Two horizontal forces, 230 N and 120 N, are exerted in opposite direction on a crate. What is the horizontal acceleration of the
crate if the mass of the crate is 20 kg?
5.5 m/s2
20 m/s2
17.5 m/s2
72 m/s2
1 answer:
Answer:
a = 5.5 [m/s²]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the force is equal to the product of mass by acceleration.
ΣF =m*a
where:
F = Force [N] (units of Newtons)
m = mass = 20 [kg]
a = acceleration [m/s²]
Let's take the force of 230 [N] as positive, in this way the other force will be negative, by pointing in the opposite direction.
![230 - 120 = 20*a\\110 = 20*a\\a=5.5 [m/s^{2} ]](https://tex.z-dn.net/?f=230%20-%20120%20%3D%2020%2Aa%5C%5C110%20%3D%2020%2Aa%5C%5Ca%3D5.5%20%5Bm%2Fs%5E%7B2%7D%20%5D)
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