To resolve these forces we have to make use of the sines and cosines.
To resolve this force in 30 degree north of west, the answer will be
100*sin(30)
The answer will be 50N
Now to resolve the force acting 60 degree north of east
100* cos(60)
The answer will be 50N.
This also adds to the total force acting that is 50+50=100N. This is the way forces are resolved according to their specified angles.
Answer:
8.2 m/s upward
Explanation:
The motion of the ball is a free fall motion, so we can use the suvat equation:

where:
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time
Choosing upward as positive direction:

(acceleration of gravity)
t = 1.5 s
Solving for u, we find the initial velocity:

And the direction is upward.
Answer:
Charge of the sphere = 
Charge of the rod = 
Explanation:
Parameters given:
Initial charge of sphere = 8.11 nC = 
Initial charge of rod = -6.13 nC = 
In the process, the rod lost
. We have to find the charge of these electrons. Then, we subtract it from the rod's initial charge to get its final charge and add it to the sphere's initial charge to get its final charge.
Charge of
electrons = electronic charge * number of electrons
= 
= 
FINAL CHARGE OF ROD
Final charge of rod =
- (
)
= 
FINAL CHARGE OF SPHERE
Final charge of sphere =
+ (
)
= 