Answer:
The longest wavelength of light is 209 nm.
Explanation:
Given that,
Spring constant = 74 N/m
Mass of electron
Speed of light
We need to calculate the frequency
Using formula of frequency
Where, k= spring constant
m = mass of the particle
Put the value into the formula
We need to calculate the longest wavelength that the electron can absorb
Where, c = speed of light
f = frequency
Put the value into the formula
Hence, The longest wavelength of light is 209 nm.
1) 12.5 N east
There are two forces acting on the box along the horizontal direction:
- The applied force of 15 N east, we indicate it with F
- The force of friction of 2.5 N west, we indicate it with
Taking east as positive direction, we can write the two forces has
Therefore, the net force on the box will be:
And the positive sign means the direction is east.
2)
We can solve this part by using Newton's second law:
where
is the net force on the box
m is its mass
a is the acceleration
For the box in this problem,
(east)
m = 5.0 kg
Solving for a, we find the acceleration:
And the direction is the same as the net force (east)
Answer:
The bike traveled 31.3 meters during this period
Explanation:
A speed bike tops a hill at 3.50 m/s and accelerates steadily down the
hill until reaching a speed of 11.4 m/s after 4.20 seconds
→ The initial speed u = 3.5 m/s
→ The final speed v = 11.4 m/s
→ The time of acceleration t = 4.2 seconds
→ a =
Substitute the values above in the rule to find the acceleration a
→ a = = 1.88 m/s²
We need to find the distance that the bike traveled during the
acceleration
→ v² = u² + 2 a s, where s is the distance
→ (11.4)² = (3.5)² + 2 (1.88)(s)
→ 129.96 = 12.25 + 3.76 s
Subtract 12.25 from both sides
→ 117.71 = 3.76 s
Divide both sides by 3.76
→ s = 31.3 meters
<em>The bike traveled 31.3 meters during this period</em>