Answer:
a)
b)
Explanation:
a)
Using the conservation of energy between the moment when the bullet hit the block and the maximum compression of the spring.
Where:
- M is the bullet-block mass (0.00535 kg + 2.174 kg = 2.17935 kg)
- V is the speed of the system
- k is the spring constant (6.17*10² N/m)
- Δx is the compression of the spring (0.0634 m)
Then, let's find the initial speed of the bullet-block system.
b)
Using the conservation of momentum we can find the velocity of the bullet.
I hope it helps you!
1. A vector is a unit vector if its magnitude is 1. Given
and are unit vectors, while is not, since
2. Given some vector , you can get the unit vector in the same direction as
If
then the unit vectors in the direction of and , respectively, are
3.
Answer:
3.7 m
Explanation:
We are given that
Mass of electron,m=
Magnetic filed,B=
Charge on electron,q=
We have to find the radius of circular path the electron follows.
We know that
Radius of circular path,r=
Using the formula
Hence, the radius of circular path followed by electron=3.7 m
To solve this problem it is necessary to apply the kinematic equations of movement description, specifically those that allow us to find speed and acceleration as a function of distance and not time.
Mathematically we have to
Where,
Final velocity and Initial velocity
a = Acceleration
x = Displacement
From the description given there is no final speed (since it reaches the maximum point) but there is a required initial speed that is contingent on traveling a certain distance under the effects of gravity
Therefore the speed which must a rock thrown straight up is 14*10^2m/s to reach the edge of our atmosphere.
The displacement and gravity traveled are the same, therefore the final speed will be the same but in the opposite vector direction (towards the earth), that is