A dock worker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in the first 5.00 s. What is the mass of the block of ice

Respuesta :

Answer:

The mass of the block of ice is 90.91 kg.

Explanation:

The expression for the equation of motion is as follows;

[tex]s=ut+\frac{1}{2}at^2[/tex]

Here, u is the initial speed, a is the acceleration, t is the time and s is the distance.

Calculate the acceleration of the given block.

[tex]s=ut+\frac{1}{2}at^2[/tex]

Put t= 5 s, s= 11 m and u= 0 in the above expression.

[tex]11=(0)t+\frac{1}{2}a(5)^2[/tex]

[tex]a= 0.88 ms^{-2}[/tex]

The expression for the force in terms of mass and acceleration is as follows;

F= ma

Here, F is the force and m is the mass.

Put F= 80 N and [tex]a= 0.88 ms^{-2}[/tex].

80= m(0.88)

m=90.91 kg

Therefore, the mass of the block of ice is 90.91 kg.