A uniform ball, of mass M=6.00kg and radius R rolls smoothly from rest down a ramp at angle equal to 30.0 .the ball descends a vertical height h=1.20m to reach the bottom of the ramp. What is its speed at the bottom

In the figure, a small block of mass m = 0.021 kg can slide along the frictionless loop-the-loop, with loop radius R = 13 cm. The block is released from rest at point P, at height h = 5R above the bottom of the loop. What are the magnitudes of (a) the horizontal component and (b) the vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released from rest so that it is on the verge of losing contact with the track at the top of the loop? (On the verge of losing contact means that the normal force on the block from the track has just then become zero). P h 2T R Y

A Purple Block about (mA = 24 kg) glides along a rail, it starts at point 1 with a height H1 = 5.40 m). (Entire rail is frictionless) and before entering a loop the (radius R = 1.80 m). Three more points 2, 3, and 4 are all marked on the sides as well as on the top of these loops. The purple block then comes out of the loop while travelling at a speed of 12 m/s. Has a t-bone collision with the blue block which is mB = 8 kg with a speed of 6 m/s before the collision happens. After the accident, purple block's speed is 5.30 m/s and is still moving in the same direction it was before the collision. (see picture)  A)What kind of collision is this? For the purple block: (parts a-b)a.) speed of block have at point 1?v1 = _____  m/sb.) At point 2, speed of the block: v2 = _____ m/sthe force acting on the block not to closely to the circle:______ N,  with the motion, against the motion, it is zero force acting on the block, radial to the circle:______ N,  toward the center of the loop, away…

A mass m = 77 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 19.9 m and finally a flat straight section at the same height as the center of the loop (19.9 m off the ground). Since the mass would not make it around the loop if released from the height of the top of the loop (do you know why?) it must be released above the top of the loop-the-loop height. (Assume the mass never leaves the smooth track at any point on its path.) ) What is the minimum speed the block must have at the top of the loop to make it around the loop-the-loop without leaving the track? m/s      What height above the ground must the mass begin to make it around the loop-the-loop? m      If the mass has just enough speed to make it around the loop without leaving the track, what will its speed be at the bottom of the loop? m/s      If the mass has just enough speed to make it around the loop without leaving the track, what is its speed at the…

A thin rod of length 0.632 m and mass 66.5 g is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed 1.35 rad/s. Neglecting friction and air resistance, find (a) the rod's kinetic energy at its lowest position and (b) how far above that position the center of mass rises.

A bowling ball, whose radius R is 11 cm and whose mass is 7.2 kg. rolls from rest down a plank whose length L is 2.1 m. the plank is inclined at an angle φ of 34 degrees to the horizontal. How fast is the ball moving when it reaches the bottom of the plank?   please can you show the answer in hand written form

A point mass m = 3 kg can move on a straight track from point A to point B. The points are on the parameter of a circular table of radius R = 8.8 m which is rotating around its center counterclockwise at constant angular velocity w = 3 rad/s. ŷR B R R At t = () the mass is at point A and begins to move at constant speed vo = 2 m/s to point B. Note that the speed remains constant during the process. What is the Coriolis force on the mass during its motion from point A to point B? a. 25.46*(Xr+Yr) O b. 50.91*(-Xr-Yr) O c. 36.00*(Xr-Yr) O d. 9.00*(-Xr+Yr) O e. 12.73*(Xr+Yr) Of. 36.00*(Xr+Yr) O g. 36.00*(-Xr+Yr) Oh. 25.46*(Xr-Yr)

One end of a cord is fixed and a small 0.400-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When θ = 23.0°, the speed of the object is 5.50 m/s. An object is swinging to the right and upward from the end of a cord attached to a horizontal surface. The cord makes an angle θ with the vertical. An arrow labeled vector v points in the direction of motion. (a) At this instant, find the magnitude of the tension in the string.Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N(b) At this instant, find the tangential and radial components of acceleration. at = Your response differs from the correct answer by more than 100%. m/s2 downward tangent to the circle ac = Your response differs from the correct answer by more…

Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.29 rad/s at t = 0 and subsequently experiences an angular acceleration a = 1.8t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.7 s. Assumer = 145 mm. α Answers: VA = aд = 90 (i ( i 0 6.806 i + i + i i 1 0.705 j) m/s j) m/s²

There are two wheels. Wheel one has a constant of Ω=2π/3 s^-1 and a radius of 0.3m. Wheel two has a constant a=π/2 s^-2, an initial Ω=-π/10 a d a radius of 0.2m. If these two wheels were to start at x=0, which one would travel 10m first?