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]