Three blocks are connected by a massless rope that passes over massless pulleys as shown in the figure. The mass of block A is 1.4 kg, the mass of block B is 2.5 kg of block C is 3.1 kg. As block B slides across the horizontal surface energy is dissipated at a rate of 6 J/m due to friction. What is the magnitude of the acceleration m/s²)? A B C
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- A block with a mass of 2-kg is used to compress a spring x= 60 cm. The spring constant of the spring k = 200 N/m. After the block released , it slides along a level surface until comes to the bottom of a incline (0 = 20° ). If µk between the block and level and in cline surfaces is 0.2 (uk = 0.2 ). a. What is the speed of block the bottom of incline? b. What maximum height does the block slide? k=200N/m h =? Kx=60cm 2kg Hu=0.2 h=? HK = 0.2 e = 20° V. K-d=10mA 61.5-kg hiker starts at an elevation of 1200 m and climbs to the top of a peak 2750 m high. Part A What is the hiker's change in potential energy? Express your answer to three significant figures and include the appropriate units. ΔΡΕς = Submit Part B W min = Submit Part C What is the minimum work required of the hiker? Express your answer to three significant figures and include the appropriate units. O Yes O No Value Submit μA Request Answer ī μÅ Value Request Answer Units Can the actual work done be greater than this? Request Answer Units ? ?I need help with #2
- a. A 10.0 kg object has an initial velocity of (5.0i + 3.0j) m/s. What is its kinetic energy at this time? KE = ½ mv² where v² = V.VA crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules? b. What is the work done by friction, in joules? c. What is the work done by gravity, in joules? d. What is the net work, in joules?A 3.50 kg block is pulled up a frictionless inclined plane by a 60.0 N force that is parallel to the plane, starting from rest.The normal force on the block from the plane has magnitude 15.2 N.What is the block's speed when its displacement up the ramp is 3.40 m? Number i Units
- Problem 1 A 1-kg block is 3 meters from a light spring. The coefficient of kinetic friction between the floor and the block is 0.25 (the coefficient of friction is the same on the entire surface). The block has a speed of 3 m/s when it hits the spring that has a force constant of 50 N/m. The block comes to rest when it has compressed the spring a maximum distance d. Find: 1. The speed of the object at the beginning of the 3 meters. 2. The value of the maximum compression d. k mThe dragster accelerates from rest down a road of length d = 400.0 m. In the absence of any friction the dragster has a constant acceleration of a = 21.1 m/s2 in the direction of motion, and its mass is m = 1175 kg. Assume the dragster is moving in the positive horizontal direction. a. Assuming there is no rolling friction, write an expression for the amount of net work done on the dragster, Wd, during the run, in terms of the given quantities. b.consider the existence of rolling friction, which causes a total resistive force with magnitude Fr on the dragster. Write an expression for the work done by this force over a distance d. c. What is an expression for the total kinetic energy of the dragster, Ed, in the presence of rolling friction after it travels a distance d. d. What is the dragster's final speed, in meters per second, assuming Fr = 1000 N?A small sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed v0. Determine expressions for the following in terms of m, v0, h, and g. Air resistance is negligibly small. W is the amount of work done by the force of gravity on the projectile during its flight. ΔKE is the change in kinetic energy ΔKE of the projectile from the time it was fired until it hits the water. KEf is the final kinetic energy KEf of the projectile as it hits the water.
- A 79 kg bike racer climbs a 1400-m-long section of road that has a slope of 4.3° Part A By how much does his gravitational potential energy change during this climb? Express your answer with the appropriate units. AU = O μÅ Value Units ?A 4.00kg block moves with an initial speed of3.50 km/h downhillover an inclined plane as shown in the figure. The height of the inclined plane is 51.3cm and the friction coefficient between the block and the incline is 0.120. a.How much is the speed of the block at the midpoint of the inclined side. b.How much is the speed of the block at the bottom of the inclined side.The figure shows four particles, each of mass 17.5 g, that form a square with an edge length of d = 0.600 m. If d is reduced to 0.150 m, what is the change in the gravitational potential energy of the four-particle system? d d