A block of mass m = 3.00 kg is released from rest at h=5 m above the surface of a table, at the top of a θ = 60.0° incline as shown in Figure 3. The incline is fixed on a table of height H=1.0 m. (a) How far from the table will the block hit the floor, if coefficient of kinetic friction between m mass and incline is 0.1.
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- A block of mass m = 3.00 kg is released from rest at h=5 m above the surface of a table, at the top of a θ = 60.0° incline as shown in Figure 3. The incline is fixed on a table of height H=1.0 m. (a) How far from the table will the block hit the floor, if coefficient of kinetic friction between m mass and incline is 0.1.
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- Two identical springs, A and B, each with spring constant k = 30.7 N/m, support an object with a weight W = 15 N. Each spring makes an angle of θ = 34.8 degrees to vertical, as shown in the diagram. (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ. (b) By how much is spring A stretched, in meters?The mass M_1 slides on a 45 degree incline surface with a height of H, as shown in the figure . The mass is connected by a flexible rope, over a small pulley (its mass is neglected) and connected to another mass M_2 whose mass is equal to the previous block and is vertically hanging as shown below. The rope is long enough for two blocks to be at rest at height H/2 . The dimensions of the two blocks and the pulley are neglected compared to the height H, the blocks were left to move freely at time t=0 1- At time t> 0 find the vertical acceleration of the mass m_2 2- Which of the two blocks moves down? Calculate the time when it will hit the ground? 3- If the block stopped in the previous paragraph when it hit the ground, but the other block continued to move, clarify whether or not it will hit the pulley. Why?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.
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- A block of ma65 m- 2.00 kg is released from rest ot h= 0.500m above the surface of a table, at the top of a e= 30.0°incline as shown below. The coefficient of kinetic friction between the block and the incline is 0,150. The incline is fixed on a table of height H= 2.00 m. (A.) What is the velocity of the block as it leaves the incline? Use the conservation of energy. (B.) How far from the toble will the block hit the floor? m h Н -RA block of mass mA=20kg on an inclined plane and a bucket of mass mbucket=16kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of θ=46o with the horizontal and the coefficients of kinetic and static friction are μk=0.21 and μs=0.58. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!A block of mass m rests on a plane inclined an angle with the horizontal. A spring with force constant k is attached to the block. The coefficient of static friction between the block and plane is s. The spring is pulled upward along the plane very slowly. (a) What is the extension of the spring the instant the block begins to move? (b) The block stops moving just as the extension of the contracting spring reaches zero. Express k (the kinetic coefficient of friction) in terms of s and .