Answer:
0.3858 Nm
Explanation:
The torque of the couple is the dot product of the force vector and the couple vector from 1 end of the ruler to the center. This equals to the product of their magnitude times the cosine() of the angle made by their direction:
Answer: thermal energy
Explanation: Thermal energy is the conversion of kinetic energy
Frequency is inversely proportional to wavelength.
Wavelength is the spacial period, and more generally the frequency is inversely proportional to the period.
If the wave's speed if c, then f=c/l where l is the wavelength.
Answer:
4.58×10²³ atoms
5.94×10⁻²¹ J
1340 m/s
Explanation:
Use ideal gas law to find moles of gas.
PV = nRT
(1.266 atm × 101300 Pa/atm) (4/3 π (0.15 m)³) = n (8.31451 J/mol/K) (14 + 273) K
n = 0.760 mol
Use Avogadro's number to find number of atoms.
(0.760 mol) (6.02214×10²³ atom/mol) = 4.58×10²³ atoms
Average kinetic energy per molecule is:
KE = 3/2 kT
KE = 3/2 (1.38066×10⁻²³ J/K) (14 + 273) K
KE = 5.94×10⁻²¹ J
RMS speed of each atom is:
KE = 1/2 mv²
5.94×10⁻²¹ J/atom = 1/2 (0.004 kg/mol) (1 mol / 6.02214×10²³ atom) v²
v = 1340 m/s
Answer:
tanΘ
Explanation:
Let gravitational acceleration be g. When the avalanche starts to occur, the gravity force that is parallel to the slope is the same as friction force.
Gravity force that is parallel to the slope can be written as:
G = mgsinΘ
The friction force is the product of normal force and coefficient:
where normal force N is the gravity in the direction perpendicular to the slope
As stated before, gravity force that is parallel to the slope is the same as friction force:
