Answer:
Explanation:
Coordinate system is one that describe the location of an object in a given plane. It implies the use of axes (coordinates) and points.
Given that the man in the question walks 400 m due north of east. The cardinal points can be used in this case, with the north and east cardinals as the required axis.
scale = 
= 
= 
scale = 1:40
This is a reduced scale which implies that 1 cm on the drawing is equal to 40 m on the original length.
The man's direction is 
north of east.
The graphical drawing of the vector is herewith attached to this answer.
Answer:
The amplitude of the spring is 32.6 cm.
Explanation:
It is given that,
Mass of the block, m = 2 kg
Force constant of the spring, k = 300 N/m
At t = 0, the velocity of the block, v = -4 m/s
Displacement of the block, x = 0.2 mm = 0.0002 m
We need to find the amplitude of the spring. We know that the velocity in terms of amplitude and the angular velocity is given by :
So, 
A = 0.326 m
or
A = 32.6 cm
So, the amplitude of the spring is 32.6 cm. Hence, this is the required solution.
Answer:
M = I A definition of magnetic moment - current * area
A = π R^2 = π * (6.4E6)^2 = 1.3E14 m^2
I = 8E22 A-m^2 / 1.3E14 m^2 = 6.2E8 amperes
I = 620,000,000 amps
Answer:
The mechanical energy of the ball-Earth-floor system the instant the ball left the floor is 7 Joules.
Explanation:
It is given that,
Initial gravitational potential energy of the ball-Earth-floor system is 10 J.
The ball then bounces back up to a height where the gravitational potential energy is 7 J.
Let U is the mechanical energy of the ball-Earth-floor system the instant the ball left the floor. Due to the conservation of energy, the mechanical energy is equal to difference between initial gravitational potential energy and the after bouncing back up to a height.
Initial mechanical energy is 10 + 0 = 10 J
Mechanical energy just before the collision is 0 + 10 = 10 J
Final mechanical energy, 7 + 0 = 7 J
Hence, the mechanical energy of the ball-Earth-floor system the instant the ball left the floor is 7 Joules.
