The first one, directly proportional to the length that the spring is stretched.
The value of the acceleration is 0.76 m/s² and the total time taken by the vehicle is 39 seconds.
<h3>Acceleration of the vehicle</h3>
The acceleration of the vehicle before coming to rest is calculated as follows;
v² = u² + 2as
where;
- v is the final velocity
- u is the initial velocity
- a is the acceleration
- s is the distance traveled before stopping
the car came to rest with constant velocity attained after 12 seconds.
the initial velocity of the car before 12 seconds is zero.
v² = 0 + 2as
a = v²/2s
a = (10²)/(2 x 66)
a = 0.76 m/s²
<h3>Time of motion of the vehicle</h3>
d = ut + ¹/₂at²
where;
- d is the total distance traveled
- t is the time of motion
- a is acceleration
- u is initial velocity of the vehicle
580 = 0 + ¹/₂(0.76)t²
580 = 0.38t²
t² = 580/0.38
t² = 1,526.3
t = √1,526.3
t = 39 seconds
Thus, the value of the acceleration is 0.76 m/s² and the total time taken by the vehicle is 39 seconds.
Learn more about time of motion here: brainly.com/question/2364404
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Answer:
0.37 kg
Explanation:
I'm not a professor myself, but this is how I worked it out:
using the graph, after 100 seconds, the temperature is 100 degrees Celsius.
If we now substitute everything into the specific heat capacity equation, making the mass "m", we would come up with:
4200 = 155000/(m x 100)
If we rearrange and solve for m, we get 0.37 kg.
I'm not sure if I have done this correctly, feel free to correct me.
Hope this helps!
The Greek philosopher Aristotle and the Roman Catholic Church also believed the sun revolved around the earth. In 1543, Nicolaus Copernicus<span> published a new theory stating the earth revolves around the sun. This is known as the Copernican theory.</span>