When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. when a certain constant force acts upon an object with mass 6 kg, the acceleration of the object is 7 /ms2. if the same force acts upon another object whose mass is 14 kg, what is this object's acceleration?

a = 3 m/s^2

Step-by-step explanation:

Let the acceleration of the object be represented by a

Let the constant force acting on the object be represented by k

Let the mass of the object represented by m

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. This means that

a = k/m

When a certain constant force acts upon an object with mass 6 kg, the acceleration of the object is 7 /ms2. It means that when a = 7, m = 6. We would find k. Therefore

7 = k/6

k = 7×6 = 42

The expression becomes

a = 42/m

If the same force acts upon another object whose mass is 14 kg, it means that m = 14, then

a = 42/14 = 3

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.