A very small ball is rolling down a vertical triangle. It rolls down 1,5m within the...

A very small ball is rolling down a vertical triangle. It rolls down 1,5m within the first second, how long will it roll on the 2nd second? We don't know if there's friction. Any ideas and tips? I'm new to this subject, so please answer thoroughly explaining each step of the solution.

Solutions

Expert Solution

Now when the ball rolls down 1.5m on the edge of the traingle, the acceleration acting on the ball is the projection of acceleration due to gravity along the edge of the triangle, that is acceleration acting on ball to move it 1.5 along the surface is acting downwards, where is the angle the surface is making with the base.

Now apply second law of motion

For first second, x is 1.5 m, u is 0 and t =1

After 2ndsecond the overall displacement will be

So the distance travelled in 2nd second will be 1.5 m. This is because the acceleration acting on it is constant.

Even if the friction is working all along, then the acceleration acting on the ball will be reduced to

(acting downwards along the surface)

Even this acceleration is contant because and both are constant. So the answer will remain same that is 1.5 m.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A solid cylinder initially rolling with a translational speed of 4.5m/s rolls down a vertical drop...

A solid cylinder initially rolling with a translational speed of 4.5m/s rolls down a vertical drop of 0.625m. The cylinder has a mas of 7.25 Kg and a diameter of 0.115m. Ignore frictional losses and assume the mass of the cylinder is distributed uniformly. find transnational speed at the bottom of the drop

A ball is rolled off a table and at the very instant the rolling ball leaves...

A ball is rolled off a table and at the very instant the rolling ball leaves the table a second ball from rest is dropped from the same height above the floor as the table. From the above why is the horizontal and vertical parts of the ball's motion independent of one another? Does the vertical part of the motion change when the horizontal part does? How does the vertical part of the motion of the ball rolling off the...

1. Ball rolling down an incline :Later you will be measuring the acceleration of the rolling...

1. Ball rolling down an incline :Later you will be measuring the acceleration of the rolling ball down the incline for several different incline angles, and we want to compare with the theoretical expected value. The best way to show this is to plot the acceleration on the vertical axis, and the value of sin(θ) on the horizontal axis, as shown on the plot below. Draw in the expected theoretical variation of the acceleration on this plot. 2. A 0.200...

A tennis ball rolls off a vertical cliff at a projection angle of zero degrees to...

A tennis ball rolls off a vertical cliff at a projection angle of zero degrees to the horizontal (no initial vertical motion upwards) with a horizontal velocity of 11.52 m/s. If the cliff is -25 m high, calculate the horizontal distance in metres out from the base of the cliff that the ball will land.

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 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 a hill from rest and collides with a block on wheels at...

A ball rolls down a hill from rest and collides with a block on wheels at the bottom. The block has a mass which is 4 times larger than the mass of the ball. Calculate the direction and velocity of the block and ball after the collision, if they were (a) elastic, or (b) perfectly inelastic. Please show the answers in terms of g and h. (c) how much of the kinetic energy is lost in the elastic collision of...

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.

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?

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...

Subjects