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dimaraw [331]
3 years ago
10

An automobile accelerates from rest at 2.0 m/s2 for 20 s. The speed is then held constant for 20 s, after which there is an ac-

celeration of -3.0 m/s? until the automobile stops. What is the total distance traveled?
Physics
1 answer:
MaRussiya [10]3 years ago
5 0

Answer:

1446.7m

Explanation:

You need to look at this in 3 separate stages, and then sum thedistance from each stage:

Stage 1)

a=2

t=20

V_0=0

s=V_0t+\frac{1}{2}g t^2

x=400m

We also need to find the final velocity v=a*t=20*2=40m/s

Stage 2)

a=0

v=40

t=20

x=vt

x=800m

Stage 3)

a=-3

v_0\\=40

v=0

v^=v_0^2 + 2 a x\\0=40^2+2*(-3)x\\x=266.7m

So the total distance is x=400+800+266.7=1466.7m

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A 300 g glass thermometer initially at 23 ◦C is put into 236 cm3 of hot water at 87 ◦C. Find the final temperature of the thermo
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Answer:

74^{\circ} C

Explanation:

We are given that

Mass of glass,m=300 g

T_1=23^{\circ}

Volume,V=236cm^3

Mass of water=density\times volume=1\times 236=236 g

Density of water=1g/cm^3

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Specific heat of glass,C_g=0.2cal/g^{\circ}C

Specific heat of water,C_w=1 cal/g^{\circ}C

Q_{glass}=m_gC_g(T_f-T_1)=300\times 0.2(T_f-23)

Q_{water}=m_wC_w(T_f-T)=236\times 1(T_f-87)

Q_{glass}+Q_{water}=0

300\times 0.2(T_f-23)+236\times 1(T_f-87)

60T_f-1380+236T_f-20532=0

296T_f=20532+1380=21912

T_f=\frac{21912}{296}=74^{\circ} C

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