The answer is <span>4.4143 x 10-19 joules

</span>

The energy (E) is: E = h * f

h - Planck's constant

f - the frequency

The frequency (f) is: f = c/∧

c - the speed of light

∧ - the wavelength

Hence:

E = h * f = h * c / ∧

We know:

h = 6.626 x 10⁻³⁴<span> Js

c = </span>2.998 x 10⁸<span> m/s

</span>∧ = 4.5 x 10⁻⁷<span> m

E = </span>6.626 x 10⁻³⁴ Js * 2.998 x 10⁸ m/s / 4.5 x 10⁻⁷ m

E = 4.4143 x 10⁻³⁴ ⁺ ⁸ ⁻ ⁽⁻⁷⁾ J

E = 4.4143 x 10⁻¹⁹ J

**Answer:**

<em>displacement = -85 miles</em>

**Explanation:**

<u>Displacement
</u>

It's a magnitude used to measure the linear space between two points. It's computed as the subtraction of the final position minus the initial position which results in a vector. Notice the displacement only depends on the initial and final positions and not on the path the object has traveled.

Brayden starts to measure his position when the mile marker reads 260. Then he travels to the 150-mile marker and goes back to the 175-mile marker, his final position. As mentioned, the displacement only depends on the relative positions, so

displacement = 175 - 260 = -85 miles

**Answer:**

F = -307.4 N

**Explanation:**

It is given that,

Mass of the baseball, m = 0.145 kg

Initial speed of the baseball, u = 60 m/s

Final speed of the baseball,

Time of contact,

**(a) It is assumed to find the horizontal component of average force. It is given by :**

**F = -307.4 N**

**So, the horizontal component of average force is 307.4 N. Hence, this is the required solution.**