Respuesta :
Answer:
Explanation:
Force F = 20 t² N so force is variable.
friction on the crate = mgμ , μ is coefficient of kinetic friction , m is mass
Net force
= F - mgμ
= 20 t² - mgμ = m dv / dt ( Newton's 2 nd law )
m dv = (20 t² - mgμ ) dt
Integrating on both sides,
m v = 20 (t³ / 3) - mgμ t
Putting the values ,
25 x v = 20 x 4³/3 - 25 x 9.8 x .25 x 4
25 v = 426.67 - 245
25 v = 181.67
v = 7.27
v = 7.27 m /s
The study of matter is called physic.
The correct answer is 7.27.
Force F = 20 t² N so the force is variable.
The friction on the crate is mgμ
- μ is coefficient of kinetic friction,
- m is mass
- g is the gravitational force
The solution to the question is:-
= F - mgμ
= 20 t² - mgμ
= [tex]m\frac{dv}{dt}[/tex]
m dv = (20 t² - mgμ ) dt
m v = 20 (t³ / 3) - mgμ t
After Putting the values, we will get:-
[tex]25 * v = 20 * \frac{4^3}{3} - 25 * 9.8 * .25 * 4[/tex]
[tex]25 v = 426.67 - 24525 v = 181.67v = 7.27[/tex]
Hence, the correct answer is v = 7.27 m /s.
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