A contestant in a winter games event pulls a 47.0 kg block of ice across a frozen lake with a rope over his shoulder as shown in the figure. F 25° The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03. (a) Calculate the minimum force F (in N) he must exert to get the block moving. N (b) What is its acceleration (in m/s²) once it starts to move, if that force is maintained?
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- A 1.80x10^4 kg semi-trailer truck drives up a 200 m hill [θ = 30 degrees above horizontal], at a constant speed of 25.0 m/s. The force of friction is 6.00x10^2 N. Write an equation to isolate and solve for P.A block with a mass of 9.32 kg is placed on a ramp. The ramp has an incline of ? = 20.2 degrees from the horizontal. The static coefficient of friction between the block and ramp is μs = 0.255, and the kinetic coefficient of friction between the block and ramp is μk = 0.134. A force, F, is exerted on the block as shown. Note that the force F is parallel with the ramp. What is the smallest value (magnitude) for the force, F, in Newtons that can be exerted on the block to hold the block stationary on the ramp? What is the largest value (magnitude) for the force, F, in Newtons that can be exerted on the block while still holding the block stationary on the ramp? What value (magnitude) for the force, F, is needed to move the block up the ramp at a constant speed?A 2.60 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 7.29 N and a vertical force P are then applied to the block (see the figure). The coefficients of friction for the block and surface are us = 0.4 and Pk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P is (a)6.00 N and (b)8.00 N. (The upward pull is insufficient to move the block vertically.) (a) Number Units (b) Number Units
- A 1,500-N crate is being pushed across a level floor at a constant speed by a force F of 370 N at an angle of 20.0° below the horizontal, as shown in the figure a below. F 20.0° / b 20.0° (a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.) 0.220 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.You are a bully. You pin a 48 kg dweeb to a wall so that his feet aren't touching the ground. Your arm is extended so that it makes an angle 28 degrees with the horizontal. The dweeb's back is so sweaty with fear that there is no friction between his back and the wall. What is the magnitude of the force , in N, you must apply to keep the dweeb in equilibrium? (Use g = 10 m/s2) This scenario is represented schematically below. Unfortunately for you, years later the dweeb is your boss and he makes your life miserable. (Please answer to the fourth decimal place - i.e 12.3445)Question 1
- The Omani "Noor Majan" car is of mass (M) kg is going up Jabal Akhdar, at angle (θ), with (N) people inside the car each of (mp) kg. The car model provides (L) Newtons of lift, and it is accelerating up at (a) m/s2. The road provides a coefficienct of kinetic friction (μk). What is the force exerted by the engine? [Hint: This question has no numbers. Your answer needs to be an equation.]The coefficient of friction between the wheels of Yamaha motorcycle and the dry pavement is 0.88. An animal walks out into the road, causing a motorcyclist to slam on the brakes. The wheels stop turning, but the tires skid along the road, causing intense friction and heat. Determine the magnitude (positive) of the acceleration which the 224-kg motorcycle experiences while skidding to a stop. The mass includes the rider. Answer: m/s/s (or m/s²)A block 5.0 kg is on an inclined plane. If the friction coefficient (static and kinetic) between the block and the plane is μ = 0.5, and the angle θ = 35°, determine the maximum friction force that the plane could exert on the block. The block is not necessarily at rest. Use g = 10 N/kg.
- In the figure, a force P acts on a block weighing 45.0 N. The block is initially at rest on a plane inclined at angle = 18.0° to the horizontal. The positive direction of the x axis is up the plane. The coefficients of friction between block and plane are μ = 0.540 and Uk = 0.340. In unit-vector notation, what is the frictional force on the block from the plane when Pis (a) (-5.30 N)î, (b) (-8.10 N)î, and (c) (-15.1 N)? (a) Number i (b) Number i (c) Number i i+ i+ i i i+ i j Units j Units j UnitsA box is at rest on a floor. The box has a mass of 35.0 kg. A force P = 213.0 N is acting to the left at an angle = 31.5° above the horizontal as shown in the figure provided on the right. Between the box and the floor, the coefficient of static friction is Hs = 0.830 and the coefficient of kinetic friction is HK = 0.778. What is the magnitude of the normal force acting on the box? P 0 m10. a. In investigating an acccident, police find skid marks left by a car as the driver slammed on the brakes and the car skidded to a halt. The skid marks form a straight line 3.9375 m long on a flat road. It was raining and the coefficient of friction was 0.32125. The mass of the car is 1486.75 kg. What is the angle between the friction force and the displacment of the car? Previous submissions: b. Using W = F Ax cos 0, what was the work done by friction? Previous submissions: c. What was the AKE? Previous submissions: d. What was the initial velocity of the car? Take this to be positive.