A box is 5 cm high, 4 cm wide, and 9 cm long. What is the
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Answer:
Explanation:
The weight of some mass is defined as the product of mass by gravitational acceleration. In this way using the following formula we can find the weight.
where:
w = weight [N]
m = mass = 0.06 [kg]
g = gravity acceleration = 10 [N/kg]
Therefore:
By Hooke's law we know that the force in a spring can be calculated by means of the following expression.
where:
k = spring constant [N/m]
x = deformed distance = 6 [cm] = 0.06 [m]
We can find the spring constant.
Since we use the same spring on the moon and the same mass, the constant of the spring does not change, the same goes for the mass.
Since this force is equal to the weight, we can now determine the gravitational acceleration.
The energy transferred to the spring is given by:
where
k is the spring constant
x is the elongation of the spring with respect its initial length
Let's convert the data into the SI units:
so now we can use these data inside the equation ,to find the energy transferred to the spring:
where
k is the spring constant
x is the elongation of the spring with respect its initial length
Let's convert the data into the SI units:
so now we can use these data inside the equation ,to find the energy transferred to the spring:
Answer: The thermal efficiency of the engine is 41.09 %.
Explanation:
Efficiency is the ratio of the useful work performed to the total energy expended or heat taken in.
Formula for thermal efficiency of engine is
= efficiency
= heat rejected = 266.7 kJ
= heat extracted = 452.8 kJ
Putting in the values we get:
The thermal efficiency of the engine is 41.09 %.