The cart rolls down an incline. The launcher fires the ball in a direction perpendicular to...

The cart rolls down an incline. The launcher fires the ball in a direction perpendicular to the cart. Show that the ball lands back in the cart.

Expert Solution

genius_generous answered 1 year ago

A ball rolls down from the top of an incline with a height of 5 m...

A ball rolls down from the top of an incline with a height of 5 m high without slipping. The ball has a diameter of 0.2m. What are the ball’s translational speeds a) at the center of the ball, b) at the contact point on the ground, and c) at the top of the ball when it arrives at the bottom? What values of "c" do you expect for hollow/solid balls? Will the hollow ball be faster?

A ball rolls down along an incline without slipping. A block slides down from the same...

A ball rolls down along an incline without slipping. A block slides down from the same incline without friction. Assuming the two objects start from the same position, which of the following statement is correct?

3. A ball rolls up and then back down an incline.Take the x direction to be...

3. A ball rolls up and then back down an incline.Take the x direction to be upward along the incline, y to be perpendicular to the incline, and the origin to be at the bottom of the incline. (a) Is it possible for an object to have a negative acceleration and yet be speeding up? If so, give an example; if not, explain why not. (b) Is the ball’s velocity ever zero? If so, when?(c) Is the ball’s acceleration ever...

A projectile launcher sits atop a tall building. The launcher fires the projectile with an initial...

A projectile launcher sits atop a tall building. The launcher fires the projectile with an initial velocity of 7.0 m/s at an angle of 28° above horizontal. Using the point of launch as a reference point what is the magnitude of the position vector for the projectile 1.5 seconds after being launched?

In a scene from a television show, a van rolls down an incline and off a...

In a scene from a television show, a van rolls down an incline and off a vertical cliff, falling into a valley below. The van starts from rest and rolls down the incline, which makes an angle of 19.0° below the horizontal, with a constant acceleration of 3.06 m/s2. After rolling down the incline a distance of 55.0 m, it reaches the edge of the cliff, which is 40.0 m above ground level. (a) How much time (in s) does...

In lab you will roll a cart down a nearly frictionless incline set at a small...

In lab you will roll a cart down a nearly frictionless incline set at a small angle. The cart will start at rest and travel a distance of 30.0cm±0.2cm. After travelling, the flag will pass through the photogate in order to measure the speed, vf or v30 (the speed at the end of the 30.0cm trip). Size of flag: d(flag width)=1.50cm±0.10cm Time through photogate t(blocked) = 0.02095s±0.00010s You know the initial speed, final speed, and distance the cart travels (not...

8. A cart slides down an inclined plane with the angle of the incline θ starting...

8. A cart slides down an inclined plane with the angle of the incline θ starting from rest. At the moment the cart begins to move, a ball is launched from the cart perpendicularly to the incline. (a) Choosing an x-y-coordinate system with the x-axis along the incline and the origin at the initial location of the cart, derive the equation of the trajectory that the ball assumes from the perspective of this coordinate system. (b) Determine where the maximum...

In an online viral video, a truck rolls down an incline and off a vertical cliff,...

In an online viral video, a truck rolls down an incline and off a vertical cliff, falling into a valley below. The truck starts from rest and rolls down the incline, which makes an angle of 21.0° below the horizontal, with a constant acceleration of 3.37 m/s2. After rolling down the incline a distance of 30.0 m, it reaches the edge of the cliff, which is 35.0 m above ground level. How much time (in s) does it take the...

A) A solid disk rolls down an incline plane. The disk has a mass of 88...

A) A solid disk rolls down an incline plane. The disk has a mass of 88 grams, a radius of 0.15 meters, and starts at a height of 4 meters above the bottom of the ramp. What is the magnitude of the velocity of the disk at the bottom of the ramp, in m/s? B) A spring-loaded launcher has a spring constant of 230 N/m. The spring is compressed 4.5 cm. A 25 gram ball is launched exactly horizontally from...

A marble rolls down an incline, and when it’s halfway down it’s going at 1.12 m/s....

A marble rolls down an incline, and when it’s halfway down it’s going at 1.12 m/s. Find (a) its starting height and (b) its speed at the bottom.

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