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- You are a member of an alpine rescue team and must get a box of supplies, with mass 2.10 kg, up an incline of constant slope angle 30.0° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s². Part A Use the work-energy theorem to calculate the minimum speed that you must give the box at the bottom of the incline so that it will reach the Express your answer numerically, in meters per second. ► View Available Hint(s) V= ΕΠΙΑΣΦΑ A20 ^ ? m/sA 7 kg block measures 9 cm by 15 cm by 27 cm. When it slides on a 15 cm by 27 cm face, it moves with constant speed when pulled horizontally by a force whose magnitude is 15 N. How big a horizontal force must be applied to pull it with constant speed if it slides on a 9 cm by 27 cm face?A 80.0 kg mail bag hangs by a vertical rope 3.5 m long. A postal worker then displaces the bag to a position 2.4 m sideways from its original position, always keeping the rope taut.
- You are a member of an alpine rescue team and must get a box of supplies, with mass 3.00 kg , up an incline of constant slope angle 30.0° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00x10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s?. Use the work-eneray theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.A 12 kg box is released from the top of an incline that is 5 m long and makes an angle of 40 degrees to the horizontal. The friction force between the box and the incline is 60 N. What is the coecient of kinetic friction µk between the box and the incline?A 1520-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 ls = 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? w = ? 22.0° Crate Ramp 30.0°
- You are a member of an alpine rescue team and must get a box of supplies, with mass 3.00 kg , up an incline of constant slope angle 30.0 ° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00x10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s² . Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.A 29-N block slides down a 23 degrees inclined plane with an initial velocity of 2.6 m/s. Determine the velocity of the block in 3.13 s if the coefficient of kinetic friction between the block and the plane is UK =0.28.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)
- A box with with a mass m = 2kg is being pushed up a ramp by an unknown pushing force Fp. The coefficient of static friction between the box and interface is 0.7. The coefficient of kinetic friction between the box and interface is 0.6. The incline of the ramp is 15 degrees. The velocity of the box is constant. The surface of the ramp is 12 m. Fp is removed when the box reaches the top of the ramp. What is the acceleratin of the box after Fp is removed?A student is skateboarding down a ramp that is 6.02 m long and inclined at 22.3° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.98 m/s. Neglect friction and find the speed at the bottom of the ramp.A small block sits at one end of a flat board that is 4.00 m long. The coefficients of friction between the block and the board are μs= 0.450 and μ = 0.400. The end of the board where the block sits is slowly raised until the angle the board makes with the horizontal is α0, and then the block starts to slide down the board. If the angle is kept equal to α0 as the block slides, what is the speed of the block when it reaches the bottom of the board? Express your answer with the appropriate units.