Answer:
The time it takes the stone to reach the bottom of the cliff is approximately 4.293 s
Explanation:
The given parameters are;
The height of the cliff, h = 90.4 m
The direction in which the stone is thrown = Horizontally
The speed of the stone in the horizontal direction = 10 m/s
The time, t, it takes the stone to reach the bottom of the cliff is given by the equation for free fall as follows;
h = 1/2 × g × t²
Where;
g = The acceleration due to gravity = 9.81 m/s²
Substituting the values gives;
90.4 = 1/2 × 9.81 × t²
t² = 90.4/(1/2 × 9.81) ≈ 18.43 s²
t = √18.43 ≈ 4.293 s
The time it takes the stone to reach the bottom of the cliff is t ≈ 4.293 s.
<span>Longitudinal waves travel through a series of compression's and </span>rarefaction's.<span />
When you draw the figure described in the problem, you will see a right triangle where the hypotenuse is the length of the ramp which is 210 feet and the height is 31 feet. To determine the angle formed between the ramp and the freeway, we use a trigonometric function which would be the sine function. We do as follows:
sin (α) = height / hypotenuse
sin (α) = 31 / 210
α = 8.49 degrees
Answer:
325 m/s
Explanation:
The velocity of waves is given as the product of wavelength and frequency of the waves. This is expressed as s=fw where s is the speed, f is frequency and w is wavelength.
Sometimes, when provided with period, you get frequency as the reciprocal of period.
In this case, since the wavelength is given as 0.013 m and frequency as 25000 then we substitute them into the equation of speed as
S=25000*0.013=325 m/s
Therefore, the speed is 325 m/s
Answer:
58230.08849 Pa
Explanation:
F = W = Weight of the person = 658 N
A = Area to which the force is applied =
When the force is divided by the area to which the force is applied we obtain the pressure
Hence, pressure the foot exerts on the floor is 58230.08849 Pa