Answer:
The force of static friction acting on the luggage is, Fₓ = 180.32 N
Explanation:
Given data,
The mass of the luggage, m = 23 kg
You pulled the luggage with a force of, F = 77 N
The coefficient of static friction of luggage and floor, μₓ = 0.8
The formula for static frictional force is,
Fₓ = μₓ · η
Where,
η - normal force acting on the luggage 'mg'
Substituting the values in the above equation,
Fₓ = 0.8 x 23 x 9.8
= 180.32 N
Hence, the minimum force require to pull the luggage is, Fₓ = 180.32 N
The total amount of energy always stays the same because of the law of conservation of energy, meaning that there is always the same amount of energy, it just gets turned into different forms like potential energy, kinetic energy, sound, thermal, etc.
C. unbalanced is the correct answer for newton's first law.
The center of mass is given with this formula:
![x_c=\frac{\sum_{n=1}^{n=i}m_ix_i}{M}](https://tex.z-dn.net/?f=x_c%3D%5Cfrac%7B%5Csum_%7Bn%3D1%7D%5E%7Bn%3Di%7Dm_ix_i%7D%7BM%7D)
Velocity is:
![v=\frac{dv}{dt}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bdv%7D%7Bdt%7D)
So, for the velocity of the center of mass we have:
![\frac{dx_c}{dt}=\frac{\sum_{n=1}^{n=i}d(m_ix_i)}{Mdt}\\ v_c=\frac{\sum_{n=1}^{n=i}p_i}{M}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bdx_c%7D%7Bdt%7D%3D%5Cfrac%7B%5Csum_%7Bn%3D1%7D%5E%7Bn%3Di%7Dd%28m_ix_i%29%7D%7BMdt%7D%5C%5C%0Av_c%3D%5Cfrac%7B%5Csum_%7Bn%3D1%7D%5E%7Bn%3Di%7Dp_i%7D%7BM%7D%5C%5C)
In our case it is:
The strength of an electromagnet can be altered by increasing the number of coils around the core. The more times the coil is wrapped, the stronger the electromagnet is.
Your answer is: B) Increasing the number of coils around the core
Have an amazing day and stay hopeful!