23. A 35.0-cm long spring is hung vertically from a ceiling and stretches to 41.5 cm when a 7.50-kg load is hung from its free end. Find the spring constant, in N/m.
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Q: Please answer #21 with full solutions. Thank you! Analyze the problems carefully, then solve them.…
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Kindly, help me out on #23. thanks
Analyze the problems carefully, then solve them. Be systematic when answering. Write the given, label them; the required; and all calculations pertinent to the problem. Express your numerical answers with the appropriate number of significant figures.
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- 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 and31-35A70kg circus performer stands on a spring-loaded platform. The spring under the platform has a spring constant of 1250 N/m. how much should sprig be compressed to vault the performer to a height of 5 m?1. A 25.0 cm long spring is hung vertically from a ceiling and stretches to 29.5 cm when a 7.00 kg mass is hung from its free end. (a) Find the spring constant (in N/m). crcled (b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 215 N weight.
- 2. A0.01-kg block, attached to a spring, is pushed until the spring is compressed a distance of 6 cm from the equilibrium position. The block is released from rest and slides along a path that is without friction from point A to point B as shown in the figure below. After reaching polnt B, the block travels on a rough ramp of angle 30 from the ground and travels 0.5m (point C). Assuming a spring constant of 53.5 N/m and a coefficient of kinetic friction of on the ramp is 0.25. a. What is the velocity of the block at point C (v)? As the block continues beyond point C, what is the maximum height (y), if it follows a projectile motion (no air resistance)? b. C. What is the magnitude of the velocity of the block just before it hits the ground ( vo)? y=? 535No m=001kg 30.0 6.0 cm 1 Add filem = 0.042 kgk = 310 N/mspring initially compressed 0.29 m2.3 J lost due to frictionh = 6.1 m Find v in m/s.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 shown in the figure below. When the main leaf spring is compressed by distance y0, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.50 ✕ 105 N/m, the helper spring constant is 3.40 ✕ 105 N/m, and y0 = 0.500 m. A side view of a truck suspension. The truck body is above the wheel. The main leaf spring spans the horizontal width of the wheel and is attached at both ends to the truck body. The "helper" spring is aligned vertically with its lower end attached to the axle and the upper end unattached. The upper end is a distance y0 from the truck body. (a) What is the compression of the leaf spring for a load of 5.50 ✕ 105 N? (b) How much work is done in compressing the springs?
- 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 shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.90 x 105 N/m, the helper spring constant is 3.60 x 105 N/m, and yo = 0.500 m. Truck body Axle (a) What is the compression of the leaf spring for a load of 4.70 x 105 N? 0.87 Your response differs from the correct answer by more than 10%. Double check your calculations. m (b) How much work is done in compressing the springs? 0.855 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J3. A block of mass m is attached to the end of a horizontal massless spring (spring con- stant k), resting on a frictionless table. The mass is then given an initial displacement xo from equilibrium, and an initial speed vo. Ignoring friction, use energy methods to find (a) its maximum speed, and (b) its maximum stretch from equilibrium, in terms of the given quantities.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 shown in the figure below. When the main leaf spring is compressed by distance y0, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.30 ✕ 105 N/m, the helper spring constant is 3.40 ✕ 105 N/m, and y0 = 0.500 m. (a) What is the compression of the leaf spring for a load of 5.20 ✕ 105 N? (b) How much work is done in compressing the springs?
- 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 shown in the figure below. When the main leaf spring is compressed by distance y0, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.30 ✕ 105 N/m, the helper spring constant is 3.40 ✕ 105 N/m, and y0 = 0.500 m. (a) What is the compression of the leaf spring for a load of 5.20 ✕ 105 N?One end of a spring is attached to a fixed wall while a 0.31 kg block is attached to the other movable end. The spring is stretched 0.5 m horizontally, then released from rest. Calculate its speed when it goes back to equillibrium if thw spring's force constant is k=4 N/m.A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the ceiling and its lower end at position y = 0. A block of weight 21 N is attached to the lower end, held still for a moment, and then released. If K = the kinetic energy, ΔUg = the change (from the initial value) in the gravitational potential energy, and ΔUe = the change in the elastic potential energy... What are (j)K, (k) ΔUg, and (l) ΔUe when y = –20 cm?