23) 560 cm
25) 3100 mg
27) 8.89 cm
29) 525 g
31) I can't see the measurement it needs to be converted to
Answer:
2.25 N upwards
Explanation:
Answer:
800 N/C to the right
Explanation:
The equation that relates force on a charge, electric field and charge is

where
F is the force acting on the charge
q is the charge
E is the electric field
In this problem, we have
is the electric field
is the charge
Substituting into the formula, we find the force

Concerning the direction:
- The electric field and the force have same directions if the charge is positive
- The electric field and the force have opposite directions if the charge is negative
Here the charge is negative, so the electric field has opposite direction to the force: therefore, it must be upwards.
Answer:
0.82 m/s
Explanation:
From the law of conservation of momentum,
Total momentum = Final momentum.
mu+m'u' = V(m+m')......................... equation 1
Where m = mass of Lillian, u = initial velocity of Lillian before she catches the dog, m' = mass of the dog, u' = initial velocity of the dog, V = velocity of Lillian and the dog.
make V the subject of the equation,
V = (mu+m'u')/(m+m')................ Equation 2
Given: m = 40 kg, m' = 15 kg, u = 0 m/s (Lillian was standing at rest), u' = 3.0 m/s.
Substitute into equation 2
V = (40×0+15×3)/(40+15)
V = (0+45)/55
V = 45/55
V = 0.82 m/s