A solid spherical ball with a mass 1.51 kg and radius 0.40 m rolls without slipping down an incline that drops a distance 1.15 m over a horizontal distance of 5.2 m. Assuming the ball starts from rest at the top, use energy conservation to find its speed (in m/s) at the bottom of the incline.
Q: 40kg disk wiht a radius of 30 cm is spinning around a fixed vertical axis with an angular speed of…
A: According to the work-energy theorem, the work done is defined as the change in energy. The…
Q: A merry-go-round has a mass of 1460 kg and a radius of 7.60 m. How much net work is required to…
A:
Q: A metal can containing condensed mushroom soup has mass 220 g, height 10.0 cm and diameter 6.38 cm.…
A: We discover that energy is neither destroyed at any point, nor is it generated at any stage. It…
Q: A lawnmower engine brings a 1 m-long by 0.1 m-wide cutting blade of mass 2.55 kg from rest to an…
A: The length of the cutting blade: The width of the cutting blade: The mass of the cutting blade: The…
Q: A 240 N sphere of 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at an…
A: Given Weight of the sphere W = 240 N Radius of the sphere r = 0.20 m Length of the ramp L = 6.0 m…
Q: The puck in the figure below has a mass of 0.120 kg. The distance of the puck from the center of…
A:
Q: A solid sphere, a thin spherical shell, and a solid cylinder each have a radius of 3 cm and a mass…
A: We know that the potential energy is given by U=mgh here m=mas g=acceleration due to gravity…
Q: A 22.0 kg wheel, essentially a thin hoop with radius 1.70 m, is rotating at 297 rev/min. It must be…
A: The given data: m=22 kgr=1.70 mω=297 rev/min = 31.1018 rad/st=28.0 s It s required to determine…
Q: A thin rod of length 0.75 m and mass 0.40 kg is suspended freely from one end. It is pulled to one…
A:
Q: A 12 kg mass slides down an 18-degree incline with μk=0.26. The mass is connected by a massless…
A: Consider the free-body diagram of the mass-pulley-wheel system.
Q: How much energy is dissipated when a 2 kg grinding wheel of radius 0.1 m is brought to rest from an…
A: The kinetic energy of rotation is given by K = 0.5 I w2 where, I is the moment of inertia and w is…
Q: The pulley has radius 0.160 m and moment of inertia 0.380 kg⋅m2. The rope does not slip on the…
A:
Q: A solid ball of mass 0.2 kg and radius 1.5 cm starts from rest then rolls without slipping down a…
A: mass = 0.2 kg r = 1.5 cm angle = 33 degree v at bottom = 2.5 m/sLet mass = m
Q: A 30 g block sits at the center of a turntable that rotates at 65 rpm. A compressed spring shoots…
A:
Q: A bowling ball of mass 6.85 kg is rolling at 2.60 m/s along a level surface. (a) Calculate the…
A:
Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.14 kg and radius R = 0.19 m) and a…
A:
Q: A hoop has a mass of 315g and a radius of 2cm. It rolls, without sliding, along a level ground at…
A:
Q: , assuming that th
A: Given as, Length (L) = 1 m Acceleration due to gravity (g) = 9.8 m/s2
Q: A 52 kg hoop of radius 1.7 m, initially rotating at 208 revolutions per minute, is brought smoothly…
A: please see the next step for solution
Q: In the figure, a solid 0.3 kg ball rolls smoothly from rest (starting at height H = 6.4 m) until it…
A: Given: Mass of the solid sphere, m=0.3 kg Initial height, H=6.4 m Height at point A, h=2.4 m Find:…
Q: A light string 4.0 m long is wound around a cylindrical spool of mass 1.0 kg and radius 0.5 m. The…
A: Given:- A light string 4.0 m long is wound around a cylindrical spool of mass 1.0 kg and radius 0.5…
Q: A merry-go-round has a mass of 1480 kg and a radius of 7.00 m . How much net work is required to…
A:
Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a…
A: Given :Mass of hoop, mh=0.30 kgRadius of hoop, R=0.17 mMass of rod, mr=0.30 kgLength of the rod,…
Q: The puck in the figure below has a mass of 0.120 kg. The distance of the puck from the center of…
A: The objective of the question is to determine the work done on the puck. This can be done by…
Q: A bowling ball of mass 7.24 kg and radius 10.7 cm rolls without slipping down a lane at 2.80…
A:
Q: Malar is playing with a toy car track set and has made a vetical loop she wants to send a 150-gram…
A: Given of car =150 g Height of which she releases radius o loop =20 cm
Q: A 7.0 kg steel ball of radius 4.0 cm rolls without slipping from rest down a hill of height 3.0 m.…
A:
Q: A 3.7-kg sphere is suspended by a cord that passes over a 1,7-kg pulley of radius 3.4 cm. The cord…
A: A.)f=ma=f=kx add both masses=5.4kg f=5.4×9.81= 52.97N 52.97=86x therefore, x=.6159m…
Q: A flywheel is a disk that is 0.3 m in radius and has a mass of 15kg. Mechanical energy can be stored…
A:
Q: A flywheel is a disk that is 0.3 m in radius and has a mass of 15kg. Mechanical energy can be stored…
