Answer:
Explanation:
a )
Energy stored by left spring when compressed = 1/2 k x²
= .5 x 10 x .02² = .002 J .
Let compression in right spring = y
energy stored to right spring = 1/2 k y²
1/2 k y² = 0.002
.5 x 20 x y² = 0.002
y = .01414 m
= 1.4 cm
<span>First lets determine the equation. Well at the top of the circle both the normal force and the weight are in the same direction. So we have Fnet=N+mg. Since this is a circular path the Fnet is also = to (mv^2)/r.
We convert the situation where the rock is no longer in contact with the bottom to terms relevant to the equation. So, what is a requirement for normal force? The object must be in contact with the surface, meaning it can't be in free fall. Realizing this means that the instant when the object does not touch the bucket is where the normal force = 0.
Now we have N+mg=(mv^2)/r where N=0 is the case we are interested in. This leaves 0+mg=(mv^2)/r
Solve for v:
v=(gr)^(1/2) or v=3.28m/s
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Answer:
Explanation:
<u>Net Force</u>
There are four forces acting on the sled:
Its weight W directed down
The normal force N directed up
The applied force F directed left
The friction force, opposite to the motion, directed right.
The forces are shown in the free-body diagram of the figure below.
The body is in equilibrium in the vertical direction, thus:
N = W = m.g
N = 80 Kg . 9.8
N = 784 Nw
In the horizontal direction, the sum of the force vectors is the net force:
Fn = F-Fr
It's assumed the left as positive.
The friction force is calculated as:
Fr =0.125*784 Nw
Fr = 98 Nw
According to Newton's second law, the net force is equal to the mass by the acceleration:
F-Fr=m.a
The acceleration can be calculated by solving for a:
Answer:
Positively charged particle trajectories always follow electric field lines because the electric force on a positively charged particle is in the same direction as the electric field.
Explanation:
For any positive charge the electric field emerges radially outwards and it goes radially inwards for the negative charges.
- From the theory of electric field lines we know that they never intersect each other, either they get merged when the sources are unlike or they repel when the sources are alike. In other words the electric field lines align in the same direction as that of the field.
- So, when a positive charge is released into the an electric field they follow the direction of the field lines because they too have their field lines emerging radially outwards and hence these lines align in the direction of the field.