A sled with a mass of 25.0 kg rests on a horizontal sheet of essentially frictionless ice. It is attached by a 5.00 m rope to a post set in the ice. Once given a push, the sled revolves uniformly in a circle around the post. If the sled makes five complete revolutions every minute, find the force F exerted on it by the rope.
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A sled with a mass of 25.0 kg rests on a horizontal sheet of essentially
frictionless ice. It is attached by a 5.00 m rope to a post set in the ice.
Once given a push, the sled revolves uniformly in a circle around the
post. If the sled makes five complete revolutions every
minute, find the force F exerted on it by the rope.
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- A 1260 -kgkg car is pushing an out-of-gear 2200 -kgkg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push horizontally against the ground with a force of 4460 NN . The rolling friction of the car can be neglected, but the heavier truck has a rolling friction of 765 NN , including the "friction" of turning the truck's drivetrain. What is the magnitude of the force the car applies to the truck? What is the magnitude FConTFConT of the force that the car exerts on the truck? Use the coordinate system shown in Part B, where upward is the positive y direction and to the right, the direction F⃗ ConTF→ConT points, is the positive x direction. Express your answer in newtons to three significant figures.A small block with mass 0.0300 kg slides in a vertical circle of radius 0.550 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.75 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.685 N. Part A How much work was done on the block by friction during the motion of the block from point A to point B? Express your answer with the appropriate units. W friction = Submit μA Value Request Answer Units ?A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.4 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 135 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.
- A small block with mass 0.0425 kg slides in a vertical circle of radius 0.450 m on the inside of a circular track During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3 85 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0575 N Part A How much work was done on the block by friction during the motion of the block from point A to point B Express your answer with the appropriate units. Writion 0.15 Submit → J Previous Answers Request Answer X Incorrect; Try Again: 2 attempts remaining Check your signs ?A girl swings a 0.190 kg rock attached to a taut string in a circle around her head; her hand holds the end of the string above her head, and the string angles down slightly. The string is massless and 0.680 m long. A coordinate system lies with its origin at the location where the string comes out of the girl's hand. The positive z-axis points vertically upwards, the positive y- axis points horizontally towards the right, and the positive x-axis points out of the screen. At a certain instant, the rock makes 3.25 revolutions per second (rev/s) in a counterclockwise direction, as seen from above. The string is inclined at an angle of 0 = 12.4° below the xy-plane, and the projection of the string onto the xy- plane makes an angle o = 36.8° with the positive x-axis. What is the tangential velocity vector v in meters per second (m/s) at this instant? Report your answer using ijk unit vector notation. i = v, i + vyj+ vz k m/sThe two masses shown in the figure are in equilibrium and the inclined plane is frictionless. m₂ m₁ 0 i If 0 = 32.0° and m₂ = 3.61 kg, determine the mass of m₁. 18.75 X kg Question 4.2c: The three masses shown in the figure are in equilibrium and the inclined plane is frictionless. If 0 = 38.4°, m₂ = 2.00 kg, and m3 = 4.86 kg, determine the mass m₁ and the magnitude of the tension 7 in the string connecting m₂ and m3. m₂ m₂ m₂ i mass m₁ = 5.02 e X kg
- A cyclist competes in a one-lap race around a flat, circular course of radius 140 m. Starting from rest and speeding up at a constant rate throughout the race, the cyclist covers the entire course in 60 s. The mass of the bicycle (including the rider) is 76 kg. Find Ff,net, the magnitude of the net force acting on the cyclist at the finish line. What is the magnitude of the net force Fnet acting on the bicycle as it crosses the finish line?A block is placed on a turntable 43 cm from the axis of rotation. The turntable very slowly speeds up to 35.5 RPM. What is the minimum coefficient of static friction between the block and the turntable surface that would prevent the block from sliding away under these conditions?The Special Olympics raises money through "plane pull" events in which teams of 25 people compete to see who can pull a 74,000 kg airplane 3.7 m across the tarmac. The inertia of the plane is an issue--but so is the 14,000 N rolling friction force that works against the teams.If a team pulls with a constant force and moves the plane 3.7 m in 6.1 s (an excellent time), what fraction of the team's work goes to thermal energy?
- A 1260 -kgkg car is pushing an out-of-gear 2200 -kgkg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push horizontally against the ground with a force of 4460 NN . The rolling friction of the car can be neglected, but the heavier truck has a rolling friction of 765 NN , including the "friction" of turning the truck's drivetrain. What is the magnitude of the force the car applies to the truck? What is the magnitude FConTFConT of the force that the car exerts on the truck? Use the coordinate system shown in Part B, where upward is the positive y direction and to the right, the direction F⃗ ConTF→ConT points, is the positive x direction. Express your answer in newtons to three significant figures.A roller coaster has a vertical loop of radius 25.0 m. If the roller coaster operates at a constant speed of 30.0 m/s while in the loop, what normal force does the seat provide for a 60 kg passenger at the bottom of the loop? O 2775 N 2748 N O 588 N O 1305 N ) 1572 N O 2160 NMasses m₂, m₂, m3 and om are connected together as shown in the figure below. All the surfaces are smooth. If m₁ = 3.2kg, m₂ = 2.8kg, m3 = 3.8kg, om = 1.3kg and = 55°, calculate a) the acceleration of the system. b) the normal force between m3 and ōm. 7²1 7122 In+one 183