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goldenfox [79]
4 years ago
6

WILL MARK BRAINLIEST! The driver of a pickup truck going 120 km/h applies the brakes, giving the truck a uniform deceleration of

5.00 m/s^2, while it travels 35.0 m. How much time has elapsed?
Physics
1 answer:
Rudik [331]4 years ago
7 0
First put the speed in m/s.  120km/h = 33.33m/s.  Now the position function is the integral of velocity, and velocity is in turn the integral of acceleration.  The velocity is:
v= \int\limits^{} _ {} {-5} \, dt =-5t+33
Now we integrate this expression to get the position. The constant of integration will be the distance the truck travels.
s= \int\limits^{} {-5t+33} \, dx =- \frac{5}{2}t^2+33.33t-35=0
Here we set the distance, 35m as negative because I assumed the stopping point of the truck is the origin.  Putting t=0 shows it starts at -35m. 
Now solve the following equation for the time, t using the quadratic equation:
s=- \frac{5}{2}t^2+33.33t-35=0
and choose the  value t=1.149s
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3 years ago
A series L-R-C circuit consists of a 226 Ω resistor, a 27.4 mH inductor, a 11.55 µF capacitor, and an AC source of amplitude 15
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In order to find the values for the inductive and capacitive reactances, as they depend on the frequency, we need first to find the voltage source frequency.

We are told that it has been set to 5.6 times the resonance frequency.

At resonance, the inductive and capacitive reactances are equal each other in magnitude, so from this relationship, we can find out the resonance frequency fo as follows:

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2 years ago
Calculate the change in length of a Pyrex glass dish (Coefficient of linear expansion for Pyrex is 3 * 10-6 / oC) that is 0.25 m
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We are given the initial length of the Pyrex glass dish at a particular temperature and need to calculate the change in the length when the temperature changes by 120° C. The coefficient of linear expansion of Pyrex is provided.

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Change in length = 3*10^{-6} * 120 * 0.25 = 9*10^{-5} m

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