A shoe and a shirt are released from the same height. They take different amounts of time to fall to the ground. How can this be
1 answer:
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1.39m/s
Explanation:
Given parameters:
Mass of car M₁ = 1000kg
Velocity V₁ = 2.5m/s
Mass of second car M₂ = 1800kg
Unknown:
Velocity of second car V₂ = ?
Solution:
For the other body to come to rest, the momentum of the colliding cars must be equal and in the opposite direction:
Momentum of car 1 - momentum of car 2 = 0
Momentum of car 1 = Momentum of car 2
M₁V₁ = M₂V₂
The unknown is V₂
1000x2.5 = 1800V₂
V₂ = = 1.39m/s
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Answer:
(a) 0.38 m
(b) 2.78 m/s
(c) 0.11 watt
Explanation:
mass, m = 0.3 kg
spring constant, K = 160 N/m
initial compression, d = 12 cm = 01.2 m
initial speed, u = 3 m/s
(a) Let the maximum stretch is y.
Use conservation of energy
Initial potential energy + initial kinetic energy = final potential energy
0.5 x K x d² + 0.5 x m x u² = 0.5 x K x y²
160 x 0.12 x 0.12 + 0.3 x 0.12 x 0.12 = 160 x y²
2.304 + 0.00432 = 160 y²
y = 0.38 m
y = 38 cm
(b) Let v is the maximum speed.
The speed is maximum when the stretch in the spring is zero, so by use of conservation of energy
Initial potential energy + initial kinetic energy = final kinetic energy
0.5 x K x d² + 0.5 x m x u² = 0.5 x m x v²
160 x 0.12 x 0.12 + 0.3 x 0.12 x 0.12 = 0.3 x v²
2.304 + 0.00432 = 0.3 v²
v = 2.78 m/s
(c) The time period of the spring mass system is given by
T = 0.272 second
Energy dissipated per cycle = 0.03 J
Power, P = 0.03 / 0.272 = 0.11 Watt