Q1. An elephant weighing 40,000 N stands on one foot of area 1000 cm² whereas a girl weighing 400 N is standing on one 'stiletto' heel of area 1 cm? find the ratio
Answers
Answer:
Weight of elephant=40000N
Area of one foot = 1000 cm2=1000×10−4m2
Weight of girl=400N
Area of heel of girl = 1 cm2=1×10−4m2
(a) Elephant has a larger weight of 40000N, therefore, elephant exerts a larger force on the ground. Elephant exerts a larger force on the ground by 40000N - 400 N = 39600 N.
(b) Weight of elephant = 40000N
Area of one foot = 1000 cm2=1000×10−4m2
Pressure=AreaForce
Pressure=1000×10−440000=400000N/m2
(c) Weight of the girl = 400N
Area of heel of girl =1 cm2=1×10−4m2
Pressure=AreaForce
Pressure=1×10−4400=4000000N/m2
(d) Girl exerts a larger pressure on the ground.
(e) Ratio = Pressure exerted by the elephantPressure exerted by the girl=4000004000000
Explanation:
I hope this answer helpful for you
Elephant has a larger weight of 40000N, therefore, elephant exerts a larger force on the ground. Elephant exerts a larger force on the ground by 40000N - 400 N = 39600 N.
(b) Weight of elephant = 40000N
Area of one foot = 1000 cm
2
=1000×10
−4
m
2
Pressure=
Area
Force
Pressure=
1000×10
−4
40000
=400000N/m
2
(c) Weight of the girl = 400N
Area of heel of girl =1 cm
2
=1×10
−4
m
2
Pressure=
Area
Force
Pressure=
1×10
−4
400
=4000000N/m
2
(d) Girl exerts a larger pressure on the ground.
(e) Ratio =
Pressure exerted by the elephant
Pressure exerted by the girl
=
400000
4000000
=
1
10
The pressure exerted by girl is 10 times greater than that exerted by the elephant.