The spring constant of the spring if it would compress by 1 m to stop the ore car is 340,350.4 N/m.
<h3>
Potential energy of the car</h3>
The potential energy of the car is calculated as follows;
P.E = mgh
where;
- h is the vertical height of the incline
sin (10) = h/L
h = L x sin(10)
P.E = mgLsin(10)
P.E = 2000 x 9.8 x 50 x sin(10)
P.E = 170,175.21
<h3>Conservation of energy</h3>
The potential energy of the car at the top of the incline will be converted to the elastic potential energy spring at the bottom of the incline.
P.E = U = ¹/₂kx²
k = (2U)/x²
k = (2 x 170,175.2)/(1)²
k = 340,350.4 N/m
Learn more about spring constant here: brainly.com/question/1968517
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Answer:
The change in internal energy is zero.
(a) is correct option
Explanation:
Given that,
Work done W = -400 J
The First law of thermodynamics is law conservation of energy
Law of conservation energy is defined the total amount of energy is constant in isolated system.
The energy can not be created and destroyed but the energy can be changed from one form to other form.
The First law of thermodynamics is given by
Where,
W = work done by the system or on the system
= Total internal energy
Q = heat
In isothermal process, the temperature is constant
The energy can not be change and the internal energy is the function of temperature.
So, The internal energy will be zero .
Hence, The change in internal energy is zero.
Answer:
X=32152
Explanation:
Given that
Mean ,μ=40,839 miles
Standard deviation,σ = 4,056 miles
We know that
Given that
When P= 0.02 then Z=-2.053 (From standard chart)
X=32512.032 ≅32512
X=32152
so the guaranteed mileage is X=32152
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