Answer:
Explanation:
initial velocity, u = 8 m/s
vertical height, h = 1 m
θ = 40°
Let the horizontal distance is d and the time taken is t.
Use second equation of motion in vertical direction
h = ut + 1/2 at²
1 = 8 Sin 40 x t + 0.5 x 9.8 t²
1 = 5.14 t - 4.9t²
4.9t² - 5.14 t + 1 = 0
so, t = 0.26 s (smaller value)
So, the horizontal distance is
d = u cos 40 x t
d = 8 cos 40 x 0.26
d = 1.6 m
Answer:
angular velocity
Explanation:
In physics the quantity represented by is the <u>angular velocity, </u>the units of the angular velocity are radians/second.
This is a quantity that represents the speed when the movement of an object follows a circular path.
Mathematically defined as follows:
Where is the period, the time it takes to complete a lap.
Answer:
It will take 3.5s to reach the ground
Explanation:
Answer:
k = 101.2 N / m
Explanation:
For this exercise we can use the relationship between work and energy
W = ΔK (1)
Where the work of the friction force is
W = fr x cos θ
As the friction force opposes the movement, the angle is 180º, so the kinetic product remains
W = - fr x
The friction force is given by the equation
fr = μ N
Let's use Newton's second law
Axis y
N - W = 0
N = W
We substitute
fr = μ mg
So the work is
W = - μ m g x
On the other hand, the variation in energy is
ΔEm = Em_final - Em_inicial
ΔEm = ½ k x² - ½ m v²
We substitute in our initial equation 1
-μ m g x = ½ k x² - ½ m v²
k = 2m / x² (- μ g x + ½ v²)
k = 2 2.00 / 0.190² (- 0.660 9.8 0.190 + ½ 2.07²)
k = 101.2 N / m
Answer:
<u />
- <u> equal to the weight of the fluid that the body displaces</u>
Explanation:
<em />
<em>Archimides' principle </em>states the definition of buoyant force.
These are the imporant features of the buoyant force that you need to know:
- Except for the very special vacuum condition, every body is immersed in a fluid.
- The body is subject, at least, to two forces, its weight and the buoyant force.
- The weight is the result of the gravitational attraction exerted by the planet, and is equal to the mass of the object by the gravitational acceleration (approximately 9.8 m/s² on Earth). It is directed vertically downward.
- The <em>buoyant force </em>is the vertical upward force that the fluid exerts on the object and is equal to the weight of the volume of fluid displaced by the object.
- The volume of fluid that the body displaces is equal to the immersed volume of the body.