Answer:
Q = 6.33μC
Explanation:
To find the value of the charge Q you take into account both gravitational force and electric force over each ball. By symmetry you can use the fact that both balls experiences the same forces. Hence you only take into account the forces for one ball for the x component and y component:

M: mass of the ball = 0.09kg
T: tension of the string
F_e: electric force between charges
angle = 45°
The electric force is given by:

Q: charge of the balls
r: distance between balls = 2m
You divide both equation in order to eliminate the tension T:

By doing Q the subject of the formula and replacing you obtain:

hence, the charge of the balls is 6.33μC
Answer:
10 dumbbells
Explanation:
First we need to calculate the gravity on the moon.
0.166 x 9.8 m/s² = 1.627 m/s² (the gravity is 0.166 times the Earth's gravity)
Taking this acceleration due to gravity, and multiplying it by the mass of a single dumbbell.
F = m x a
F = (225 kg) x (1.627 m/s²)
F = 366.075 N (the amount of force exerted by the dumbbell)
Taking the weightlifter's total upward force and dividing it by the force exerted by one dumbbell, we can calculate the amount of dumbbells that can be carried.
(3750 N) / (366.075 N)
= 10.24 dumbbells (but since there cannot be a fraction of a dumbbell, the answer is <u>10 dumbbells</u>).
Answer:
25 m/s
Explanation:
First of all, we can find the acceleration the object by using Newton's second law of motion:

where
F = 20.0 N is the net force applied on the object
m = 4.0 kg is the mass of the object
a is its acceleration
Solving for a, we find

Now we know that the motion of the object is a uniformly accelerated motion, so we can find its final velocity by using the following suvat equation:

where
v is the final velocity
u = 0 is the initial velocity
is the acceleration
t = 5 s is the time
By substituting,
