Answer:
5.02 m
Explanation:
Applying the formula of maximum height of a projectile,
H = U²sin²Ф/2g...................... Equation 1
Where H = maximum height, U = initial velocity, Ф = angle, g = acceleration due to gravity.
Given: U = 46 ft/sec = 14.021 m/s, Ф = 45°
Constant: g = 9.8 m/s²
Substitute these values into equation 1
H = (14.021)²sin²45/(2×9.8)
H = 196.5884×0.5/19.6
H = 5.02 m.
Hence the ball goes 5.02 m high
Answer:
The pressure is 2.167 psi.
Explanation:
Given that,
Diameter = 1.5 feet
Height = 10 feet
We need to calculate the psi at 5 feet
Using formula of pressure at a depth in a fluid
Suppose the fluid is water.
Then, the pressure is

Where, P = pressure
= density
h = height
Put the value into the formula


Pressure in psi is


Hence, The pressure is 2.167 psi.
Answer: D(t) = 
Explanation: A harmonic motion of a spring can be modeled by a sinusoidal function, which, in general, is of the form:
y =
or y = 
where:
|a| is initil displacement
is period
For a Damped Harmonic Motion, i.e., when the spring doesn't bounce up and down forever, equations for displacement is:
or 
For this question in particular, initial displacement is maximum at 8cm, so it is used the cosine function:
period =
12 =
ω = 
Replacing values:

The equation of displacement, D(t), of a spring with damping factor is
.
Answer:
External force on him = 257.40 N
Equation is; F = ma (where 'f' is force, 'm' is mass and 'a' is acceleration)
Explanation:
The mass of the sprinter is 58.5 kg
His acceleration is 4.40 m/s²
According to Newton's second law of motion; F = ma
External force on the sprinter = 58.5 kg × 4.40 m/s² = 257.40 N
<span>Discuss the relationship between electric and magnetic fields. How are they related?</span>
The magnetic field is related to the electric field in such a way that magnetic fields moves perpendicular the electric field. This relationship exists between a magnetic field and an electric field is a consequence of associating elementary particles.
Hope This Helped! :3