show that acceleration at any instant does not depends upon the velocity at that instant
Answers
Given :
Heat gained = 4.5 × 10⁵ J
Heat released = 2 × 10⁵ J
To Find :
Percentage efficiency of steam engine and work done per cycle..
Solution :
❒ Efficiency of a heat engine/steam engine is given by, η = 1 - (Q₂ / Q₁)
Where,
η denotes efficiency
Q₂ denotes heat released to the sink
Q₁ denotes heat extracted from the source
By substituting the given values;
➛ η = 1 - (Q₂ / Q₁)
➛ η = 1 - (2 × 10⁵ / 4.5 × 10⁵)
➛ η = 1 - 0.44
➛ η = 0.56
Percentage efficiency = 56%
❒ Work done per cycle :
We know that work done is measured as the change in energy.
➠ W = Q₁ - Q₂
➠ W = (4.5 × 10⁵) - (2 × 10⁵)
➠ W = 2.5 × 10⁵ J
Answer:
Consider this:
If an object is moving at 1 m/s and accelerates to 2 m/s over the course of one second, its acceleration is 1 m/s².
Similarly if an object is moving at 1000 m/s, and accelerates to 1001 m/s over the course of one second, its acceleration is also 1 m/s².
The acceleration does not depend upon velocity. Simply put, it depends on two things: the amount of change in the velocity, and how long it takes to change. In both cases above, the change in velocity, or Δv , (pronounced “delta vee”) is one meter per second, and in both cases it took one second to do so. And 1 m/s over 1 s is 1 m/s².
Less simply put, the acceleration is the first derivative of the velocity, which requires differential calculus to calculate, but it has the advantage of being able to give you a value for instantaneous acceleration without threatening your calculations with the ignominy of a division by zero. But acceleration remains independent of velocity for essentially the same reason.