B, heat, is the correct answer. Heat is represented by a capital q in thermodynamic equations.
Answer:
P=9.58 W
Explanation:
According to Newton's second law, and assuming friction force as zero:
The acceleration is given by:
So the force exerted by the motor is:
The work done by the motor is given by:
And finally, the power is given by:
Newton's law of conservation states that energy of an isolated system remains a constant. It can neither be created nor destroyed but can be transformed from one form to the other.
Implying the above law of conservation of energy in the case of pendulum we can conclude that at the bottom of the swing the entire potential energy gets converted to kinetic energy. Also the potential energy is zero at this point.
Mathematically also potential energy is represented as
Potential energy= mgh
Where m is the mass of the pendulum.
g is the acceleration due to gravity
h is the height from the bottom z the ground.
At the bottom of the swing,the height is zero, hence the potential energy is also zero.
The kinetic energy is represented mathematically as
Kinetic energy= 1/2 mv^2
Where m is the mass of the pendulum
v is the velocity of the pendulum
At the bottom the pendulum has the maximum velocity. Hence the kinetic energy is maximum at the bottom.
Also as it has been mentioned energy can neither be created nor destroyed hence the entire potential energy is converted to kinetic energy at the bottom and would be equivalent to 895 J.
The heat energy required is 2983 J
Explanation:
When an amount of energy Q is supplied to a certain sample of substance of mass m, the temperature of the substance increases by an amount of 
according to the equation
:
where
Q is the heat supplied
m is the mass of the object
is the specific heat capacity of the substance
is the change in temperature
For the glass bottle in this problem:
is the change in temperature
is the specific heat of glass
Substituting into the equation, we find
Learn more about specific heat capacity:
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Answer:
Mechanical Advantage = Output Force/Input Force
Velocity Ratio = Driving Gear/Driven Gear
Explanation:
