A box slides down a ramp, Resting on a table. When it reaches the bottom of the tamp, the box leaves the edge of the table, becoming a horizontal projectile. It lands a distance x from the table. A solid sphere, with the same coefficient of friction, Mass, and size, rolls down the same ramp. Will the sphere land a distance? Less than More than At the same distance B. Explain your reasoning in a coherent paragraph-length explanation.
Q: In outer space two identical space modules are joined together by a massless cable. These modules…
A:
Q: A. An airplane requires a speed of 80 km/h to take off from a runway. The plane starts from the rest…
A: Given Data : required speed for takeoff = 80 Km/h = 22.22 m/s initial velocity u = 0 m/s…
Q: An adult is riding on a carousel and finds that he is feeling a bit nauseated. He then decides to…
A: initial linear speed = v final linear speed = v2.2angular velocity = 1 radsecradius = 4.6 m final…
Q: In outer space two space modules are joined together by a massless cable. These probes are rotating…
A: Given data The initial tangential speed is vo=11.6 m/s The distance factor reduces by f=5 The…
Q: A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 m and a total mass…
A:
Q: You have a grindstone (a disk) that is 198.641 kg, has a 0.699-m radius, and is turning at 97.425…
A: Givenmass of the grinstone M=198.641 kgradius of the grindstone R=0.699 minitial angular speed…
Q: A uniform disk of mass 7 kg and radius 0.2 m is free to rotated about an axis perpendicular to its…
A: Given: The mass of the uniform disk is 7 kg. The radius of the uniform disk is 0.2 m. The magnitude…
Q: In a popular amusement park ride, a rotating cylinder of radius R = 2.10 m is set in rotation at an…
A: Given information: The radius of the rotating cylinder, R=2.10 m The angular speed of the rotating…
Q: Sara is designing a new ramp for launching ping-pong balls. The ping-pong ball rolls without…
A:
Q: A light, rigid rod is 68.5 cm long. Its top end is pivoted on a frictionless horizontal axle. The…
A: If the ball is at the top of the circle, its velocity is zero and the kinetic energy is changed into…
Q: A fairground ride (The Gravitron) spins its occupants inside a cylinder-shaped container. A child on…
A: Given data Mass of the child, m=50 kg Radius of the circular path, r=8 m
Q: The grand jeté is a classic ballet maneuver in which a dancer executes a horizontal leap while…
A:
Q: The grand jeté is a classic ballet maneuver in which a dancer executes a horizontal leap while…
A:
Q: Problem 3: A 350 kg roller coaster car starts from rest at point A and slides down a frictionless…
A: Law of conservation of energy: According to this law, the total energy of a system remains…
Q: A common carnival ride, called a gravitron, is a large cylinder in which people stand against the…
A: Given, Radius of cylinder (r)= 13m friction between the wall and their clothes is μs = 0.64…
Q: One method of pitching a softball is called the "windmill" delivery method, in which the pitcher's…
A:
Q: An 18-cm-long bicycle crank arm, with a pedal at one end, is attached to a 20-cm-diameter sprocket,…
A:
Q: The grand jeté is a classic ballet maneuver in which a dancer executes a horizontal leap while…
A: Let m be the mass of a point and r be the distance of that point from the axis. Then, moment of…
Q: A solid cylinder of mass 2kg and radius of 3 cm thrown down the lane with an initial speed of 5m/s.…
A: Given Mass m = 2 Kg Radius R = 3 cm = 0.03 m Initial velocity u = 5 m/s coefficient of kinetic…
Q: A particle of dust lands 41.4 mm from the center of a compact disc (CD) that is 120 mmin diameter.…
A:
Q: A common carnival ride, called a gravitron, is a large cylinder in which people stand against the…
A: Given Radius of the cylinder (r) = 15 m Friction μs = 0.54
Q: An air puck of mass m1 = 0.25 kg is tied to a string and allowed to revolve in a circle of radius R…
A:
Q: suppose the situation is changed such that the slope the rolling sphere encounters is frictionless.…
A: for box By box conservation energy 12mv2+0=0+mgHBHB=v22g------(1)
Q: A merry-go-round rotates around the vertical axis or rotation has no friction, its moment of inertia…
A:
Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…
A:
Q: A 0.200 kg meterstick is hinged at one end and connected to a wall. It is held horizontally (i.e.,…
A:
Q: A bowling ball encounters a 0.760-m vertical rise on the way back to the ball rack, as the drawing…
