Answer:
g' = 10.12m/s^2
Explanation:
In order to calculate the acceleration due to gravity at the top of the mountain, you first calculate the length of the pendulum, by using the information about the period at the sea level.
You use the following formula:
(1)
l: length of the pendulum = ?
g: acceleration due to gravity at sea level = 9.79m/s^2
T: period of the pendulum at sea level = 1.2s
You solve for l in the equation (1):
Next, you use the information about the length of the pendulum and the period at the top of the mountain, to calculate the acceleration due to gravity in such a place:
g': acceleration due to gravity at the top of the mountain
T': new period of the pendulum
The acceleration due to gravity at the top of the mountain is 10.12m/s^2
Answer
Explanation:
Convert the time to seconds = 0.6 × 60 × 60
= 2160seconds
Velocity = distance ÷ time
Velocity = 500 ÷ 2160
Velocity = 0.23meters per seconds(m/s)
Acceleration = Velocity ÷ time
Acceleration = 0.23 ÷ 2160
Acceleration = 0.000106meters per seconds ²(m/s²)
Answer:
6.7 m/s
Explanation:
In the vertical direction:
y₀ = 0.63 m
y = 0 m
v₀ᵧ = 0 m/s
aᵧ = -9.81 m/s²
In the horizontal direction:
x₀ = 0 m
x = 2.4 m
aₓ = 0 m/s²
Find: v₀ₓ
First, find the time:
y = y₀ + v₀ᵧ t + ½ aᵧt²
0 = 0.63 + (0) t + ½ (-9.81) t²
t = 0.358
Now, find the velocity:
x = x₀ + v₀ₓ t + ½ aₓt²
2.4 = 0 + v₀ₓ (0.358) + ½ (0) (0.358)²
v₀ₓ = 6.70
Rounded to two significant figures, the cat's velocity when it slides off the table is 6.7 m/s.
Answer:
<em>a) below the observed position</em>
<em>b) directly at the observed position</em>
<em></em>
Explanation:
If I'm standing on the bank of a stream, and I wish to spear a fish swimming in the water out in front of me, I would aim below the observed fish to make a direct hit. This is because the phenomenon of refraction of light in water causes the light coming from the fish is refract away from the normal as it passes into the air and into my eyes.
If I'm to zap the fish with a taser, I would aim directly at the observed fish because the laser (a form of concentrated light waves) will refract into the water, taking the same path the light from the fish took to get to my eyes.