Your potential energy and mass don't tell what your weight is.
If I walk up from the first floor to the second floor, my weight hasn't
changed even though my potential energy has increased.
Answer:
The acceleration is 2.448 meters per square second and is vertically upward.
Explanation:
The Free Body Diagram of the plastic ball in the liquid is presented in the image attached below. By Second Newton's Law, we know that forces acting on the plastic ball is:
(1)
Where:
- Buoyant force, measured in newtons.
- Mass of the plastic ball, measured in kilograms.
- Gravitational acceleration, measured in meters per square second.
- Net acceleration, measured in meters per square second.
If we know that
,
and
, then the net acceleration of the plastic ball is:


The acceleration is 2.448 meters per square second and is vertically upward.
Answer:
0.144 kg of water
Explanation:
From Raoult's law,
Mole fraction of solvent = vapor pressure of solution ÷ vapor pressure of solvent = 423 mmHg ÷ 528.8 mmHg = 0.8
Let the moles of solvent (water) be y
Moles of solute (C3H8O3) = 2 mole
Total moles of solution = moles of solvent + moles of solute = (y + 2) mol
Mole fraction of solvent = moles of solvent/total moles of solution
0.8 = y/(y + 2)
y = 0.8(y + 2)
y = 0.8y + 1.6
y - 0.8y = 1.6
0.2y = 1.6
y = 1.6/0.2 = 8
Moles of solvent (water) = 8 mol
Mass of water = moles of water × MW = 8 mol × 18 g/mol = 144 g = 144/1000 = 0.144 kg
Answer:
option B
Explanation:
given,
toy car is moving in circular track
speed is doubled— a change of a factor of 2
to find change in factor of acceleration
radius doesn't change
centripetal acceleration formula
=
velocity is change in factor of 2
so acceleration will be change at the factor of
=
= 2² = 4
so the correct answer is option B
Answer:
Part(a): The final angular velocity is 
Part(b): The ratio of the rotational energies is
,showing the the energy of th system will decrease.
Explanation:
Part(a):
If '
' be the moment of inertia of an object and '
' be its angular velocity then the angular momentum '
' of the object can be written as

If '
' and '
' be the moment of inertia of the two cylinders and '
' and '
' be the initial angular velocity of the cylinders and '
' and '
' be their respective final angular velocity, then from conservation of angular momentum,

Given,
. From the above expression

Part(b):
Initial kinetic energy
and Final kinetic energy

Substituting the value of
,

The above expression shows that the ebergy of the system will decrease.