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No matter what the mass is, there are two conditions for equilibrium:
- The sum of forces on an object must be zero.
- The sum of torques on an object must be zero.
For actual calculations, each of these conditions usually translates to three separate equations.
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Is the period of a vibrating spring linearly affected by the mass of the attached object?
Let a mass m be attached to the end of a spring with spring constant k. The spring extends and comes to rest with an equilibrium extension e. At equilibrium; Weight = Force exerted by spring => mg = ke -------- 1 Suppose the spring is displaced through a displacement x downwards from its equilibrium position: Resolving vertically, we have; Resultant force on mass = Force exerted by spring - Weight of mass => ma = k(e + x) - mg ------- 2 From 1, we have: ma = mg + kx - mg => a = (k/m)x Since a is proportional to displacement from equilibrium position, the oscillation is simple harmonic. So, (angular velocity)2 = (k/m) => 2pi/T = (k/m)1/2 => T = 2pi (m/k)1/2 This equation shows that the time period is proportional to the square root of the mass of the attached object.
How is mass of an object measured?
It is the force of gravity divided by the weight of the object, written as M=N/9.81, where M is the mass and w is the weight of the object in Newtons.
If 90 percent of an object is floating below water what is its density?
Let's say the object has mass M and volume V. An object floats by displacing an amount of water equal to the object's mass. So water equal to 90% of the volume of the object has mass equal to the whole object, or M = 0.9V * 1g/ml or M = 0.9V Since density is mass divided by volume, or d = M/V, density of object = M/V = 0.9 g/ml.
If the weight of an object of mass m is mg then the weight of an object of mass 2m is?
its weight is 2mg
What does the m stand for in the formula for kinetic energy?
m stands for Mass of the object
Is the period of a vibrating spring linearly affected by the mass of the attached object?
Let a mass m be attached to the end of a spring with spring constant k. The spring extends and comes to rest with an equilibrium extension e. At equilibrium; Weight = Force exerted by spring => mg = ke -------- 1 Suppose the spring is displaced through a displacement x downwards from its equilibrium position: Resolving vertically, we have; Resultant force on mass = Force exerted by spring - Weight of mass => ma = k(e + x) - mg ------- 2 From 1, we have: ma = mg + kx - mg => a = (k/m)x Since a is proportional to displacement from equilibrium position, the oscillation is simple harmonic. So, (angular velocity)2 = (k/m) => 2pi/T = (k/m)1/2 => T = 2pi (m/k)1/2 This equation shows that the time period is proportional to the square root of the mass of the attached object.
How is mass of an object measured?
It is the force of gravity divided by the weight of the object, written as M=N/9.81, where M is the mass and w is the weight of the object in Newtons.
What influences the kinetic energy of an object?
The mass and velocity of an object determine the kinetic energy of an object. The equation for kinetic energy is KE = 1/2mv2, where m is mass in kg, and v is velocity in m/s.
If 90 percent of an object is floating below water what is its density?
Let's say the object has mass M and volume V. An object floats by displacing an amount of water equal to the object's mass. So water equal to 90% of the volume of the object has mass equal to the whole object, or M = 0.9V * 1g/ml or M = 0.9V Since density is mass divided by volume, or d = M/V, density of object = M/V = 0.9 g/ml.
Which equation can be used to solve for the mass of the object?
Thanks to Isaac Newton's Second Law of Motion, one can determine the mass of an object if he or she knows both the force acting upon the object and the acceleration of the object. Newton's equation is as follows: F = ma; where "F" is the force acting upon the object, "m" is the mass of the object. and "a" is the acceleration of the object. Solving for "m", the equation can be rewritten as: m = F/m. Substitute force for "F", and acceleration for "a", and you can solve for the mass of the object.
If the weight of an object of mass m is mg then the weight of an object of mass 2m is?
its weight is 2mg
What does the m stand for in kinetic energy?
m stands for Mass of the object
What is the equation for newtons second law?
The unbalanced force acting on an object equals the object's mass times it acceleration. The equation to find force is as follows.Force=mass*accelerationf=mv
What is M in the formula of heat of solution?
it is the mass of an object
What does the m stand for in the formula for kinetic energy?
m stands for Mass of the object
What is the formula for finding the mass of an object?
To find the volume of an object use the formula v=dm where Volume=Density x Mass To find the mass of an object use the formula m=dv where Mass=Density x Volume
An object blank is its mass divided by its volume?
m/v=d. An object's density is represented by mass over volume.
