w = instantaneous angular speed = 1.25 rad/s
r = radius = 4.65 m
α = angular acceleration = 0.745 rad/s²
centripetal acceleration is given as
= rw²
= (4.65 ) (1.25)² = 7.27 m/s²
tangential acceleration is given as
= rα
=4.65 x 0.745 = 3.46 m/s²
angle is given as


= 64.5 deg
Answer:
1.29 s
Explanation:
Given:
Δy = 1.40 m
v₀ = 0 m/s
a = 1.67 m/s²
Find: t
Δy = v₀ t + ½ at²
(1.40 m) = (0 m/s) t + ½ (1.67 m/s²) t²
t = 1.29 s
Alright, so solving for the net force is a rather simple and easy step. I want to briefly explain how you determine the net force, but before I do, let's examine the problem together. What has been provided to us? What direction is it going? Well, we can look at the information!
Amanda's Force: 5 N
Jeremiah's Force: 10 N
They're both pushing on the books, but in different directions. Left and right. If Amanda is pushing the books to the right 5 newtons, and Jeremiah is pushing the books to the left with 10 newtons, that means the net force is 5. The book is being pushed to the left! We can say that because Jeremiah's force is much larger than his sisters.
We can determine the net force from the following;
Net Force → 10 N - 5 N = 5 N
In conclusion, your answer should be a total of five (5) newtons
Answer:
4.096 kW
Explanation:
Applying,
P = Fvcos∅................. Equation 1
Where P = Power of the motor, F = Force exerted on the motor, v = Velocity, ∅ = angle.
From the question,
Given: F = 500 N, v = 10 m/s, ∅ = 35°
Substitute these values into equation 1
P = 500×10×cos35°
P = 4095.8 W
P = 4.096 kW
Hence the power rating of the moto in kW is 4.096 kW
To increase the acceleration due to gravity, we will place the new station in a shorter radius which is 1.2 RE.
<h3>What is acceleration due to gravity?</h3>
- This is free fall of an object under the influence of gravitational pull.
The acceleration due to gravity of the new station due to Earth's gravity is calculated as follows;

where;
- g is the acceleration due to gravity
- G is gravitational constant
- M is the mass of the earth
- R is the radius of the earth
To increase the acceleration due to gravity, the radius of the earth must be decreased. Thus, we will place the new station in a shorter radius which is 1.2 RE.
Learn more about acceleration due to gravity here: brainly.com/question/88039