Answer:
A) g = 9.751 m/s², B) h = 2.573 10⁴ m
Explanation:
The angular velocity of a pendulum is
w = √ g / L
Angular velocity and frequency are related.
w = 2π f
f = 1 / 2π √ g / L
A) with the initial data we can look for the pendulum length
L = 1 /4π² g / f²
L = 1 /4π² 9,800 / 0.3204²
L = 2.4181 m
The length of the pendulum does not change, let's look for the value of g for the new location
g = 4π² f² L
g = 4π² 0.3196² 2.4181
g = 9.75096 m / s²
g = 9.751 m/s²
B) The value of the acceleration of gravity can be found with the law of universal gravitation
F = G m M / 
²
And Newton's second law
W = m g
W = F
G m M / ² = mg
g = G M / ²
² = G M / g
Let's calculate
² = 6.67 10⁻¹¹ 5.98 10²⁴ /9.75096
R = √ 4.0905 10¹³ = √ 40.9053 10¹²
R = 6.395726 10⁶ m
The height above sea level is
h = R - [tex]R_{e}[/tex
h = (6.395726 -6.37) 10⁶
h = 0.0257256 106
h = 2.573 10⁴ m
Answer:
Option D - 0.2 s
Explanation:
We are given;
Initial velocity; u = 7 m/s
Height of table; h = 1.8m
Now,since we want to find the time the car spent in the air, we will simply use one of Newton's equation of motion.
Thus;
h = ut + ½gt²
Plugging in the relevant values, we have;
1.8 = 7t + ½(9.8)t²
4.9t² + 7t - 1.8 = 0
Using quadratic formula to find the roots of the equation gives us;
t = -1.65 or 0.22
We can't have negative t value, thus we will pick the positive one.
So, t = 0.22 s
This is approximately 0.2 s
Answer:
d = 52 μm
Explanation:
given,
wavelength of the light source (λ)= 550 nm
distance to form interference pattern(D) = 1.5 m
y = 1.6 cm = 0.016 m
width of the slits = ?
now, using displacement formula
for the first maxima, m = 1
d = 5.2 x 10⁻⁶ m
d = 52 μm
hence, the width of her slits is equal to d = 52 μm
When pushing a toy truck up an inclined plane, the force that makes the truck goes up is the force that the child uses to push the truck. (The force that pushes
Therefore the correct option is C.
Johannes Kepler- he did it by observing the ‘Tycho Brahe’. His 3rd law was published 10 years later to his first two laws.
