Using the Equation:
v² = vi² + 2 · a · s → Eq.1
where,
v = final velocity
vi = initial velocity
a = acceleration
s = distance
<span><span>We know that vi = 0 because the ball was at rest initially.
</span><span>
Therefore,
Solving Eq.1 for acceleration,
</span></span> v² = vi² + 2 · a · s
v² = 0 + 2 · a · s
v² = 2 · a · s
Rearranging for a,
a = v ²/2·<span>s
Substituting the values,
a = 46</span>²/2×1<span>
a = 1058 m/s</span>²
<span>Now applying Newton's 2nd law of motion,
</span>
<span>F = ma
= 0.145</span>×<span>1058
F = 153.4 N</span>
Answer:
1/2 Hz
Explanation:
A simple harmonic motion has an equation in the form of

where A is the amplitude,
is the angular frequency and
is the initial phase.
Since our body has an equation of x = 5cos(π t + π/3) we can equate
and solve for frequency f

f = 1/2 Hz
Answer:

Explanation:
Given that,
The energy of the microwave oven is
.
We need to find the wavelength of these photons.

The energy of a wave is given by :

Put all the values,

So, the wavelength of these photon is
.
Answer:
6.07 N
Explanation:
Given that,
Force, F = 35 N
It makes 10 degree angle with the positive x-axis.
We need to find the magnitude of the vertical component of the force. It can be given by :

So, the magnitude of the vertical component of the force is 6.07 N.
Answer:
A(many people think that no energy or matter exists outside the universe)
Explanation: