compressed spring of spring constant 320 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction uk=0.25. The frictional force stops the block in distance D=5 m. Find the original compression distance of the spring
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![As given in the figure below, a 4 kg block is accelerated from rest by a
compressed spring of spring constant 320 N/m. The block leaves the spring at
the spring's relaxed length and then travels over a horizontal floor with a
coefficient of kinetic friction uk=0.25. The frictional force stops the block in
distance D=5 m. Find the original compression distance of the spring](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feaed00ab-3a94-4222-bcd8-6aeefbebab90%2F1fcc3f9f-7e11-41e2-822a-2dd4db4aaf96%2Ff6b8ye_processed.jpeg&w=3840&q=75)
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- GggAs given in the figure below, a 4 kg block is accelerated from rest by a compressed spring of spring constant 320 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction uk=0.25. The frictional force stops the block in distance D=5 m. Find the original compression distance of the springA 500-g block is released from rest and slides down a frictionless track that begins 1.86 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 16.0 N/m. Find the maximum distance the spring is compressed. 50 0g h k
- A box with m = 2 kg is launched up the circular ramp by compressing and releasing a spring with k=5kN/m. If the ramp has ρ=1.5m and the spring is compressed 0.1156 m, will the box be able to reach point B if the coefficient of kinetic friction of the ramp, μk = 0.3?Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance Yo' then helps to support any additional load. Consider a leaf spring constant of 5.35 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y₁ = 0.500 m. Truck body Yo Axle (a) What is the compression of the leaf spring for a load of 4.10 × 105 N? 0.69 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) How much work is done compressing the springs? J andAn object of mass 0.5 kg is propelled up an incline of angle 17 degrees by a spring with a constant of 11.4 N/m. The horizontal surface is frictionless. The coefficient of kinetic friction between the block and the incline is 0.12. If the spring is compressed by 0.6 m, how high (h shown on the figure) will the object go? Answer in m with two decimals. k, x IM 1-?
- A block of mass 12 kg slides down a frictionless inclined plane inclined at 35° with no initial velocity and is stopped by a spring of k= 3.0 * 10^4 N/m. The block slides a total distance of d = 3 m from the point where it was released to the point where it stops due to the resistance of the spring. How much is the spring compressed when the block stops?A block with mass 300 g is held at rest against a spring with spring con- stant 200 N/m that has been compressed 3 cm from its equilibrium length. The block is released and allowed to slide on a table, and the coefficient of kinetic friction between the block and the Problem 1 table is 0.3. The block slides a short distance on the table and then comes to rest. Assume the block loses contact with the spring when the spring is at its equilibrium length, and that the friction force only acts after the block has lost contact with the spring. (a) How much work does the spring force do on the block? (b) How much work does the kinetic friction force do on the block? (c) After leaving the spring, what distance does the block slide before coming to rest? (d) What speed did the block have after sliding 5 cm from the point it lost contact with the spring?A sky diver plans to bungee jump from a tower 74.0 m above the ground. She plans to use a uniform elastic cord, tied to a harness around her body, to stop her fall at a point 11.0 m above the water. Model her body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test she finds that when hanging at rest from a 5.00 m length of the cord, her body weight stretches it by 1.25 m. She will drop from rest at the point where the top end of a longer section of the cord is attached to the tower. (a) What length of cord should she use? m (b) What maximum acceleration will she experience? m/s²
- A block of mass m 2.00 kg slides along a horizontal table with speed vo 9.50 m/s. At x = 0 it hits a spring with spring constant k95.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by u 0.100. How far has the spring compressed by the time the block first momentarily comes to rest? wwwww.wl Number 9.50 m/s m Ar ?A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm. The block is released and it slides across the floor a distance of 3.4 m before it stops. The coefficient of friction between the block and floor is 0.185. Find the force constant of the spring.