Answer:
The force of static friction acting on the luggage is, Fₓ = 180.32 N
Explanation:
Given data,
The mass of the luggage, m = 23 kg
You pulled the luggage with a force of, F = 77 N
The coefficient of static friction of luggage and floor, μₓ = 0.8
The formula for static frictional force is,
Fₓ = μₓ · η
Where,
η - normal force acting on the luggage 'mg'
Substituting the values in the above equation,
Fₓ = 0.8 x 23 x 9.8
= 180.32 N
Hence, the minimum force require to pull the luggage is, Fₓ = 180.32 N
Answer:
Explanation:
Given
Weight of Person ![W=5.20\times 10^{2} N](https://tex.z-dn.net/?f=W%3D5.20%5Ctimes%2010%5E%7B2%7D%20N)
Cave is
deep
Breaking stress ![T=569 N](https://tex.z-dn.net/?f=T%3D569%20N)
Net Force on Person
![F_{net}=569-520=49 N](https://tex.z-dn.net/?f=F_%7Bnet%7D%3D569-520%3D49%20N)
![a_{net}=\frac{F_{net}}{\frac{W}{g}}](https://tex.z-dn.net/?f=a_%7Bnet%7D%3D%5Cfrac%7BF_%7Bnet%7D%7D%7B%5Cfrac%7BW%7D%7Bg%7D%7D)
![a_{net}=\frac{49}{\frac{520}{9.8}}](https://tex.z-dn.net/?f=a_%7Bnet%7D%3D%5Cfrac%7B49%7D%7B%5Cfrac%7B520%7D%7B9.8%7D%7D)
![a_{net}=0.923 m/s^2](https://tex.z-dn.net/?f=a_%7Bnet%7D%3D0.923%20m%2Fs%5E2)
The shortest time such that the person can be taken out of cave
![h=ut+\frac{1}{2}at^2](https://tex.z-dn.net/?f=h%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2)
where
h=distance moved
t=time
a=acceleration
![35.1=0+\frac{1}{2}(0.923)(t)^2](https://tex.z-dn.net/?f=35.1%3D0%2B%5Cfrac%7B1%7D%7B2%7D%280.923%29%28t%29%5E2)
![t^2=76.05](https://tex.z-dn.net/?f=t%5E2%3D76.05)
![t=\sqrt{76.05}](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B76.05%7D)
5m
Explanation:
Given parameters:
Weight of object = 50N
Work done in lifting object = 250J
Unknown:
Vertical height = ?
Solution:
The work done on an object is the force applied to lift a body in a specific direction.
Work done = force x distance
Weight is a force in the presence of gravity;
Work done = weight x height of lifting
Height of lifting = ![\frac{work done }{weight}](https://tex.z-dn.net/?f=%5Cfrac%7Bwork%20done%20%7D%7Bweight%7D)
Height of lifting =
= 5m
The vertical height through which the object was lifted is 5m
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