Answer: a= 0.175 m/s²
Explanation: To solve for acceleration we will use Newton's Second Law of Motion which is F=ma. Since there are multiple forces acting on the object, we need to summate the forces involved. Derive to find acceleration.
a= F/m
= 5 N - 3.6 N / 8 kg
= 0.175 m/s²
Answer:
<em>The data set marked as B has the largest standard deviation</em>
Explanation:
<u>Standard Deviation</u>
It's a number used to show how a set of measurements is spread out from the average value. A low standard deviation means that most of the values are close to the average. A high standard deviation means that the numbers are more spread out.
The formula for the standard deviation is
Where is the value of each measurement, n is the number of elements in the set, and
is the average or media of the values, defined as
Let's analyze each set of data:
A.3,4,3,4,3,4,3
The average is
Computing the stardard deviation:
B.1,6,3,15,4,12,8
The average is
Computing the stardard deviation:
C. 20, 21,23,19,19,20,20
The average is
Computing the stardard deviation:
D.12,14,13,14,12,13,12
The average is
Computing the stardard deviation:
We can see the data set marked as B has the largest standard deviation
Answer:
Yes, since the choice of the zero o potential energy is arbitrary.
Explanation:
The kinetic energy is due to the motion of the object. The expression for the kinetic energy is as follows;
Here, m is the mass of the object and v is the velocity of the object.
The kinetic energy can not be negative as the velocity is squared. It can be zero and positive.
Potential energy: It is the energy is due to the position of the object.
The expression for the potential energy is as follows;
PE= mgh
Here, g is the acceleration due to gravity and height.
Height can be taken from the reference point, zero which can be taken below zero and above zero. Zero is taken as origin. Below zero, the height is taken as negative and above zero, the height is taken as positive.
The potential energy can be zero, positive and negative.
The total energy is the sum of kinetic energy and potential energy.
E= KE + PE
Here, KE is the kinetic energy and PE is the potential energy.
Therefore, the option (B) is correct.