Answer:
Explanation:
Let the length of the string is L.
Let T be the tension in the string.
Resolve the components of T.
As the charge q is in equilibrium.
T Sinθ = Fe ..... (1)
T Cosθ = mg .......(2)
Divide equation (1) by equation (2), we get
tan θ = Fe / mg
As θ is very small, so tanθ and Sinθ is equal to θ.
Answer
given,
initial speed of boat, u = 0 m/s
acceleration of the boat, a = 0.21 m/s²
distance,s = 280 m
a) using equation of motion
v² = u² + 2 a s
v² = 0² + 2 x 0.21 x 280
v = √117.6
v = 10.84 m/s
Final speed of the boat is equal to 10.84 m/s
b) again using equation of motion
v = u + a t
10.84 = 0 + 0.21 x t
0.21 t = 10.84
t = 51.62 s
time taken by the boat to travel the distance is equal to 51.62 s.
The answer is 30.
Explanation:
4m•(3)=12m
10•(3)=30
Answer:
a) x = (0.0114 ± 0.0001) in
, b) the number of decks is 5
Explanation:
a) The thickness of the deck of cards (d) is measured and the thickness of a card (x) is calculated
x = d / 52
x = 0.590 / 52
x = 0.011346 in
Let's look for uncertainty
Δx = dx /dd Δd
Δx = 1/52 Δd
Δx = 1/52 0.005
Δx = 0.0001 in
The result of the calculation is
x = (0.0114 ± 0.0001) in
b) You want to reduce the error to Δx = 0.00002, the number of cards to be measured is
#_cards = n 52
The formula for thickness is
x = d / n 52
Uncertainty
Δx = 1 / n 52 Δd
n = 1/52 Δd / Δx
n = 1/52 0.005 / 0.00002
n = 4.8
Since the number of decks must be an integer the number of decks is 5
It has been known that the discovery of machines have been one of the most beneficial inventions of all time. These simple machines include levers, wheels gears, pulleys and wedges. Among these machines, lever is more likely confused and associated with hydraulics. To differentiate the two; a lever is machine that has inverse effect of one side when a force is applied on the other side, for example a seesaw. While hydraulic machine is quite more complicated than the aforementioned machines and uses liquid power to do simple work like that of an excavator.