A car slows down from speed of 72
1 answer:
Explanation:
Given parameters:
Initial velocity = 72km/hr
Final velocity = 0km/hr
Time taken = 25s
Unknown:
Acceleration = ?
Solution:
To solve this problem, convert km/hr to m/s;
1000m = 1km
3600s = 1hr
72km/hr;
1km/hr = 0.278m/s
72km/hr = 0.278 x 72 = 20.02m/s
Acceleration is the change in velocity divided by the time taken;
Acceleration =
Acceleration = = -0.8m/s
The car is actually decelerating at a rate of 0.8m/s
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A) The temperature increases by a factor 6
We can use the ideal gas equation:
where
p is the pressure
V is the volume
n is the number of moles
R is the gas constant
T is the temperature
We can also rewrite it as
The gas is in a sealed container - this means the amount of gas is fixed, so n is constant. Since R is constant too, the term on the right in the equation is constant. So we can rewrite the equation as:
where in this problem we have:
(the volume is doubled)
(the pressure is tripled)
re-arranging the equation, we find the change in temperature:
so, the temperature increases by a factor 6.
B) The temperature increases by a factor 1.5.
We can use again the same equation:
Where in this case:
(the volume is halved)
(the pressure is tripled)
So, we can find the change in temperature:
So, the temperature increases by 1.5 times.
Answer:
Vx = 6 m / s and .vy = 7 m / s
Explanation:
a) Let's substitute the value of time in the equations
x (1) = a +6
y (1) = b + 7
b) and e) We calculate the position for t = 2 s
x (2) = a +12
y (2) = b +14
We calculate the average speed
v = (x (2) -x (1)) / t2- t1
vₓ = ((a + 12) - (a-6)) / (2-1)
vₓ = 6 m / s
= ((b + 14) - (b-7)) / 1
= 7 m / s
c) and f) The instantaneous bone change calculates with the derivative
vₓ = dx / dt
vₓ = 6 m / s
That is constant for all time
= dy / dt
= 7 m / s
d) The speed on the x-axis is constant and is worth vx = 6 m / s