{m}

Explanation:

r = Radius of disk = 7.9 cm

N = Number of revolution per minute = 1190 rev/minute

Angular speed is given by

\omega=N\dfrac{2\pi}{60}\\\Rightarrow \omega=1190\times \dfrac{2\pi}{60}\\\Rightarrow \omega=124.62\ \text{rad/s}

The angular speed is 124.62\ \text{rad/s}

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Tangential speed is given by

v=r\omega\\\Rightarrow v=2.98\times 10^{-2}\times 124.62\\\Rightarrow v=3.71\ \text{m/s}

Tangential speed at the required point is 3.71\ \text{m/s}

Radial acceleration is given by

a=\omega^2r\\\Rightarrow a=124.62^2\times 7.9\times 10^{-2}\\\Rightarrow a=1226.88\approx 1.23\ \text{km/s}^2

The radial acceleration is 1.23\ \text{km/s}^2.

t = Time = 2.06 s

Distance traveled is given by

d=vt\\\Rightarrow d=\omega rt\\\Rightarrow d=124.62\times 7.9\times 10^{-2}\times 2.06\\\Rightarrow d=20.28\ \text{m}

The total distance a point on the rim moves in the required time is 20.28\ \text{m}.

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