Answer:
When the mass increases or when distance between the bodies reduces
Explanation:
According to Newton's law of universal gravitation, the gravitational attraction between two bodies always increase if the mass increases and the distance between the bodies reduces.
The law of universal gravitation states that "the gravitational force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distances between them".
Mathematically;
Fg = 
G is the universal gravitation constant
m is the mass
r is the distance
relation between linear velocity and angular velocity is given as
here
v = linear speed
R = radius
= angular speed
now plug in all data in the equation
so rotating speed is 60.9 rad/s
Answer:
0.16 m
Explanation:
A rectangular gasoline tank can hold 50.0 kg of gasoline when full, and the density of gasoline is 6.8 × 10² kg/m³. We can find the volume occupied by the gasoline (volume of the tank).
50.0 kg × (1 m³/6.8 × 10² kg) = 0.074 m³
The volume of the rectangular tank is:
volume = width × length × depth
depth = volume / width × length
depth = 0.074 m³ / 0.500 m × 0.900 m
depth = 0.16 m
The answer would be
C. Rods and Cones
Answer:
Explanation:
mass of baseball, m = 0.145 kg
initial velocity, u = 12 m/s upward
(a) final velocity, v = u / 2 = 6 m/s
Let the height is h.
Use third equation of motion
v² = u² - 2gh
6 x 6 = 12 x 12 - 2 x 9.8 x h
36 - 144 = - 19.6 x h
h = 5.51 m
(b) initial kinetic energy, K = 0.5 x m x u² = 0.5 x 0.145 x 12 x 12 = 10.44 J
Final kinetic energy, K' = K/2
0.5 x m x v² = 10.44 /2
0.5 x 0.145 x v² = 5.22
v = 8.5 m/s
v² = u² - 2gh
8.5 x 8.5 = 12 x 12 - 2 x 9.8 x h
72.25 - 144 = - 19.6 x h
h = 3.66 m
