You should first break up all the distances and directions into vectors and then add all horizontal vectors and verticle vectors.
He goes, 5 + 1 m east = 6m East
3 m north
displacement = root(6^2 + 3^2) = 6.708m
direction = arcTan(verticle/horizontal) = arcTan(3/6) = 26.565 degrees
Answer:
(2)


Explanation:
<u>a)Kinematics equation for the first ball:</u>


initial position is the building height
The ball reaches the ground, y=0, at t=t1:

(1)
Kinematics equation for the second ball:


initial position is the building height
the ball is dropped
The ball reaches the ground, y=0, at t=t2:

(2)
the second ball is dropped a time of 1.03s later than the first ball:
t2=t1-1.03 (3)
We solve the equations (1) (2) (3):






vo=8.9m/s

t2=t1-1.03 (3)
t2=3.29sg
(2)
b)
t1 must : t1>1.03 and t1>0
limit case: t1>1.03:





limit case: t1>0:




Answer:
Option D => it is moving from high potential to low potential and losing electric potential energy.
Explanation:
Consider a big circle, within the circle we have force, F. That force, F is known as the Electric Field and inside the region or field or space, charged particle or object will be able to exerts force on the other objects.
Electric Field can be represented mathematically by using the formula below; E = kQ/r^2.
So, let us answer the question with what we have considered above. It is worthy of note to know that electric Field moves from a region of higher potential to a region of lower potential. So, any option that says this is correct.
But, there is only one problem and that is the fact that the question asked us about the direction of the movement of proton. Since, proton is s a positive charge, it is going to lose electric potential energy. So, Option D is correct.
Answer:3.67 m/s
Explanation:
mass of block(m)=2 kg
Velocity of block=6 m/s
spring constant(k)=2 KN/m
Spring compression x=15 cm
Conserving Energy
energy lost by block =Gain in potential energy in spring

![2\left [ 6^2-v_2^2\right ]=2\times 10^3\times \left [ 0.15\right ]^2](https://tex.z-dn.net/?f=2%5Cleft%20%5B%206%5E2-v_2%5E2%5Cright%20%5D%3D2%5Ctimes%2010%5E3%5Ctimes%20%5Cleft%20%5B%200.15%5Cright%20%5D%5E2)

FALSE, density is dependent of the iron molecules inside the bar, not the length