Answer:
by a factor of 2
Explanation:
Maximum speed of a body in simple harmonic motion relate to the amplitude by the following formula:
v ( maximum speed in m/s ) = x ( amplitude in meters ) √K /m where K is in N/m and m is kg
v is directly proportional to the amplitude and increases as the amplitude increases by a factor of 2
An approximation used to measure building height is 10 feet per building level.
Converting from feet to meters using the equation:
1 ft = 0.3048m
10 ft = 3.048m
Multiplying that by 30 storeys, we get:
3 x 3.048m = 91.44m, which is near the answer of (3) 10^2 m or 100m.
Answer:
2500 kg/m³
Explanation:
The density is ...
(107 g)/((12.2 cm)(3.7 cm)(0.95 cm)) = 107/42.883 g/cm³ ≈ 2.5 g/cm³
In kg/m³, the density is ...
(2.5 g/cm³)×(1 kg/(1000 g))×(100 cm/m)³ = 2500 kg/m³
The conversion from CGS to MKS units of density is done using the usual method of units conversion. The conversion factor multipliers each change the units without changing the value, because their numerator is equal to the denominator.
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2 significant figures are used because the block dimensions have a precision of 2 significant figures.
Answer:
Molar Mass=193.9738 g/mol
Molar Mass≅194g/mol
Explanation:
Consider the formula:
m=ΔT/K_{f}
where:
ΔT is freezing point depression
K_{f} is freezing point depression constant
m is the morality=(moles of solute/kg of solvent)
Now:
Now:
0.07733 (moles of solute/kg of solvent) *0.010 kg of solvent
moles of solute(Caffeine)
Molar mass = Mass of solute/moles of solute
Molar Mass=
Molar Mass=193.9738 g/mol
Molar Mass≅194g/mol
Let the directions are defined by vectors as following
East = + x direction
West = - x direction
North = + y direction
South = - y direction
upwards = + z direction
downwards = - z direction
So here we are given that it moves
1). 10 m East
2). 9 m South
3). 3 m North
4). 2 m down
So we can write it as
Now total displacement will be given as
now the magnitude of the displacement will be
so the magnitude of displacement will be 11.8 m
