Explanation:
Work done by winch = kinetic energy of car
∫ T ds = ½ mv²
∫ 225s ds = ½ mv²
225/2 s² = ½ mv²
225 s² = mv²
v = 15s / √m
Given s = 10 m and m = 2500 kg:
v = 15 (10) / √2500
v = 3 m/s
If the velocity of the train is v=s/t, where s is the distance and t is time, then v=400/5=80m/s. To get the vertical component of the velocity we need to multiply the velocity v with a sin(α): Vv=v*sin(α), where Vv is the vertical component of the velocity and α is the angle with the horizontal. So:
Vv=80*sin(10)=80*0.1736=13.888 m/s.
So the vertical component of the velocity of the train is Vv=13.888 m/s.
Answer:
the thermistor temperature = 
Explanation:
Given that:
A thermistor is placed in a 100 °C environment and its resistance measured as 20,000 Ω.
i.e Temperature
Resistance of the thermistor
20,000 ohms
Material constant
= 3650
Resistance of the thermistor
= 500 ohms
Using the equation :


Taking log of both sides





Replacing our values into the above equation :






Thus, the thermistor temperature = 
The heat energy required is 2983 J
Explanation:
When an amount of energy Q is supplied to a certain sample of substance of mass m, the temperature of the substance increases by an amount of
according to the equation
:
where
Q is the heat supplied
m is the mass of the object
is the specific heat capacity of the substance
is the change in temperature
For the glass bottle in this problem:

is the change in temperature
is the specific heat of glass
Substituting into the equation, we find

Learn more about specific heat capacity:
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brainly.com/question/4759369
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