Respuesta :
Answer:
[tex]a) \ d_2=d_1\\b) \ d_2=4d_1[/tex]
Explanation:
Assume that the distance travelled initially is d.
In order to stop the block you need some external force which is friction.
If we use the law of energy conservation:
[tex]E_i=E_f\\\frac{mv^2}{2}= E_{Friction}\\E_{Friction}=F_{Friction}*d\\F_{Friction}= \mu_kmg\\\frac{mv^2}{2}= \mu_kmgd\\ d=\frac{v^2}{2\mu_kg}[/tex]
a)
Looking at the formula you can see that the mass doesn't affect the distance travelled, as lng as the initial velocity is constant (Which indicates that the force must be higher to push the block to the same speed) therefore the distance is the same.
b) If the velocity is doubled, then the distance travelled is multiplied by 4, because the distance deppends on the square of the velocity.
(a) There is no change in the distance of the block. When the mass is doubled it does not affect the displacement of the block.
(b)The block slide four times the first condition because initial velocity affects the displacement of the block.
What is the displacement of the block?
The distance through which the block is displaced when an external force is act on it.it is a vector quantity .its unit is m.
According to the law of conservation of energy
The kinetic energy of the block is equal to the frictional work of the block. Because the kinetic energy of the block is utilized in overcoming the friction.
kinetic energy of block = frictional work
[tex]\rm{\frac{1}{2} m v^{2} = F_{friction}\times d}[/tex]
[tex]\rm{\frac{1}{2} m v^{2} = u_kmg\times d}[/tex]
[tex]d = \frac{u^{2} }{2u_kg}[/tex]
From the above relation, the displacement of the block is independent of mass and directly propotional to the square of velocity.
(a)Hence there is no change in the distance of the block. When the mass is doubled it does not affect the displacement of the block.
(b)Hence the block slides four times the first condition because initial velocity affects the displacement of the block. because displacement is directly propotional to the square of velocity.
To learn more about the displacement of the block refer to the link;
https://brainly.com/question/14696085
