netic friction between the block and the plane is k = 0.10. The block is attached to a second block of mass m₂ = 220 g at hangs freely by a string that passes over a frictionless and massless pulley. Find its speed when the second block has llen 30.0 cm. 5929 X cm/s
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- A block of mass m is initially at rest at the top of an inclined plane, which has a height of 4.8 m and makes an angle of θ = 27° with respect to the horizontal. After being released, it is observed to be traveling at v = 0.65 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the block, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.A block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 5.1 m and has an angle of θ = 16° with respect to the horizontal. After being released, it is found to be moving at v = 0.55 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance, d, in meters.At what initial speed should a box of mass m be thrown parallel to the surface of the inclined plane from the lower end of an inclined plane with friction making a 30 degree angle with the horizontal direction so that it can travel 3m on the inclined plane? (The kinetic coefficient of friction between the box and the surface of the inclined plane is mk = 0.02.)
- a block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 6.8 m and has an angle of 0=16 degrees with respect to the horizontal. After it has been released, you perceived it to be moving at v=0.55 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane i sup=0.1 and the coefficient of friction on the horizontal surface its ur=0.2. a)what is the speed of the block, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.A mass M1 (of 2.5 kg) slides without friction on a table at a speed of 5 m/sec towards a mass M2 of 5 kg which can also slide without friction on the table. There is a spring on the face of M2 that will contact M1. If the spring constant is 100 N/m, what will be the maximum compression of the spring?A crate of mass mm is initially at rest at the peak of an inclined plane which has a height of 4.43m4.43m and makes an angle of θ=24.2 with respect to the horizontal. After it has been released, it is found to be traveling at v=0.99m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. a.-Find the distance, d, in meters.
- a mother and her child are skiing together, and the mother is holding the end of a rope tied to the child's waist. They are moving at a speed of 7.2 kph on a gently sloping portion of the ski slope when the morher observes that they are approaching a steep descrnt. She pulls on the rope with an average force of 15 N. Knowing the coefficient of frivtion between the mother and the ground is 0.2, the mass of the mother is 62 kg and the angle of the rope does not change, determine the acceleration of the mother, the time reuired dor the mother's speed to be cut in half, and the distance traveled.block of mass m= 5 Kg is sent sliding up a large plane inclined at 0 = 37° while a horizontal force of magnitude 50 Newton acts on it. The coefficient of kinetic friction between the block and the plane is u= 0.3, and the coefficient of static friction is us= 0.35. g 5 The blocks initial speed is 4 m/s If the block reaches a highest point, does it remain at rest or slides back down the plane?Two blocks (m1=5.2 kg, m2=3.6 kg), initially held at rest, are connected by a string that passes through a massless pulley as shown in the Figure. The block of mass m1 is given a push up the inclined plane, and released with an initial speed of v0 =11.8m/s . Take kinetic friction coefficient between the surface and blocks is µk =0.2, and θ =19.2 0. Find the maximum distance d for the block to move on the inclined plane after being released (just before coming to a stop temporarily). Take g=9.81 m/s2, and express your answer using two decimal places.
- A particle of mass m is projected from point A with an initial velocity v0 perpendicular to line OA and moves under a central force F along a semicircular path of diameter OA . Observing that r= r0 cos 0 and using Eq. (12.25), show that the speed of the particle is v=v0/ cos2 0.Reference to Equation 12.25:r20 =h.An object of mass ?=8.9 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of ?⃗=(3 N)?̂+(4 N)?̂. What is the object's speed in m/s after moving 1 meter?A fish of mass 1kg is lying still on an inclined plane at 3o degrees above the horizontal. the magnitude of the normal force exerted by the plane on the fish is. 0N 9.8N 8.5 N 4.9N