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sleet_krkn [62]
3 years ago
5

You need to move a 132 kg sofa to a different location in the room. It takes a force

Physics
1 answer:
nataly862011 [7]3 years ago
6 0

Let <em>w</em> denote the weight of the sofa, <em>n</em> the magnitude of the normal force, and <em>f</em> the magnitude of the friction force. The sofa is in equilibrium, so by Newton's second law,

<em>n</em> - <em>w</em> = 0

125 N - <em>f</em> = 0

The sofa has a weight of

<em>w</em> = (132 kg) <em>g</em> = 1293.6 N

where <em>g</em> = 9.80 m/s² is the magnitude of the acceleration due to gravity. Since <em>n</em> = <em>w</em>, the normal force has the same magnitude.

The friction force is proportional to the normal force by a factor of the coefficient of static friction <em>µ</em>, such that

<em>f</em> = <em>µ</em> <em>n</em>

Our second equation tells us <em>f</em> = 125 N, so solve for <em>µ</em> :

125 N = <em>µ</em> (1293.6 N)

<em>µ</em> ≈ 0.0966

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An airplane flies in a loop (a circular path in a vertical plane) of radius 160 m . The pilot's head always points toward the ce
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Answer:

a) 39.6 m/s b) 4123 N

Explanation:

a) At the top of the loop, all of the forces point downwards (force of gravity and normal force).

Fnet=ma

ma=m(v^2/R) (centripetal acceleration)

mg=m(v^2/R)

m cancels out (this is why pilot feels weightless) so,

g=(v^2/R)

9.8 m/s^2 = v^2/160 m

v^2=1568 m^2/s^2

v=39.6 m/s

b) At the bottom of the loop, the normal force and the force of gravity point in opposite directions. The normal force is the weight felt.

Convert 300 km/hr to m/s

300 km/hr=83.3 m/s

Convert pilot's weight into mass:

760 N = 77.55 kg

Fnet=ma

n-mg=m(v^2/R)

n=(77.55 kg)(((83.3 m/s)^2)/160 m)+(77.55 kg)(9.8 m/s^2)

n=3363.2 N+760 N=4123 N

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What is the mass of an object that is accelerated at 25 m/s2 by a force of 135 N?
yKpoI14uk [10]

Answer:

<h3>The answer is 5.4 kg</h3>

Explanation:

The mass of the object can be found by using the formula

m =  \frac{f}{a}  \\

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From the question we have

m =  \frac{135}{25}   =  \frac{27}{5} \\

We have the final answer as

<h3>5.4 kg</h3>

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