If you hold a horizontal metal bar several centimeters above the ground and move it through grass, each leaf of grass bends out
1 answer:
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Answer:
e=58%
Explanation:
Given data
The Otto-cycle engine in a Mercedes-Benz SLK230 has a compression ratio of 8.8.
Solution
We want to calculate the ideal efficiency of the engine when ratio of heat capacity for gas used γ=1.40. Ideal efficiency (e) of the Otto cycle given by:
Substitute the given values to find efficiency e
e=58%
The attached free-body diagram shows the forces that are responsible for the skier coming to rest eventually on the incline.
We see that the component of his Weight along the incline and the Friction both act in tandem to stop him.
In order to calculate the Friction, we can make use of Newton's 2nd law, which states that
The here is given by
, where
is the Kinetic Friction.
We also know that the magnitude of Friction Force can be calculated using the equation μ.
, where
is the Normal Force acting perpendicular to the incline as shown in the figure.
We see that since they both balance each other out.
Hence, putting all these together, we have μ.
Simplifying this, we get μ
We clearly see that we need to calculate the acceleration before we can obtain the value of the Coefficient of Friction μ
And for that, we make use of the following data obtained from the question:
Initial Velocity
Final Velocity
Displacement along the incline
Acceleration a = ?
Using the equation , and
Plugging in known numerical values, we get
Solving for a gives us,
Since the negative sign indicates that this is deceleration, we can ignore the sign and consider the magnitude alone.
Thus, plugging in in the force equation we wrote above, we have
μ.
Solving this for μ, we get its value as μ = 0.124
Thus, the average coefficient of friction on the incline is 0.12