A: Given: The ball's rise vertically is 0.76 m. The initial speed of the ball at the bottom is 6.16…
Q: The grand jeté is a classic ballet maneuver in which a dancer executes a horizontal leap while…
A: To make a vertical leap with the goal of getting the head as possible above the ground, at the top…
Q: student is performing measurements with a hockey puck on a large merry- go-round. The merry-go-round…
A:
Q: Some power stations and vehicles use spinning disks to store energy (known as flywheel energy…
A: Given that:m=900 kgr=0.45 mα=-1.3 rad/s2θ=5.6×105 rad
Q: A bicycle is traveling north at 7.03 m/s. The mass of the wheel, 1.96 kg, is uniformly distributed…
A: Given : Velocity of bicycle, v = 7.03 m/s Mass of wheel, m = 1.96 kg radius of wheel, r = 21 cm
Q: A 700 g hollow ball (spherical shell) is rolling along a horizontal floor at 4 m/s for a distance of…
A: Consider the diagram for the position of the spherical shell, that is the hollow ball, on the…
Q: A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 270 kg - m and is…
A: Radius, r = 1.2 mInitial moment of inertia, I1 = 270 kg.m2Angular speed, ω1 = 8 rev/minMass of the…
Q: A carousel (counter-clockwise merry-go-round) starts from rest and accelerates at a constant angular…
A: Given angular acceleration = 0.02 rev/s2 iinitial angular speed = 0 radius of rotation for girl =…
Q: A space station consists of a large, lightweight ring of radius R = 60 m and two small heavy control…
A:
Q: A thin light wire is wrapped around the edge of a wheel as shown in the figure. The wheel rotates…
A:
Q: In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an…
A: Given: radius, r = 3 m angular velocity, w = 5 rad/s
Q: smaller greater it has a smaller density more of its mass is closer to the rotation axis less…
A: Moment of inertia: The moment of inertia of an object about an axis can be defined as the product of…
Q: A common carnival ride, called a gravitron, is a large cylinder in which people stand against the…
A:
Q: A common carnival ride, called a gravitron, is a large cylinder in which people stand against the…
A:
Q: A child is pushing a playground merry-go-round. The angle through which the merry-go-round has…
A: Here, it is given that, The angle through which the merry-go-round has turned varies with time…
A box slides down a ramp, Resting on a table. When it reaches the bottom of the tamp, the box leaves the edge of the table, becoming a horizontal projectile. It lands a distance x from the table. A solid sphere, with the same coefficient of friction, Mass, and size, rolls down the same ramp. Will the sphere land a distance?
Less than
More than
At the same distance
B. Explain your reasoning in a coherent paragraph-length explanation.
Step by step
Solved in 2 steps
- A uniform horizontal disk of radius 5.50 m turns without friction at w = 2.30 rev/s on a vertical axis through its center, as in the figure below. A feedback mechanism senses the angular speed of the disk, and a drive motor at A ensures that the angular speed remain constant while a m = 1.20 kg block on top of the disk slides outward in a radial slot. The block starts at the center of the disk at time t = 0 and moves outward with constant speed v = 1.25 cm/s relative to the disk until it reaches the edge at t = 465 s. The sliding block experiences no friction. Its motion is constrained to have constant radial speed by a brake at B, producing tension in a light string tied to the block. (a) Find the torque as a function of time that the drive motor must provide while the block is sliding. Hint: The torque is given by z = 2mrvw. t N-m (b) Find the value of this torque at t = 465 s, just before the sliding block finishes its motion. N-m (c) Find the power which the drive motor must…A 0.700 kg ball is on the end of a rope that is 1.50 m in length. The ball and rope are attached to a pole and the entire apparatus, including the pole, rotates about the pole's symmetry axis. The rope makes an angle of 70.0° with respect to the vertical as shown. What is the tangential speed of the ball?When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of a star's mass outward, in the form of a rapidly expanding spherical shell. As a simple model of the supernova process, assume that the star is a solid sphere of radius R that is initially rotating at 1.8 revolutions per day. After the star explodes, find the angular velocity, in revolutions per day, of the expanding supernova shell when its radius is 3.9R. Assume that all of the star's original mass is contained in the shell.
