Answer:
A)A=0.075 m
B)v= 0.21 m/s
Explanation:
Given that
m = 0.75 kg
K= 13.5 N
The natural frequency of the block given as

The maximum speed v given as

A=Amplitude


A=0.075 m
A= 0.75 cm
The speed at distance x



v= 0.21 m/s
Well, since you only want direction, ignore the numbers. Use the right hand rule.
Current (pointer finger) points west (left).
Magnetic field (middle finger) points south (towards you).
Force (thumb) then points up (away from the earth)
Answer:
The magnitude = 10.30 m
The direction of the vector proceeds at angle of 119.05°
Explanation:
Given that:
A vector
has component
= -5 m and
= 9 m
The magnitude of vector
can be represented as:
= 
= 
= 
= 
= 10.30 m
If we make
an angle
with y- axis:
Then; tan
= 
tan
= 
tan
= 0.555
= tan⁻¹ (0.555)
= 29.05°
Angle with positive x-axis = 90 +
= 90° + 29.05°
= 119.05°