The longer you continue to listen, the more beats will be heard.
They'll occur at the rate of (260Hz - 254Hz) = 6 Hz .
Answer:
Explanation:
Let the velocity after first collision be v₁ and v₂ of car A and B . car A will bounce back .
velocity of approach = 1.5 - 0 = 1.5
velocity of separation = v₁ + v₂
coefficient of restitution = velocity of separation / velocity of approach
.8 = v₁ + v₂ / 1.5
v₁ + v₂ = 1.2
applying law of conservation of momentum
m x 1.5 + 0 = mv₂ - mv₁
1.5 = v₂ - v₁
adding two equation
2 v ₂= 2.7
v₂ = 1.35 m /s
v₁ = - .15 m / s
During second collision , B will collide with stationary A . Same process will apply in this case also. Let velocity of B and A after collision be v₃ and v₄.
For second collision ,
coefficient of restitution = velocity of separation / velocity of approach
.5 = v₃ + v₄ / 1.35
v₃ + v₄ = .675
applying law of conservation of momentum
m x 1.35 + 0 = mv₄ - mv₃
1.35 = v₄ - v₃
adding two equation
2 v ₄= 2.025
v₄ = 1.0125 m /s
v₃ = - 0 .3375 m / s
Answer:
If jack is in the piece of furniture it would submerge.
Explanation:
The piece of furniture would submerge if the weight applied on the furniture is greater than the maximum buoancy force the water can provide.
maximum buoacy force = density of liquid × volume submerged× acceleration due to gravity.
= 
v = area × thickness of pine

= 0.075 
therefore buoancy force = 1025×0.075×9.8 N
= 753.375 N
weight of rose alone = 46×9.8 N = 450.8 N
weight of jack alone = 58×9.8 = 568.4 N
weight of pine = density of pine × volume of pine
= 350 × 0.075= 26.25 N
weight of pine + weight of rose = 450.8+26.25=477.05 N
weight of pine + rose + jack = 477.05 + 568.4 = 1045.45 N
therefore if jack is in the piece of furniture it would submerge.
Average speed = (distance covered) / (time to cover the distance)
Average speed = (4 meters) / (5 seconds)
Average speed = (4/5) (meters/seconds)
Average speed = 0.8 m/s