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A 200 kg load is raised using a 110 m long lever as shown in the diagram above. The ...
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A 200 kg load is raised using a 110 m long lever as shown in the diagram above. The load is 10m from the pivot P. If the efficiency of the the lever is 80%, find the effort E required to lift the load.
[Take g = 10ms-2]
A.
250
B.
300
C.
450
D.
200
Show Answer
Show Explanation
Correct Answer: A
Explanation
ε=
80%, L=200× 10 = 2000N,
d
L
=10m
d
E
= 110-10 = 100m, E=?
ε =
w
o
r
k
d
o
n
e
o
n
t
h
e
l
o
a
d
w
o
r
k
d
o
n
e
b
y
t
h
e
e
f
f
o
r
t
× 100%
⇒ work done on load = 2000 ×10 =20,000 j
⇒ work done by effort = E × 100 = 100E
⇒ 80 =
20
,
000
100
E
× 100%
⇒ 80 =
20
,
000
E
⇒ E =
20
,
000
80
⇒ E = 250N
There is an explanation video available below.
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