Answer:

Explanation:
As per first law of thermodynamics we know that
heat absorbed = change in internal energy + Work done
so we have


so work done is given as


now we know that at constant pressure the work done is given as




or we have

Given: The mass of stone (m) = 0.5 kg
Raised from heights (h₁) = 1.0 m to (h₂) = 2.0 m
Acceleration due to gravity (g) = 9.8 m/s²
To find: The change in potential energy of the stone
Formula: The potential energy (P) = mgh
where, all alphabets are in their usual meanings.
Now, we shall calculate the change in potential energy of the stone
Δ P = P₂ - P₁ = mg (h₂ - h₁)
or, = 0.5 kg ×9.8 m/s² ×(2.0 m - 1.0 m)
or, = 4.9 J
Hence, the required change in the potential energy of the stone will be 4.9 J
Answer:
B.6.86 m
Explanation:
Given that
Compression in spring ,x= 9 cm
Spring constant ,K= 830 N/m
Mass of the rocket ,m= 50 g = 0.05 kg ( 1 kg = 1000 g)
Now by applying energy conservation


Now by putting the values ( we are taking g= 9.81 m/s²)

h= 6.853 m
Therefore the answer is B.
B.6.86 m
The displacement of an object is obtained by taking out the area of the rectangle plus the area of the triangle under the line.
<h3>What is acceleration?</h3>
Acceleration is defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The object moves with constant acceleration.
In velocity time graph, the slope determines the acceleration and the area under the curve gives the value for the displacement.
Thus, the displacement of an object is obtained by taking out the area of the rectangle plus the area of the triangle under the line.
Learn more about acceleration.
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