A block is thrown toward the top of an inclined plane that makes an angle of 35° with the horizontal with a speed of 17 m/s. Considering that the coefficient of friction is equal to 0.4, calculate the speed with which the block returns to the starting point, as well as the time it takes to go up and down.
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A block is thrown toward the top of an inclined plane that makes an angle of 35° with the horizontal with a speed of 17 m/s. Considering that the coefficient of friction is equal to 0.4, calculate the speed with which the block returns to the starting point, as well as the time it takes to go up and down.
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- A mass m slides up an incline (with = 32.1 degrees above the horizontal) until it stops momentarily because of friction. The coefficient of static friction between the mass and incline is 0.9; the coefficient of kinetic friction between the mass and incline is 0.4. At a given instant, the mass is moving with speed of 4.3 m/s up the incline. How far beyond this point along the incline will the mass move before it comes to a stop?A skateboarder with mass m, = 44 kg is standing at the top of a ramp which is h, = 3.9 m above the ground. The skateboarder then jumps on his skateboard and descends down the ramp. His speed at the bottom of the ramp is v= 6.7 m/s. Part (b) The ramp makes an angle e with the ground, where 0 = 30°. Write an expression for the magnitude of the friction force, f, between the ramp and the skateboarder. cos(e) sin(e) 8 HOME a 5 6 1 2 3 h, P . END m, + Vf vol BACKSPACE CLEAR Part (c) When the skateboarder reaches the bottom of the ramp, he continues moving with the speed vfonto a flat surface covered with grass. The friction between the grass and the skateboarder brings him to a complete stop after 5.00 m. Calculate the magnitude of the friction force, Fgras; in newtons, between the skateboarder and the grass. Fgrazs =A student is skateboarding down a ramp that is 5.02 m long and inclined at 23.6° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.34 m/s. Neglect friction and find the speed at the bottom of the ramp.
- A skateboarder with mass m, = 44 kg is standing at the top of a ramp which is h, = 3.9 m above the ground. The skateboarder then jumps on his skateboard and descends down the ramp. His speed at the bottom of the ramp is v= 6.7 m/s. Part (b) The ramp makes an angle e with the ground, where 0= 30°. Write an expression for the magnitude of the friction force, fr. between the ramp and the skateboarder. F;= cos(e) sin(0) 8 9 HOME d 1 2 3 hy m. + END Vf vol BACKSPACE CLEAR Part (c) When the skateboarder reaches the bottom of the ramp, he continues moving with the speed vonto a flat surface covered with grass. The friction between the grass and the skateboarder brings him to a complete stop after 5.00 m. Calculate the magnitude of the friction force, Fgras: in newtons, between the skateboarder and the grass. Fgras:=need help with (b) We set the x and y axes parallel only full part (b).A chain attached to an object with a mass of 68.0 kg is propelled by a motor to move it up an inclined surface. At a speed of 1.5 m/s, the object covers a distance of 90.0 m on the surface. A 30.0° angle separates the horizontal from the surface. Assume there is no friction. For how long does it take to pull the thing up the incline? (a) If a motor is to be used, how much horsepower (hp) should it have?
- A block is projected up a frictionless inclined plane with initial speed v0 = 6.96 m/s. The angle of incline is θ = 23.4°. How long does it take to get to its highest point?A ball with a unknown mass is attached to a cable and suspended from the ceiling. The distance from the ceiling to the hanging is 1.9 m (the length of the cable). A person pulls the ball so the cable makes an angle of 64 degrees to the vertical. Determine the maximum speed that can be reached by the mass (in m/s).A block is projected up a frictionless inclined plane with initial speed v_0 = 3.50 m/s. The angle of incline is 30°. How far up the plane does the block go?
- A block of mass 4 kg is pushed with an initial speed of 1.0 m/ s up an inclined plane raised 20° above the horizontal. If the coefficients of static and kinetic friction are 0.3 and 0.1 respectively , how far along the plane does the ball slide before stopping?A frictionless plane is 10.0 m long and inclined at 42.0°. A sled starts at the bottom with an initial speed of 5.70 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. (b) Determine the initial speed of the second sled.When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of uN, is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction p = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is where x(t) x(0) = 0 mg sin 60° 9.81 m/sec?. mg cos 60° 600 mg Determine the equation of motion for the object as it slides down the plane. X(t)%3D
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