Assuming you are supposed to write each conversion in scientific notation:
(2) 1 m = 100 cm, so
(67 cm) × (1/100 m/cm) = 67/100 m = 0.67 m = 6.7 × 10 ⁻¹ m
(3) 1 km = 1,000 m, so
(1.2 km) × (1000 m/km) = 1200 m = 1.2 × 10³ m
(4) 1 m = 1,000 mm = 10³ mm, so
(6.2 × 10 ⁻³ m) × (10³ mm/m) = 6.2 mm
(5) 1 m = 1,000,000,000 nm = 10⁹ nm, so
(4.05 × 10³ nm) × (1/10⁹ m/nm) = 4.05 × 10 ⁻⁶ m
(6) 1 g = 1,000,000 µg = 10⁶ µg, so
(3200 µg) × (1/10⁶ g/µg) = 3200 × 10 ⁻⁶ g = 3.2 × 10 ⁻³ g
SI Units are based on meters, kilograms, seconds, amperes, kelvins, candelas, and moles, together with a set of prefixes to indicate multiplication or division by a power of ten.
There are seven SI base units, which are:
m - Meter - Length.
s - Second - Time.
mol/Mole - Amount of Substance.
A - Ampere - Electric Current.
K - Kelvin - Temperature.
cd - Candela - Luminous Intensity.
kg - Kilogram - Mass.
I think that the delivered units are how they are used such as watts which are equal to one joule per second. Others are “ergs per second (erg/s), horsepower (hp), metric horsepower (Pferdestärke (PS) or cheval vapeur (CV)), and foot-pounds per minute.”
So, SI base units are the basic units of things such as length or temperature. This would mean that the delivered units are the specific units per something like miles per hour.
The beam is acting as the pivot and the weight of the deck acts through its center its gravity, at the midpoint of the deck.
Center of gravity at: (16 + 4)/2 = 10 ft
Converting 4 ft to meters: 1.22 m
Converting 10 ft to meters: 3.05
F x 1.22 = 3.05 x 3000 x 9.81
F = 73,600 N
Answer:
Explanation:
stiffness k = 160
m = 10
angular frequency ω = 
= 
= 4
ω = 4
Let x = 4 - A sinωt
when t = 0
x = 4 in
when t = 2 s , x = - 4
- 4 = 4 - A sinωt
8 = A sin 4 x 2
8 = A sin8
A = 8 / sin 8
= 8 / .989
= 8.09 in .
x = 4 - A sinωt
dx / dt = - Aω cosωt
v = - Aω cosωt
for t = 0
v = - Aω
= - 8.09 x 4
= - 32.36 in / s
initial velocity v = - 32.36 in /s
displacement x for t = 4s
x = 4 - 8.09 sin 4 x 4
= 4 - 8.09 sin 16
= 4 - 8.09 x - .2879
= 4 + 2.33
= 6.33 in.
c ) Amplitude of vibration A = 8.09 in .as calculated above .
If the truck moves at same speed but twice as much mass, its momentum is increased twice.
Answer:
Explanation:
Momentum is defined as the force experienced by any object for a given time. In other words, it is the measure of the mass and velocity required for a certain motion. So it is determined as the product of mass and velocity of any object.
Momentum = Mass × Velocity.
As momentum is directly proportional to both mass and velocity, increase in any one of these two quantities keeping the other constant will lead to increase in the momentum.
So in the present case, it is stated as speed is kept constant and the mass is increased twice, then the momentum will also increase twice.
New momentum = 2 ×mass × velocity = 2 × old momentum
If the truck moves at same speed but twice as much mass, its momentum is increased twice.
