Explanation:
The object is moving along the parabola y = x² and is at the point (√2, 2). Because the object is changing directions, it has a centripetal acceleration towards the center of the circle of curvature.
First, we need to find the radius of curvature. This is given by the equation:
R = [1 + (y')²]^(³/₂) / |y"|
y' = 2x and y" = 2:
R = [1 + (2x)²]^(³/₂) / |2|
R = (1 + 4x²)^(³/₂) / 2
At x = √2:
R = (1 + 4(√2)²)^(³/₂) / 2
R = (9)^(³/₂) / 2
R = 27 / 2
R = 13.5
So the centripetal force is:
F = m v² / r
F = m (5)² / 13.5
F = 1.85 m
Answer:
-0.5 m/s2 as it comes to rest.
Explanation:
Answer:
It's too long questions..
Answer:
39.2m/s
Explanation:
Given parameters:
Mass of book = 5kg
Time taken for fall = 4s
Unknown:
Final velocity of the book = ?
Solution:
Serena dropped the book from rest therefore, the initial velocity of the book is 0.
Let us find the appropriate motion equation to solve this problem;
V = U + gt
V is the final velocity
U is the initial velocity
g is the acceleration due to gravity = 9.8m/s²
t is the time taken
Insert the given parameters and solve;
V = 0 + 9.8 x 4 = 39.2m/s