- A 8.10 kg uniform disk with a radius of 14.3 cm is wrapped with a massless string and is suspending a 4.47 kg mass. What is the tension in the string as the mass falls? What is the speed of the mass after it has fallen 3.56 m?A sphere with radius 0.245m has density ϝ that decreases with distance r from the center of the sphere according to =3.25x103kg/m^3-(9.50x103kg/m^4)r . Part A Calculate the total mass of the sphere. Part B Calculate the moment of inertia of the sphere for an axis along a diameter.A solid, uniform, spherical boulder (I= 2/5 MR2) starts from rest and rolls down a 50 m hill, as shown at the figure at the right. The top half of the hill is rough enough to cause the boulder to roll without slipping, but the lower half is covered with ice and there is no friction. What is the translational speed of the boulder when it reaches the bottom of the hill?
- A solid metal bar is at rest on a horizontal frictionless surface. It is free to rotate about a vertical axis at the left end. The figures show forces of different magnitudes that are exerted on the bar at different locations. In which case does the bar's angular speed about the axis increase at the fastest rate?Fnet = ma, Ffric,k = MkN, Ffric,s,max = μs N₁ v=rw, ac v2 = ²/² = rw², Fnet,c = mac rWater is drawn from a well with a bucket tied to the end of a rope whose other end wraps around a spherical pulley with radius R and mass Mpulley. Initially the bucket is high up and stationary. The mass of the bucket and water is m. Suddenly the person lets go of the crank, and the bucket of water falls down a distance d in time ∆t with an acceleration a. The rope has a tension T. Just before the bottom, the pulley is spinning with angular velocity ωf. Your answers need to be in terms of the given symbols. a. Draw the free-body diagram for the bucket. b. Draw the free body diagram for the sphere. Don’t forget the force at the center of the sphere due to the axle. c. Write an F = ma equation for the bucket of water. Show your axis and acceleration vector on the diagram. d. Write a torque equation for the spherical pulley. It needs to involve α and Mpulley. e. Write an energy conservation equation for the whole system.
- A student gives a steady push to a ball at the end of a massless, rigid rod for 1 s, causing the ball to rotate clockwise in a horizontal circle as shown. The rod’s pivot is frictionless. Sketch a graph of the ball’s angular velocity as a function of time for the first 3 s of the ball’s motion. You won’t be able to include numbers on the vertical axis, but your graph should have the correct sign and the correct shape.Shohei Ohtani pitches a fastball with a horizontal velocity of 40 m/s. The horizontal distance from the point of release to home plate is 17.50 m. Justin Turner, the Red Samurai, decides to swing the bat 0.30 s after the ball has been released by Ohtani. The average angular velocity of the bat is 12 rad/s. The angular displacement of the bat from the Red Samurai’s shoulder to hitting positions above the plate is between 1.5 and 1.8 rad. A) Will the bat be in a hitting position above the plate when the ball is above the plate? Assume the pitch is in the strike zone and that if Turner hits it, it’s a homerun because the Dodgers are better than the Angels. B) Assume that Turner does hit the ball. If the bat’s instantaneous velocity is 30 rad/s at the instant of contact, and the distance from the sweet spot of the bat to the axis of rotation is 1.25 m, what is the instantaneous linear velocity of the sweet spot at the instant of ball contact?Harry Potter decides to take Pottery 101 as an elective to satisfy his arts requirement at Hogwarts. He sets some clay (m = 3.66 kg) on the edge of a pottery wheel (r = 0.640 m), which is initially motionless. He then begins to rotate the wheel with a uniform acceleration, reaching a final angular speed of 3.100 rev/s in 3.40 s. a) What is the speed of the clay when the initial 3.40 s has passed? b) What is the centripetal acceleration of the clay initially and when the initial 3.40 s has passed? c) What is the magnitude of the constant tangential acceleration responsible for starting the clay in circular motion?