Answer:
m = 20[kg]
Explanation:
This problem can be solved, using kinematic equations and then applying Newton's second law. First we must find the acceleration and then replace it in the equation of Newton's second law.
Initial data:
Vo = initial velocity = 0 [m/s]
t = 3[s]
[tex]y=v_{o}*t+0.5*a*t^2\\0.01=0.5*a*(3)^2\\a=0.0022[m/s^2][/tex]
T- F = -m*a
T - m*g = m*a
We can assume a value for tension T equal to 196 [N].
[tex]m=\frac{T}{g-a}\\ m=\frac{196}{9.81-0.00222}\\m=20[kg][/tex]
Note: For this problem it is important to assume a tension value, otherwise, it is impossible to determine the value of mass m, in Newton's second law equation.
The mass will be "20 kg".
A body of coherent matter, typically of undefined form and structure, or maybe even a grouping of incoherent components, components, or things viewed as comprising one body.
Suddenness of movements or operation; promptness; quickness as well as mechanical the measured or counted at which a body's position changes in a specific direction.
According to the question,
Initial velocity, [tex]V_o = 0[/tex] m/s
Time, [tex]t = 3[/tex] s
We know,
→ [tex]y = v_o\times t+0.5\times a\times t^2[/tex]
By substituting the values,
[tex]0.01=0.5\times q\times (3)^2[/tex]
[tex]a = 0.0022[/tex] m/s²
hence,
→ [tex]T-mg= ma[/tex]
or,
→ [tex]m = \frac{T}{g-a}[/tex]
[tex]= \frac{196}{9.81-0.00222}[/tex]
[tex]= 20[/tex] kg
Thus the above answer is right.
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