The speed of the object v is 16 m/s.
The mass of the object moving on the horizontal surface is m.
The speed of the object is v m/s.
The coefficient of friction, μ = 0.40
The acceleration due to gravity, g = 10 m/s²
So, the initial velocity is v m/s and the final velocity is 0 m/s.
The total distance traveled by the object is 32 meters.
The formula for force is:
F = ma
Now,
ma = - μmg
a = - μg
a = - 0.40 × 10 = - 4 m/s²
The distance, s = 32 meters
Using the equation of motion,
v² = u² + 2as
0 = v² + 2( - 4 )( 32 )
0 = u² - 256
u² = 256
u = √256 = 16 m/s
Hence, the value of the speed v is 16 m/s.
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