A powerlifter of mass 80 kg tries to lift a body of mass 100kg with a force of 500N
a) can he lift the body?
b)if not, what minimum force is required to lift it
c) calculate the work done to lift the body through a distance of 10m
d) if he is capable to lift a mass of 250kg to the top of a building 5m high, in 20 s, find his power
Answers
Answer:
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Given:
Mass of the man = 80 kg
Mass of the body = 100 kg
Force applied on the body = 500 N
To Find:
a) can he lift the body?
b)if not, what minimum force is required to lift it
c) calculate the work done to lift the body through a distance of 10m
d) if he is capable to lift a mass of 250kg to the top of a building 5m high, in 20 s, find his power
Solution:
This problem on weights can be solved very easily using this simple approach.
Weight of the body = 100 × g = 100 × 10 = 1000 N
g = acceleration due to gravity = 10 m/s²
a.) Now the weight of the body is greater than the force applied.( 1000 > 500 )
So he can't lift the body.
b.) Minimum force required to lift the weight must be 1000 N.
c.) Keeping the force applied to be 1000 N.
distance travelled = 10 m
Work done to lift the body through a distance of 10 m = Force × displacement = 1000 × 10 = 10,000 J = 10 KJ
Work done to lift the body through a distance of 10 m is 10 KJ.
d.) Mass of the body = m =250 kg
Force applied on the body = F = mg = 250 × 10 = 2500 N
Distance travelled = s = 5 m
Time taken = t = 20 s
⇒ power = ( Force × Distance )/ Time
⇒ power P = ( 2500 × 5 )/20 = 625
Therefore the power required to lift the body of 250 kg mass is 625 Watt.
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