Answer:
a = v²/r
Explanation:
The acceleration of a body moving in a circular path is known as the centripetal acceleration. This is the acceleration of a body that keeps the body within the circular path. It is written in terms of the linear velocity v and the radius of the circle of rotation as shown;
a = v²/r where
v is the linear velocity
r is the radius
a is the centripetal acceleration
Answer:
The object moves 0.0833 m downwards.
The object moves 8.33 cm downwards.
Explanation:
Weight of object = W = 6 × 9.8 = 58.8 N
Mass of liquid displaced = 3.45 kg
Meaning that buoyant force = Fb = 3.45 × 9.8 = 33.81 N
drag force on the object from the liquid is negligible.
Net force acting on the object = ma
Force balance on the object gives
Net force = W - Fb + D
W = 58.8 N
Fb = 33.81 N
D = 0
Net force = 58.8 - 33.81 = 24.99 N
ma = 24.99
6a = 24.99
a = (24.99/6) = 4.165 m/s²
Now, using one of the equations of motion
u = 0 m/s
a = 4.165 m/s²
y = ?
t = 0.200 s
y = ut + ½at²
y = 0 + (0.5 × 4.165 × 0.2²)
y = 0.0833 m
Since the Weight of the body is more than the buoyant force exerted by the liquid on the object, the object moves downwards.
Hope this Helps!!!
The potential energy is most often referred to as the "energy at rest" and is dependent on the elevation of an object. This can be calculated through the equation,
E = mgh
where E is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height. In this item, we are not given with the mass of the cart so we assume it to be m. The force is therefore,
E = m(9.8 m/s²)(0.5 m) = 4.9m
Hence, the potential energy is equal to 4.9m.
Answer:
5123.79 kg
Explaination:
I did 5,123,788 divided by 1000 and got 5123.788
Then I rounded to the nearest 10th place.
Hope this helps, have a great day!