1. Answer;
Force = 98.1 Newtons
Explanation;
-On the hanging mass the net force is
Fnet = Mh*g - T = Mh*a where Mh is the mass = 10kg, g = 9.81m/s², and T the tension in the string. Its acceleration is a ( same as g)
Thus; Force = 10 kg × 9.81 m/s²
= 98.1 Newtons.
2. Answer;
a = 4.905 m/s²
Solution;
-We know that that T = Ms*a, but Fnet = Mh*g - T = Mh*a
Substituting; T with Ms*a
Mh*g - Ms*a = Mh*a
Mh*a + Ms*a = Mh*g
a = Mh*g/(Mh + Ms)
= 10.0kg*9.81 m/s²/(10kg + 10kg)
= 4.905 m/s²
If you have two sides, you only need two. Otherwise it’s 3 parts
The diagram shows the coordinates of the vector. They are:
East-coordinate = 6
North-coordintate = 4
A) To find the magnitude you just use Pythagorean theorem:
c^2 = 6^2 + 4^2 = 36 + 16 = 52 => c = √52 = 7.21
7.21 rounded to the nearest tenth is 7.2
B) To find the direction find the angle using trigonometric ratios:
tan(angle) = 4/6 = 2/3 => angle = arctan(2/3) = 33.69 degrees
That is 33.69 degrees North of East, which is written N 33.69° E
The answer to your question is <A= 51