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
Similar elements with similar properties were in the same groups and periods for instance lithium(Li) and sodium(Na) are alkaline metals and so belong to the same group (that is group 1).Also Hydrogen(H) and Helium(He) both have only one shell or energy level and so belong to the same period.
Momentum would be the same before and after the collision
Before the collision:
Momentum of the single cart: 1 * 0.50 = 0.50
After the collision
velocity = 0.25m / s
1 * 0.25 + 1 * 0.25 =
0.25 * (1 + 1) =
0.25 * 2 =
0.50
Now new momentum will be 0.5
answer
the same before and after the collision
