an eskimo pushes a loaded sled with a mass of 300kg over the frictionless surface of hard-packed snow.he exerts a constant 170n force as he dose so.what is the sled's acceleration?

Respuesta :

Answer:

0.567 m/s²

Explanation:

Newton's second law:

∑F = ma

170 N = (300 kg) a

a = 0.567 m/s²

Round as needed.

Answer:

The sled's acceleration is [tex]\vec{a}=0,57\frac{m}{s^{2}}\hat{x}[/tex] .

Explanation:

Newton's second law of motion states that in an inertial frame of reference the net force [tex]\vec{F}[/tex] acting on an object is equal to the mass m of the object multiplied by its acceleration [tex]\vec{a}[/tex]:

                                                   [tex]\vec{F}=m\vec{a}[/tex]

[tex]\vec{F}[/tex] and [tex]\vec{a}[/tex] are vectors and the mass m is a scalar that we assume to be constant. We also assume that the net force [tex]\vec{F}[/tex] and the acceleration [tex]\vec{a}[/tex] are in the horizontal direction x.

We are told that |F| = 170 N and that m = 300 kg. So we get that:

                                               [tex]170N=300kg\ a[/tex]

                                               [tex]170\frac{kg\ m}{s^{2}}=300kg\ a[/tex]

                                               [tex]a=\frac{170}{300} \frac{kg\ m}{s^{2}} \frac{1}{kg}[/tex]

                                               [tex]a=0,57\frac{m}{s^{2}}[/tex]

Then the sled's acceleration is

                                               [tex]\vec{a}=0,57\frac{m}{s^{2}}\hat{x}[/tex]