Answer:
Explanation:
We are asked to find the mass of a cabinet, given the force and acceleration. According to Newton's Second Law of Motion, force is the product of mass and acceleration. The formula for this is:
The force is 200 Newtons, but we should convert the units to make unit cancellation easier. 1 Newton is equal to 1 kilogram meter per second squared, so the force of 200 Newtons is 200 kilogram meters per second squared.
The mass is unknown and the acceleration is 4 meters per second per second or 4 meters per second squared.
Substitute the values into the formula.
We are solving for the mass, m, so we must isolate the variable. It is being multiplied by 4 meters per second squared. The inverse operation of multiplication is division. Divide both sides by 4 m/s²
The units of meters per second squared cancel.
The mass of the cabinet is <u>50 kilograms.</u>
Answer:
120 kg•m/s.
Explanation:
From the question given above, the following data were obtained:
Case 1
Mass of object = M
Velocity of object = V
Momentum = 15 kg•m/s
Case 2
Mass of object = 2M
Velocity of object = 4V
Momentum = ?
Momentum is defined as follow:
Momentum = mass × velocity
The momentum of object in case 2 can be obtained as follow:
From case 1
Momentum = mass × velocity
15 = M × V
15 = MV ....... (1)
From case 2:
Momentum = mass × velocity
Momentum = 2M × 4V
Momentum = 8MV ....... (2)
Finally , substitute the value of MV in equation 1 into equation 2.
Momentum = 8MV
MV = 15
Momentum = 8 × 15
Momentum = 120 kg•m/s
Therefore, an object with a mass of 2M and 4V would have a momentum of 120 kg•m/s
Answer:
6.86 * 10^8 m
Explanation:
Parameters given:
Mass of hot gas, m = 2 kg
Gravitational Force, F = 618.2 N
Mass of Alpha Centauri, M = 2.178 * 10^30 kg
The gravitational force between two masses (the hot gas and Alpha Centauri) , m and M, at a distance, r, given as:
F = (G*M*m) / r²
Where G = gravitational constant
Therefore,
618.2 = (6.67 * 10^(-11) * 2.178 * 10^30 * 2) / r²
=> r² = (6.67 * 10^(-11) * 2.178 * 10^30 * 2) / 618.2
r² = 4.699 * 10^17 m²
=> r = 6.86 * 10^8 m
We are told that the hot gas is on the surface of Alpha Centauri, hence, the distance between both their centers is the radius of Alpha Centauri.
The mean radius of Alpha Centauri is 6.86 * 10^8 m.
Answer:
This represents radiation in ultra-violet region .
Explanation:
Energy of the orbit where n = 3 is given as follows
= -1.511 eV
Energy of the orbit where n = 1 is given as follows
= 13.6 eV
Difference of [tex]E_3 and [tex]E_1 = - 1.511+ 13.6
= 12.089 eV.
The wavelength of light having this energy in nm is given by the expression as follows
Wavelength in nm = 1244 / energy in eV
= 1244 / 12.089
= 102.90 nm
This represents radiation in ultra-violet region .
