Consider the figure shown in the following figure. You are lowering two boxes, one on top of the other, down a ramp by pulling on a rope parallel to the surface of the ramp. Both blocks move with constant velocity. The coefficient of kinetic friction between the ramp and the 18.0 kg lower box is 0.452 and the coefficient of static friction between the two boxes is 0.770. 27.0 kg A. Draw the Free-Body diagram of both blocks. Set the x-axis parallel to the ramp. 3.50 5.75
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- Consider the figure shown in the following figure. You are loweringtwo boxes, one on top of the other, down a ramp by pulling on a ropeparallel to the surface of the ramp. Both blocks move with constantvelocity of 10.0 [m/s]. The coefficient of kinetic friction between theramp and the lower box is 0.555 and the coefficient of static frictionbetween the two boxes is 0.750. A. Draw the Free-Body diagram of both blocks. Set the ?-axis parallel to the ramp. B. Write Newton’s 2nd law along the ? and ? directions for both blocks considering their state ofmotion (accelerations). C. What are the magnitude and direction of the frictional force on the upper box? D. What is the magnitude of the applied force? E. Determine the angle at which the top block will start to slide down the bottom block.A 12.1 kgkg box sits on a horizontal table. A string with tension 30.6 NN pulls on the box to the right, but static friction between the box and the table prevents the box from moving. The coefficient of static friction between the box and the table is 0.43. What is the magnitude of the static friction force on the box?An 8.00 kg box sits on a ramp that is inclined at 33.0 above the horizontal. The coefficient of kinetic friction between the box and the surface of the ramp is mk = 0.300. A constant horizontal force F = 26.0 N is applied to the box, and the box moves down the ramp. If the box is initially at rest, what is its speed 2.00 s after the force is applied?
- Consider the figure shown in the following figure. You are loweringtwo boxes, one on top of the other, down a ramp by pulling on a ropeparallel to the surface of the ramp. Both blocks move with constantvelocity of 10.0 [m/s]. The coefficient of kinetic friction between theramp and the lower box is 0.555 and the coefficient of static frictionbetween the two boxes is 0.750. A. Draw the Free-Body diagram of both blocks. Set the ?-axis parallel to the ramp. B. Write Newton’s 2nd law along the ? and ? directions for both blocks considering their state of motion (accelerations). C. What are the magnitude and direction of the frictional force on the upper box? D. What is the magnitude of the applied force? E. Determine the angle at which the top block will start to slide down the bottom block.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 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are us 0.40 and uk = 0.30, respectively. The puck's initial speed is 4.9 m/s. What speed does it have when it slides back down to its starting point? 2.8 m/s 4.9 m/s 4.2 m/s 3.5 m/s
- Consider the figure shown in the following figure. You are lowering two boxes, one on top of the other, down a ramp by pulling on a rope parallel to the surface of the ramp. Both blocks move with constant velocity of 10.0 [m/s]. The coefficient of kinetic friction between the ramp and the lower box is 0.555 and the coefficient of static friction between the two boxes is 0.750.4. What is the magnitude of the applied force?5. Determine the angle at which the top block will start to slide down the bottomA 1500-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see figure). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are uk = 0.450 and us = 0.650. The pulley has no appreciable mass or friction. What is the MAXIMUM weight w that can be used to hold this crate stationary on the ramp? %3D W= ? Crate 22.0° Ramp 30.00A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. The puck's initial speed is 14.9 m/s. What speed does it have when it slides back down to its starting point?
- You are driving a car at a constant speed of 14.0 m/s along a straight level road. As you approach anintersection, the stoplight turns red and you slam on breaks and the wheels lock and you skid to a stop in25.0 m. What is the coefficient of kinetic friction between your tires and the road?Two horses pull a cart with a total applied force of 1000N. The kinetic friction from the gravel road has a value of 375 N. Assuming the cart is 200kg, what is the acceleration of it?The road is flat and the horses are traveling in a straight path.A 5.00 kg box sits at rest at the bottom of a ramp that is 8.00 m long and is inclined at 30 degrees above the horizontal. The coefficent of kinetic friction between the box and the surface is 0.40, and coefficent of static friction is 0.43. What constant force F, applied parallel to the surface of the ramp, is required to push the box to the top of the ramp in a time of 6.00 seconds?