Answer:
1083.3kg/m
³
Explanation:
Given parameters:
Mass of aluminium ball = 3.4kg
Apparent mass of ball = 2.1kg
Unknown:
Density of the liquid = ?
Solution:
Density is is the mass per unit volume of any give substance;
Density = 
Now, we must understand that the apparent weight of the aluminium is the part of its weight supported by the fluid;
Pl = 
Pl = density of liquid
Ml = mass of liquid
Vl = volume of liquid
Mass of liquid = Mal - Mapparent
Mal = mass of aluminium
The volume of liquid displaced is the same as the volume of the aluminium according to Archimedes's principle;
Ml = Pl x Vl
Val = Vl
Val volume of aluminium
Vl = volume of liquid
****
Pal = 
Val = 
Val = volume of aluminium
Mal = mass of aluminium
Pal = density of aluminium
*****
Since the Val = Vl
Ml = Pl x
Since
Ml = Mal - Mapparent
Mal - Mapparent = Pl x
Pal = density of aluminium = 2712 kg/m
³
3.4 - 2.1 = Pl x 
1.3 = Pl x 0.00123
Pl = 1083.3kg/m
³
The correct answer is the statement #3. The statement that says: your hypothesis must be testable, is a true statement about the scientific process. IT will be truly unreasonable and a waste to be doing experiments on a hypothesis that is not even possible to solve.
Answer: F = 776.18N θ = 29.41°
Question:
The magnitude of the resultant force is to be 200 N, directed along the positive y-axis. Determine the magnitude of the force F Find the angle θ.
Attached is the image.
Explanation:
To solve this question we need to resolve the forces to the x and y axis.
For the x axis;
Fcosθ = 700cos15....1
For the y axis;
200 = Fsinθ - 700sin15
Fsinθ = 200 + 700sin15 ...2
Dividing equation 2 by 1
Fsinθ/Fcosθ = (200 + 700sin15)/700cos15
Tanθ = (200 + 700sin15)/700cos15
θ = Taninverse(200 + 700sin15)/700cos15)
θ = 29.41°
From equation 1;
F = 700cos15/cosθ
F = 700cos15/cos29.41
F = 776.18N
The wire vibrates back and forth between the poles of the magnet.
The frequency of the vibration is the frequency of the AC supply.
Answer: 13.33 m/s^2
Explanation:
Force is the product of mass of an object and its acceleration.
i.e Force = Mass x Acceleration
Since Force on object = 800N
Mass of object = 6Kg
Acceleration = ?
Then, Force = Mass x Acceleration
800N = 60Kg x Acceleration
Acceleration = (800N/60kg)
Acceleration = 13.33 m/s^2 (The unit of acceleration is metre per second square)
Thus, the objects accelerations is 13.33 m/s^2
