Answer:
is the compression in the spring
Explanation:
Given:
- mass of the bullet,

- mass of block,

- stiffness constant of the spring,

- initial velocity of the spring just before it hits the block,

<u>Now since the bullet-mass gets embed into the block, we apply the conservation of momentum as:</u>



Now this kinetic energy of the combined mass gets converted into potential energy of the spring.



is the compression in the spring
Answer:
461.88 N
Explanation:
= Weight of the swing = 800 N
= Tension force in the rope
= Horizontal force being applied by the partner
Using equilibrium of force in vertical direction using the force diagram, we get

Using equilibrium of force in horizontal direction using the force diagram, we get

Answer:
Ek1 = 900000 [J]
Ek1 = 400000 [J]
Explanation:
In order to solve this problem we must remember that kinetic energy is defined as the product of mass by velocity squared by a medium. Therefore using the following equation we have:

where:
m = mass = 500 [kg]
v1 = 60 [m/s]
So we have:
Ek1 = 0.5*500*(60^2)
Ek1 = 900000 [J]
and:
Ek2 = 0.5*500*(40^2)
Ek2 = 400000 [J]
Gravity pulls objects down to the earth
Answer:
-0.045 N, they will attract each other
Explanation:
The strength of the electrostatic force exerted on a charge is given by

where
q is the magnitude of the charge
E is the electric field magnitude
In this problem,

(negative because inward)
So the strength of the electrostatic force is

Moreover, the charge will be attracted towards the source of the electric field. In fact, the text says that the electric field points inward: this means that the source charge is negative, so the other charge (which is positive) is attracted towards it.