A small bouncy ball is dropped from the flat roof of an abandoned, and as-yet unrepurposed...

A small bouncy ball is dropped from the flat roof of an abandoned, and as-yet unrepurposed industrial building. The ball is observed to take 1/8 of a second to fall across a broken window with the total height of 1.2m. After the ball hits the ground, it bounces back upward and again traverses the window’s height in 1/8s of a second on its way toward the top of the roof. We thus assume that the ball loses no energy upon impact with the ground. If the time that the ball spends below the bottom of the window is 2s, answer the following questions.

a) What is the velocity of the ball at the top and bottom of the window, respectively, when the ball is on its way down?

(b) What is the time it takes the ball to fall from the top of the building to the top of the window?

(c) What is the height of the building?

Expert Solution

Here we apply concept of kinematics and equation of motion for constant acceleration.

genius_generous answered 2 months ago

A 0.05kg bouncy ball is dropped from height 9m and loses 20% of its energy upon...

A 0.05kg bouncy ball is dropped from height 9m and loses 20% of its energy upon impact each time it bounces. Assume that there is no air resistance. a) What is the kinetic energy of the ball before the impact? b) What is the kinetic energy of the ball after the first bounce? c) What is the kinetic energy of the ball after the second bounce? d) How high does the ball bounces after the second impact? e) How many...

A steel ball is dropped from a building's roof and passes a window, taking 0.131 s...

A steel ball is dropped from a building's roof and passes a window, taking 0.131 s to fall from the top to the bottom of the window, a distance of 1.12 m. It then falls to a sidewalk and bounces back past the window, moving from bottom to top in 0.131 s. Assume that the upward flight is an exact reverse of the fall. The time spent below the bottom of the window is 1.94 s. How tall is the...

Children playing in a playground on the flat roof of a city school lose their ball...

Children playing in a playground on the flat roof of a city school lose their ball to the parking lot below. One of the teachers kicks the ball back up to the children as shown in the figure below. The playground is 5.50 m above the parking lot, and the school building's vertical wall is h = 6.90 m high, forming a 1.40 m high railing around the playground. The ball is launched at an angle of θ = 53.0°...

A paddle ball toy consists of a flat wooden paddle and a small rubber ball that...

A paddle ball toy consists of a flat wooden paddle and a small rubber ball that are attached to each other by an elastic band (figure). You have a paddle ball toy for which the mass of the ball is 0.014 kg, the stiffness of the elastic band is 0.890 N/m, and the relaxed length of the elastic band is 0.325 m. You are holding the paddle so the ball hangs suspended under it, when your cat comes along and...

A stone is dropped from the roof of a building, 1.10s after that a second stone...

A stone is dropped from the roof of a building, 1.10s after that a second stone is thrown straight down with an initial speed of 20.0 m/s & the two stones land at the same time How high is the building h=???m

A flat cushion of mass m is released from rest at the corner of the roof...

A flat cushion of mass m is released from rest at the corner of the roof of a building, at height h. A wind blowing along the side of the building exerts a constant horizontal force of magnitude F on the cushion as it drops as shown in the figure below. The air exerts no vertical force. (A) Show that the path of the cushion is a straight line. (Submit a file with a maximum size of 1 MB.) (B)...

A ball is dropped from a building of height 100m. At the same time, another ball...

A ball is dropped from a building of height 100m. At the same time, another ball is then thrown vertically up from the ground with a velocity V0. They meet each other at the middle. What is the speed V0 of the ball thrown vertically up? a) 44.3m/s b)9.8m/s c) 31.3m/s d)19.6 m/s e) 98.0m/s

A ball is thrown upwards from the roof of a house that is 20m tall. The...

A ball is thrown upwards from the roof of a house that is 20m tall. The initial velocity V0 is 10m/s, and the acceleration due to gravity g is 10m/s2. Find: a) The maximum height that the ball reaches in the air. b) The total time of flight. c) The hitting velocity (the velocity right before the ball hits the ground). d) Its velocity at t=2s.

1) A ball is thrown from the top of a roof at an angle of 20...

1) A ball is thrown from the top of a roof at an angle of 20 o with respect to the vertical. 1 s later a ball is dropped from the top of the roof a) If the height of the roof is 20 m, determine the velocity with which the first ball must be thrown in order for both balls to land at exactly the same time. b) Imagine the velocity of the first ball is now known, and...

A ball is thrown straight up from the edge of the roof of a building. A...

A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.20 s later. You may ignore air resistance. A) If the height of the building is 20.7 m , what must the initial speed be of the first ball if both are to hit the ground at the same time? B) Consider the same situation, but now let the initial speed v0 of the...

Question