Respuesta :
Answer:
The mass of the cable is 4.94 kg
Explanation:
It is given that,
Mass of the block, m = 20 kg
Force applied to the cable, F = 110 N
Speed of the block, v = 4.2 m/s
Distance, d = 2 m
Let a is the acceleration of the block. It can be calculated using the third equation of motion as :
[tex]v^2-u^2=2ad[/tex]
[tex](4.2)^2-(0)^2=2a\times 2[/tex]
[tex]a=4.41\ m/s^2[/tex]
Let m' is the mass of the cable. It can be calculated using the second law of motion as :
[tex]m'=\dfrac{F}{a}-m[/tex]
[tex]m=\dfrac{110\ N}{4.41\ m/s^2}-20[/tex]
m = 4.94 kg
So, the mass of the cable is 4.94 kg. Hence, this is the required solution.
Mass of steel cable is difference of total mass and mass of block. The mass of the steel cable is 4.94 kg.
What is second law of motion?
Second law of motion says that the force applied on a object is the product of mass of it to the acceleration due to action of force.
Given information-
The mass of the block is 20 kg.
The value of force applied on the cable is 110 N.
The speed of the block is 4.2 meter per seconds.
The distance it traveled is 2.0 meters.
Suppose the acceleration of the block is [tex]a[/tex] meter per second squared.
As the initial 0 and final velocity of the block is 4.2 meter per second. Thus, using the third equation of motion,
[tex]4.2^2-0^2=2\times a\times2\\a=4.41\rm m/s^2[/tex]
Now the mass of the cable equal to the difference of total mass and mass of block.
The mass of the block is the ratio of force applied on the block to the acceleration of it. Thus mass of the cable is,
[tex]m_c=\dfrac{110}{4.41} -20\\m_c=4.94[/tex]
Hence the mass of the cable is 4.94 kg.
Learn more about the second law of motion here;
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