Answer:
4. Downward and its value is constant
Explanation:
As this is a case of projectile motion, we use the reference frame where upward direction to be positive for 
, and in the same way to be negative in the downward direction. On another hand, we have that gravity is always acting this means that gravitational acceleration g is directed downward constantly over the dart not only during the upward but also during the downward part of the trajectory. And it is ruled by the following equations.
For the x-axis
For the y-axis
Where 
, is the initial velocity.
The horizontal component is 2.0 cos(30°) = 1.732 m/s²
The vertical component is 2.0 sin(30°) = 1 m/s²
Answer:
1.3823 rad/s
20.7345 m/s
28.66129935 m/s²
2006.29095 N radially outward
Explanation:
r = Radius = 15 m
m = Mass of person = 70 kg
g = Acceleration due to gravity = 9.81 m/s²
Angular velocity is given by
Angular velocity is 1.3823 rad/s
Linear velocity is given by
The linear velocity is 20.7345 m/s
Centripetal acceleration is given by
The centripetal acceleration is 28.66129935 m/s²
Acceleration in terms of g
Centripetal force is given by
The centripetal force is 2006.29095 N radially outward
The torque will be experienced when the centrifuge is speeding up of slowing down i.e., when it is accelerating and decelerating.
Answer:
The trucker should drive at a speed of 11 m/s m/s
Explanation:
mass of the small car, m₁ = 795 kg
initial velocity of the small car, u₁ = 35 m/s(due east)
Mass of the truck, m₂ = 3360 kg
Initial velocity of the truck, u₂ = ?
Final velocity, V = u₁ sin37 ( the line between the camera and the collision makes an angle 37° with respect to the north)
According to the law of momentum conservation:
For the x -component
m₁u₁ = (m₁ + m₂)Vsinθ
m₁u₁ = (m₁ + m₂)Vsin37
(795*35) = (795 + 3360)* Vsin37
27825 = 2500.54V
V = 27825/2500.54
V = 11.13 m/s
For the y - component
m₂u₂ = (m₁ + m₂)Vcos37
3360*u₂ = (795+3360)*11.13*cos37
3360*u₂ =36933.02
u₂ = 36933.02/3360
u₂ = 11 m/s
Answer:
COMPACTED MOLECULES
Explanation:
The molecules are compacted in a solid
