Answer:
a) No, Two vectors with different magnitudes can never add up to zero.
b) Yes, Three or more vectors with different magnitudes can add up to zero.
Explanation:
a) No, Two vectors with different magnitudes can never add up to zero.
Given vector A and B
A = (x1,y1,z1) and B = (x2,y2,z2)
For A + B = 0
This conditions must be satisfied.
x1 + x2 = 0
y1 + y2 = 0
z1 + z2 = 0
Therefore, for those conditions to be meet the magnitude of A must be equal to that of B.
b) Yes, Three or more vectors with different magnitudes can add up to zero.
For example, three forces acting at equilibrium like supporting the weight of a person with two different ropes.
W = T1 + T2
Where;
W = Weight
T1 = tension of wire 1
T2 = tension of wire 2
For the position of button we can use force balance as
Friction Force = Centripetal force
so here we will have
here we know that
R = radius of circle where button is placed
f = 35 rev/min
now from above equation
so friction coefficient will be 0.33
m = mass of pellet = 2.10 x 10⁻² kg
x = compression of spring at the time launch = 9.10 x 10⁻² m
h = height gained by the pellet above the initial position = 6.10 m
k = spring constant
using conservation of energy
spring potential energy = gravitational potential energy of pellet
(0.5) k x² = m g h
inserting the values
(0.5) k (9.10 x 10⁻²)² = (2.10 x 10⁻²) (9.8) (6.10)
k = 303.2 N/m
Answer:
5.4 × 10⁸ W/m²
Explanation:
Given that:
The Power (P) of Betelgeuse is estimated to release 3.846 × 10³¹ W
the mass of the exoplanet = 5.972 × 10²⁴ kg
radius of the earth = 1.27 × 10⁷ m
half the distance (i.e radius r ) = 7.5 × 10¹⁰ m
a) What is the intensity of Betelgeuse at the "earth’s" surface?
The Intensity of Betelgeuse can be determined by using the formula:
I = 544097698.8 W/m²
I = 5.4 × 10⁸ W/m²
Answer:
0.6 m/s
Explanation:
1.8 km = 1800 m
5 minutes= 300 s
Now,
Velocity = Displacement / time
= 1800/300
= 0.6 m /s
