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Answers
Explanation:
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Explanation:
Consider an object of mass m is thrown upwards to a height h above the ground level.
Taking different point one by one.
At point A,
The body is at rest and v = 0
So, PE=mgh and KE=0
So, total energy,
TE=PE+KE
TE=mgh..............(a)
At point B,
PE=mg(h−x)=mgh−mgx...........(1)
KE=
2
1
mv
2
Using equation of motion as
v
2
−u
2
=2as
∵u=0
v
2
=2gx
so,KE=
2
1
m(2gx)=mgx
Total energy,
TE=mgh−mgx+mgx
TE=mgh.........(b)
At point C:
The body hits the ground so, u = 0 and h = 0. So, it possess only kinetic energy
KE=
2
1
mv
2
v
2
=u
2
+2as
v
2
=2gh
so,
KE=
2
1
m(2gh)
KE=mgh
so,
TE=mgh.........(c)
From equation (a), (b) and (c) the total energy at point A, B and C is same i.e. mgh.
TE∝h
So, the above is the correct graph for TE vs h.