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
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Answer:
Explanation:
Work done = ∫Fdx
= ∫(cx-3.00x²) dx
[ c x² / 2 - 3 x³ / 3 ]₀²
= change in kinetic energy
= 11-20
= - 9 J
[ c x² / 2 - x³ ]₀² = - 9
c x 2² / 2 - 2³ = -9
2c - 8 = -9
2c = -1
c = - 1/2
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