A block of mass 3.3 kg, sliding on a horizontal
plane, is released with a velocity of 1.8 m/s.
The blocks slides and stops at a distance of
1.5 m beyond the point where it was released.
How far would the block have slid if its
initial velocity were quadrupled?

Respuesta :

Answer:

24 m

Explanation:

initial velocity is u = 3.5 m/sec

final velocity is v = 0 m/sec

distance traveled is S = 1.5 m

From kinematic equation [tex]v^{2}-u^{2} = 2as[/tex]

Making acceleration the subject,

[tex]a=\frac {v^{2}-u^{2}}{2s}[/tex]

Acceleration [tex]a = \frac {0^2-3.5^2}{(2*1.5)}= -4.083333333m/s^{2}[/tex]

When the initial velocity is quadrupled= u = 3.5*4 = 14 m/s

V = 0 m/s

[tex]a = -4.083333333m/s^{2}[/tex]

then [tex]S = \frac {v^{2}-u^{2}}{2} = \frac {0^{2}-14^{2}}{2\times -4.083333333} = 24 m[/tex]