Answer:
Change in velocity: 88 m/s
Average velocity: 50 m/s
initial velocity: 5.9 m/s
Final velocity: 94 m/s
Initial momentum: 3.6 kg m/s
Final momentum: 58 kg m/s
Explanation:
Acceleration = change in velocity / time
9.8 m/s² = Δv / 9.0 s
Δv = 88 m/s
Work = change in energy
Fd = ΔE
(6.0 N) d = 2700 J
d = 450 m
Average velocity = distance / time
v_avg = 450 m / 9.0 s
v_avg = 50 m/s
v − v₀ = 88 m/s
½ (v + v₀) = 50 m/s
Solving the system of equations:
v + v₀ = 100 m/s
2v = 188 m/s
v = 94 m/s
v₀ = 5.9 m/s
Use Newton's second law to find the mass:
F = ma
6.0 N = m (9.8 m/s²)
m = 0.61 kg
Find the momentums:
p₀ = (0.61 kg) (5.9 m/s) = 3.6 kg m/s
p = (0.61 kg) (94 m/s) = 58 kg m/s
Inertia is the property of all matter by which it tends to remain
in constant, uniform motion unless acted on by external force.
The electric field E of a charge is defined as E=F/Q where F is the Coulomb force and Q is the test charge.
E=(1/Q)*k*(q*Q)/r², where k=9*10^9 N*m²/C², q is the point charge, Q is the test charge and r is the distance between the charges.
So E=(k*q)/r²
When we input the numbers we get that electric field E of a point chage q is:
E=(9*10^9)*(5.4*10^-8)/0.2²=486/0.04=12150 N/C.
This is roughly E=12000 N/C =1.2*10^4 N/C
The correct answer is B.
To find the kinetic energy . You have to use this equation : 1/2m(v^2) .
The sin function and the cos function are used to resolve vectors into their componets