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
The relation between acceleration and mass is inversely proportional, according to Newton's second law, and there is a direct relationship between acceleration and net external force.
<h3>What are the relation in forces and acceleration?</h3>
One of the most significant laws in all physics is Newton's second law. F = ma, where F (force) and a (acceleration) are both vector values, can be used to represent a body whose mass m is constant. A body is accelerated according to the equation if there is a net force acting on it.
Therefore, An object will remain at rest or move in a straight path at constant speed in the absence of acceleration. A force that is not balanced causes an object to accelerate.
Learn more about acceleration here:
brainly.com/question/1046166
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Answer:

Explanation:
Given data
Ball one
mass m₁=3.0kg
velocity v₁=20 m/s
Ball second
mass m₂=2.0 kg
velocity v₂=12 m/s
First we need the speed of combined ball.Since the system conserves the linear momentum

So the combined velocity vt is:

Since the two balls 1 and 2 are moving in opposite direction
So

Substitute the given values

We have the equation for motion with constant acceleration is given by:

At initial position y₀=0 and vt=v-v₀
So
