Determine the magnitude and direction of the friction force exerted by the incline plane on the block if the magnitude of the horizontal rightward force P is 58 pounds.
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- In the back of the truck is a 200kg box that has a coefficient of static friction of 0.8 and a coefficient of kinetic friction of 0.4 between the truck and the box. You are driving on the freeway at 25m/s. There is a car ahead of you that is driving at 30m/s. Your front bumper is 30m behind the back of the first car. You would like to pass the other car and pull back into the same lane when your back bumper is 10m ahead of the front bumper of the first car in 5 seconds. The length of the car ahead of you is 3m and the length of your car is 4m.a) What minimum acceleration do you need to do this?b) What distance does your car travel in that time?c) Does the box in your truck start to slide off the truck?A block of mass m = 1 kg is found on an inclined plane that makes an angle 30° with the horizontal. The coefficient of static friction and coef- ficient of kinetic friction between the block and the incline are: u, = 0.6 and uk = 0.5. Take the positive di- rection to be up the inclined plane 130° With the block initially at rest, the acceleration of the block isIn the figure, a 4.00 kg block is sent sliding up a plane inclined at 0 = 39.0° while a horizontal force of magnitude F = 45.0 N acts on it. The %3D coefficient of kinetic friction between block and plane is 0.30. What is the magnitude and direction (up or down the plane) of the block's acceleration?
- Calculate the magnitude of the normal force on a 25.2 kg block resting on a surface that is tilted up at a 40.8° angle with respect to the horizontal.A horse is harnessed to a sled having a mass of 211 kg, including supplies. The horse must exert a force exceeding 1200 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 1200 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 horse is exerting a force of 6.00 ✕ 102 N on the sled at the same angle. (Enter the magnitude.)A rope exerts a force of 50 N on a box to keep it stationary. If the box is on a plane inclined 25° from the horizontal and the coefficient of static friction is 0.29, calculate the normal force exerted on the box.
- A loaded penguin sled weighing 60.0 N rests on a plane inclined at angle 9-23.0° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.290, and the coefficient of kinetic friction is 0.170. (a) What is the minimum magnitude of the force, parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled moving up the plane? (c) What value of F is required to move the sled up the plane at constant velocity? (a) Number (b) Number (c) Number Units Units Units 0In the figure, block M2 is sitting on a table and is connected by mass-less chords to block M1 and to a vertical wall. The coefficient of static friction between M2 and the table is Us=0.60. Block M1 has a mass of 8 kg. The angle made by the chord and the wall is 55 degrees. What minimum mass must block M2 have in order to remain stationary and not slide?The figure below shows a block weighing 22 N in contact with a vertical wall. Two forces are applied to the block, in addition to gravity, a horizontal force F of magnitude 60 N which pushes the block against a vertical wall and a force P of magnitude 62 N which pushes upward on the bottom of the block parallel to the wall. The coefficient of static friction between the wall and the block is 0.55 and the coefficient of kinetic friction between them is 0.38. Is the frictional force acting on the block static or kinetic, what is its magnitude and in what direction does it point? F P