Part A -  A ball is thrown straight down with an initial speed of 2.4 m/s from a height of 75 m. What is the position of the ball after 2.6 s, in meters? Use g = 10 m/s2. Part B - Two big bugs, Buzz and Crunchy each of mass 0.60 kg, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 4.3 m and it spins with an angular speed of 90 degrees/second.

46. A 2.55 kg bucket of sand is attached to a 1.31 m long rope and is swung in a vertical circle. At the bottom of the circle the tension in the rope is 30.2 N. What is the speed of the bucket of sand at the bottom of the circle? A. 1.85 m/sB. 2.61 m/sC. 3.41 m/sD. 6.01 m/s Please choose one of these answers!!!!

Two spheres are launched horizontally from a 1.2 mm -high table. Sphere AA is launched with an initial speed of 4.5 m/sm/s . Sphere BB is launched with an initial speed of 2.5 m/sm/s . A. What is the time for the sphere AA to hit the floor? Express your answer using two significant figures.   B. What is the time for the sphere BB to hit the floor? Express your answer using two significant figures.

You built a pinball machine that has a banked circular track with radius 0.34 m. The ball shooter launches the ball directly into this circular track before the ball enters into the game. You fire pin balls at a constant speed into the track and adjust the banking angle until it works. The banking angle is 21 degrees. Assume your pin ball machine is on a horizontal plane, how fast is the ball launched into the track, in m/s? Hint: I have a video on this problem about swing pendulum but the results are very similar, except a string length was given instead of path radius and tension was present instead of normal force. Assume friction is negligible.

A basketball (a hollow sphere) starts at rest and rolls down a roof. It rolls 4m before leaving the 30 degree roof.   a) What is the speed of the ball when it leaves the rooftop?    b) If the roof ledge is 5m high, how far away does the ball land from the house? (assume v= 3m/s if you could not solve part a)

student throws a heavy red ball horizontally from a balcony of a tall building with aninitial speed v0. At the same time, a second student throws a lighter blue ball horizontally fromthe same balcony with an initial speed v0 /2. Ignoring air resistance, which of the followingstatements must be true?a. The red ball hits the ground with the greater speed.b. Both balls hit the ground with the same vertical velocity component.c. Both balls hit the ground with the same angle of impactd. The balls reach the ground at the same instant.     More than one of the statements can be true.

A light, rigid rod is 50.2 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle? m/s

. A 3.0kg cannon ball is shot from a cannon at a speed of 20m/s. The cannon is oriented50 degrees above the horizontal and the cannon’s barrel is 8.0m above the ground. Youwant to position a mat that will catch the cannon ball.a. Determine how much time the cannon ball will spend in flight.b. Draw a force diagram for three points during the cannon ball’s flight (1) while itis being shot from the cannon, (2) when it is at its maximum height, and (3) whenit is half-way between the maximum height and the mat.c. Determine the horizontal distance from the end of the barrel where you shouldplace the mat so that it will catch the ball.d. How fast is the cannon ball moving just before it hits the mat?

A roof worker loses his grip on his box of tools while working on a tall house. His box slides down the roof. The roof is angled at 29 degrees with the horizontal. The roof is made of a frictionless material. The box travels 5 m down the roof and then leaves the edge of it 12 m above the ground. a). Figure out the box's velocity as it leaves the house's roof? b). How far from the base of the house does the box hit the ground? c). By how much does the box clear the yard fence which is 1.8m tall and located 6.7m away from the base of the house? I TOOLS 5m 29° 12 m 1.8m 6-7m ENGL

m L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t