4. A 12 N object is attached vertically by a string to a frictionless car that runs along a level track. The car with mass m kg covers a distance of 1.25 m in 5.0 s after it starts from rest. Find the final speed of the car. (m/s) Find the loss in potential energy of the 12 N object in falling through a distance of 1.25 m (J) Find the gain in kinetic energy of the car and the hanging object (J) PLEASE SHOW COMPLETE SOLUTION
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4. A 12 N object is attached vertically by a string to a frictionless car that runs along a level track. The car with mass m kg covers a distance of 1.25 m in 5.0 s after it starts from rest.
- Find the final speed of the car. (m/s)
- Find the loss in potential energy of the 12 N object in falling through a distance of 1.25 m (J)
- Find the gain in kinetic energy of the car and the hanging object (J)
PLEASE SHOW COMPLETE SOLUTION
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- The Super Sled travels with an initial kinetic energy of 3369 J horizontally and to the right along a frictionless flat surface, initially at a height of zero (initial gravitational potential energy = 0). The driver briefly engages the rocket over a distance (Ax) of 2.000 m, pushing the sled with a force of 400.0 N over that distance. The rocket is then turned off. The sled then goes up an inclined surface with a rough surface. The coefficient of kinetic friction on the incline is uk. At the top of the incline, the sled reaches a height h = 1.500 m above the ground where the surface becomes flat and frictionless again. The sled (including the rocket and driver) has a total mass of 87.00 kg. (Notes: assume that g = 9.810 m/s² , and that the mass of fuel used by the rocket is negligible. Do not use scientific notation). After &, rocket rocket Before propulsion propulsion starts ends rough inclined surface rocket frictionless engaged coefficient of kinetic friction = H surface h = 1.500 m…10. Block 1 with a mass of 1.0 kg slides down a frictionless ramp with a height of 3.0 m and cllides with block 2 which has a mass of 2.0 kg. The flat surface has friction with a friction coefficient of 0.50. 2 a. Determine the speed of block 1 when it reaches the bottom of the ramp.Below is a conservation of energy problem. The solution to this problem is provided. Assess whether the solution provided is correct or incorrect AND EXPLAIN WHY. = 4.6 kg block is at rest against a horizontal spring that is compressed by 0.40 m. The spring has a spring constant of k₁ 2750 N/m. After leaving the spring, it travels up a 28° incline to a height of 2.8 m. At the top of the hill is a second spring with a spring constant of k₂ = 350 N/m. The horizontal portions are frictionless, but the hill has a coefficient of kinetic friction equal to uk = 0.16. The final velocity of the block is 9.78 m/s. How much is the second spring compressed by when the block comes to a stop against it? Simplifies to X₁ = 0.40 m h₁ = 0 m Vi = 0 m/s xf Wnc = 0 J 2 Wnc + mgh₁ +1/2 kx₁² +½ mv² = mgh₁+½ kxf² +½ mvf2 = k₁ = 2750 N/m k₂= 350 N/m m = 4.6 kg 2 ½ k₁x₁² = mghf + ½ K₂Xf2 2 ½ k₁x;² — mghƒ _½ k₂xf² Xf= 2750 N/m 350 N/m (0.4 m)2 x k 2 2gh -X f= X₁ = ? m h₁ = 2.8 m Vi = 0 m/s 0.141 m 2(9.8…
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- A child stands on a bank beside a pond, grasps the end of a 20.0 m long rope attached to a nearby tree and swings out to drop into the water. When the rope makes an angle of 15.0⁰ with the vertical, the child's speed is 5.00 m/s. a) At what point in the swing does the child's maximum speed occur? b) What is the child's maximum speed? Ignore all frictional effects. c) Assuming the child started from rest, what angle did the rope initially make with respect to the vertical?A child sits on a swing that is 0.535 m above the ground when it hangs vertically. The length of the rope of the swing is 3.29 m. A mother pulls the child and swings back, and gives the child an initial push. At the moment when the parent's hands leave the child, the child is 1.24 m above the ground and has a speed of 1.61 m/s. Ignoring friction and air resistance, what is the child's speed (in m/s) when passing through the lowest point (0.535 m above the ground)? The mass of the child and swing together is 17.7 kg.1. An object of mass m, = 5.60 kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2 = 9.50 kg as shown in the figure. How fast are the masses moving after m2 falls 1 m? Please use conservation of energy for this problem.
- An object whose mass is 10 lb is projected straight upward from the surface of the earth and reaches a height of 100 ft when its velocity reaches zero. The only force acting on the object is the force of gravity. The acceleration of gravity is g = 32.2 ft/s². Determine the initial kinetic energy of the object, in ft·lbf, and the initial velocity of the object, in ft/s.A 108 kg crate slides down a ramp, starting from rest. The ramp is inclined at an angle of 36.4 degrees with respect to the horizontal and has a height of 1.03 m. The crate is placed on frictionless casters so that it slides down the ramp without friction. What is the final speed of the crate (in m/s) just as it reaches the bottom of the ramp? Use g = 9.81 m/s².The spring in the image has a spring constant of 8000 N/m. it is pressed 24.0cm from its normal length. When released, the spring launches a 5 kg block on a frictionless horizontal surface. The block then climbs a 2 m high ramp inclined at an angle of 35.0 degrees above the horizontal And has a coefficient of kinetic friction of 0.480. calculate the following: a. The initial speed of the block at the base of the ramp (vi) b. The final speed of the block at the very top of the ramp (v) c. The horizontal distance the block travels after it takes off from the top of the ramp (d) 35° Ramp 2m