Potential energy is defined by formula
here
m = mass
g = acceleration due to gravity
h = height
Now here two different stones are located at same height
while mass of stone A is twice that of stone B
so here we can say potential energy of A is
Similarly potential energy of B is
now if we take the ratio of two energy
so we can say potential energy of stone A is two times the potential energy of B
The momentum of the object is 8050 kg m/s
Explanation:
The momentum of an object is defined as
where
p is the momentum
m is the mass
v is the velocity of the object
For the object in this problem, we have
m = 500 kg is its mass
v = 58 km/h is its velocity
Converting the velocity into m/s,
Therefore now we can find the momentum of the object:
Learn more about momentum:
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Answer:
Explanation:
The heaviside function is defined as:
so we see that the Heaviside function "switches on" when, and remains switched on when
If we want our heaviside function to switch on when , we need the argument to the heaviside function to be 0 when
Thus we define a function f:
The term inside the heaviside function makes sure to displace the function 5 units to the right.
Now we just need to add a scale up factor of 240 V, because thats the voltage applied after the heaviside function switches on. ( when
, so it becomes just a 1, which we can safely ignore.)
Therefore our final result is:
I have made a sketch for you, and added it as attachment.
