Answer:
1.26 s
Explanation:
Draw a free body diagram. There are three forces: weight force mg pulling down, vertical tension component Tᵧ pulling up, and horizontal tension component Tₓ pulling radially.
Sum of forces in the vertical direction:
∑F = ma
Tᵧ − mg = 0
Tᵧ = mg
Sum of forces in the centripetal direction:
∑F = ma
Tₓ = m v² / r
Tension force must be in the same direction as the string, so:
Tₓ / Tᵧ = 75 / 40
40 Tₓ = 75 Tᵧ
40 m v² / r = 75 mg
8 v² / r = 15 g
v = √(15gr / 8)
Plugging in values:
v = √(15 × 10 m/s² × 0.75 m / 8)
v = 3.75 m/s
The circumference of the path is:
C = 2πr
C = 2π (0.75 m)
C = 4.71 m
So the period is:
t = C / v
t = 4.71 m / 3.75 m/s
t = 1.26 s
Round as needed.
None I believe... talc is a 1 on the Mohs Hard Scale and is the main ingredient in baby powder
Answer:
Objects with greater mass have a stronger force of gravity between them. Objects that are closer together have a stronger force of gravity between them.
Explanation:
Newton's law states that the strength of gravity between any two objects depends on two factors: the masses of the objects and the distance between them.
Answer:
The given statement concerning distance and displacement is true.
Explanation:
If any point travels along any path between two points A and B the distance it travels is the length of the actual path it travels.
Mathematically the distance between two points is the algebraic sum of the infinitesimal distances that the particle travels.
Mathematically
Displacement by definition is the shortest distance between the initial and final positions of the particle and is given by the straight line joining the two points.
Since a line is the shortest path that exists between 2 points thus it will be always smaller than any other path connecting the 2 points hence will be smaller than the distance.
While as if the object travels along a straight line without changing it's direction the distance in that case equals the displacement.