A car is traveling up a hill that is inclined at an angle θ above the horizontal. Determine the ratio of the magnitude of the normal force to the weight of the car when (a) θ = 18o and (b) θ = 36o.
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A car is traveling up a hill that is inclined at an angle θ above the horizontal. Determine the ratio of the magnitude of the normal force to the weight of the car when (a) θ = 18o and (b) θ = 36o.
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- A car is traveling up a hill that is inclined at an angle θ above the horizontal. Determine the ratio of the magnitude of the normal force to the weight of the car when (a) θ = 19o and (b) θ = 39o. (a) Ratio = Number =?units (b) Ratio = Number=?unitsA horse is harnessed to a sled having a mass of 211 kg, including supplies. The horse must exert a force exceeding 1180 N at an angle of 32.3⁰ (above the horizontal) in order to get the sled moving. Treat the sled as a point particle. (a) Calculate the normal force (in N) on the sled when the magnitude of the applied force is 1180 N. (Enter the magnitude.) XN (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force (in N) when the horse is exerting a force of 5.90 x 102 N on the sled at the same angle. (Enter the magnitude.). NA car (m= 1540 kg) is parked on a road that rises 18° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires? (a) Number i (b) Number i Units Units FN ✪
- There is a mass of 10 kg which is placed on an inclined plane making an angle of 30° with the horizontal. A force of 15 N is applied on the object along the incline in downward direction. Determine the value of net force acting on the block, (if coefficient of static friction is 4 = 0.8 and coefficient of kinetic friction is 14 =0.5), a b C d 3.9 N, upward along the incline 21.6 N, downward along the incline ΟΝ 98 NA student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 130.0 N at an angle of 16.0° above the horizontal. The box has a mass of 25.0 kg, and the coefficient of kinetic friction between box and floor is 0.300. (b) The student now starts moving the box up a 10.0° incline, keeping her 130.0 N force directed at 16.0° above the line of the incline. If the coefficient of friction is unchanged, what is the new acceleration of the box?A mule is harnessed to a sled having a mass of 201 kg, including supplies. The mule must exert a force exceeding 1270 N at an angle of 30.3° (above the horizontal) in order to get the sled moving. Treat the sled as a point as a particle. a) Calculate the normal force (in N) on the sled when the magnitude of the applied force is 1270 N. (Enter the magnitude.) N (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force (in N) when the mule is exerting a force of 6.35 ✕ 102 N on the sled at the same angle. (Enter the magnitude.) N
- A block of mass m = 13 kg rests on an inclined plane with a coefficient of static friction of μs = 0.085 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.15 m at its tallest point. Part (a) What angle, θ in degrees, does the plane make with respect to the horizontal? Part (b) What is the magnitude of the normal force, FN in newtons, that acts on the block? Part (c) What is the component of the force of gravity along the plane, Fgx in newtons? Part (d) Write an expression, in terms of θ, the mass m, the coefficient of static friction μs, and the gravitational constant g, for the magnitude of the force due to static friction, Fs, just before the block begins to slide. Part (e) Will the block slide?You are holding a book of mass 10.7 kg that is initially at rest against a vertical wall by exerting a force of magnitudeF Yb = 100.8 N at an angle of θ = 34.7 degrees, as indicated in the figure.If the coefficients of friction between the book and the wall are μs = 0.46 and μk = 0.36, find the magnitude of thefrictional force from the wall on the book.A person is doing leg lifts with 3.00-kg ankle weights. The lower leg itself has a mass of 5.00 kg. When the leg is held still at an angle of 30.0° with respect to the horizontal, the patellar tendon pulls on the tibia with a force of 362 N at an angle of 20.0° with respect to the lower leg. Assume the force exerted on the tibia by the femur is the only other significant force acting on the lower leg. a.)Find the magnitude of the force exerted on the tibia by the femur. b.)At what angle below the horizontal does the force exerted on the tibia by the femur act? Enter the angle in degrees where positive indicates right of the horizontal and negative indicates left of the horizontal.
- A mule is harnessed to a sled having a mass of 261 kg, including supplies. The mule must exert a force exceeding 1270 N at an angle of 38.3° (above the horizontal) in order to get the sled moving. Treat the sled as a point particle. (a) Calculate the normal force (in N) on the sled when the magnitude of the applied force is 1270 N. (Enter the magnitude.) (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force (in N) when the mule is exerting a force of 6.35 ✕ 102 N on the sled at the same angle. (Enter the magnitude.)A 260 N block is placed on a 3:4 [V: H] inclined plane. A 95 N force parallel to the incline acts up on the block. The coefficients of static and kinetic friction between the block and the plane are 0.25 & 0.2 respectively. Compute the value of the frictional force [F].A mule is harnessed to a sled having a mass of 226 kg, including supplies. The mule must exert a force exceeding 1230 N at an angle of 34.30 (above the horizontal) in order to get the sled moving. Treat the sled as a point particle. HINT (a) Calculate the normal force (in N) on the sled when the magnitude of the applied force is 1230 N. (Enter the magnitude.) N (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force (in N) when the mule is exerting a force of 6.15 x 10² N on the sled at the same angle. (Enter the magnitude.) N