A: The objective of the question is to find the angular speed required to spin the flywheel in order to…
Q: car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.00 m and…
A:
Q: The puck in the figure below has a mass of 0.224 kg. Its original distance from the center of…
A:
Q: en has a moment of inertia of 0.040 kg m square and is rotating once every 4.0 sec. What is its…
A: Given:- Moment of inertia I = 0.040 kg m2 it rotates once every 4.0 sec. Find:- What is its…
Q: A 34.0 kg wheel, essentially a thin hoop with radius 1.60 m, is rotating at 111 rev/min. It must be…
A: The first step to solving this problem is to find the initial rotational kinetic energy of the…
Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.26 kg and radius R = 0.17 m) and a…
A:
Q: Question 8. A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk…
A:
Q: The puck in the figure below has a mass of 0.140 kg. Its original distance from the center of…
A: Given Mass (m) = 0.140 kg Initial radius (ri)…
Q: A hollow sphere is released from rest at the top of the ramp at the height of 0.21 m. The hollow…
A: Given Data: Ramp height, ht=0.21 m Hollow sphere initial velocity, u=0 Bottom height, hb=0.05 m…
A solid spherical ball with a mass 1.51 kg and radius 0.40 m rolls without slipping down an incline that drops a distance 1.15 m over a horizontal distance of 5.2 m. Assuming the ball starts from rest at the top, use energy conservation to find its speed (in m/s) at the bottom of the incline.
Step by step
Solved in 2 steps
- How much mechanical energy is there in a 90.0 kg footballer whose center of gravity is 90.0 cm high and whose speed is 9.00 m / s (ignores the rotational energy)?A hollow ball has a radius of 2.47cm and a mass of 7kg and is rolling, it is traveling with a translational speed of 8m/s. What is its kinetic energy?A stick with a mass of 0.164 kg and a length of 1.00 mis pivoted about one end so it can rotate without friction about a horizontal axis. The meter stick is held in a horizontal position and released. Part AAs it swings through the vertical, calculatethe change in gravitational potential energy that has occurred.Use 9.81 m/s2for the acceleration due to gravity. Part BAs it swings through the vertical, calculate the angular speed of the stick. Part CAs it swings through the vertical, calculate the linear speed of the end of the stick opposite the axis. Part DFind the ratio of the speed of a particle that has fallen a distance of 1.00 m, starting from rest, to the speed from part (C).
- A 3.4-kg sphere is suspended by a cord that passes over a 1.3-kg pulley of radius 3.6 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? m (b) Find the speed of the sphere after has fallen 25 cm. m/s Need Help? Read ItA solid sphere with mass m and radius r is rolling in a horizontal plane with vcm. It is attached to a light horizontal axle and the entire system is rotating about the vertical axis in a circular path with radius R, as shown. Find the kinetic energy of the sphere.A double radius pulley is attached to a wall by an axle of negligible friction and is initially at rest. Two vertical forces,both with magnitude F1P = F2P =19 N, are applied at the radii R1 =0.4 m and R2 =1 m as shown. Determine the kinetic energy of the pulley after it has undergone one full rotation.
- A hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if it rolls without slipping up the incline, what maximum height will it reach?A bowling ball of mass 7.26 kg and radius 10.3 cm rolls without slipping down a lane at 3.00 m/s. Calculate its total kinetic energy. Express your answer using three significant figures and include the appropriate units.A merry-go-round has a mass of 1450 kgkg and a radius of 7.50 mm . How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 8.10 ss ? Assume it is a solid cylinder.
- Problem 9: A solid ball with mass, M=2.5 kg and radius, R=0.2 meter is released from rest from the top of an incline of height, h=3.5 meter. Ignore any energy loss due to friction or air drag. Consider g=9.8 m/s2. (a) The linear speed of the ball at the bottom is ________ (b) The rotational kinetic energy of the ball at the bottom is _________A uniform solid cylinder is initially at rest at the top of a ramp of height 1.5 m. If the cylinder rolls down this ramp without slipping, what will be its speed at the bottom? Why don't you need to consider the work done by friction? Explain your reasoning in detail.A 34 kg hoop of radius 1.3 m, initially rotating at 301 revolutions per minute, is brought smoothly to a stop in 20 s. What is the average power (in Watts) associated with the force that brings the hoop to a stop?