The spring of a toy car is wound by pushing the car backward with an average force of 15 newtons through a distance of 0.50 meter. How much elastic potential energy is stored in the car's spring during this process?
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A: Given: Force is used to compress a spring F = 15 N Spring constant K = 500 N/m
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A: Here is the step-by-step explanationStep 1: Use Formula:First, we need to find out the potential…
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A: Given compressed distance is x= 0.50 m Applied force is F=160 N
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A: solution as
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Q: A spring with a spring constant of 120 N/m with an uncompressed length of 36 meters is compressed…
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A: Step 1:Step 2:
Q: A spring is compressed 0.100 m and launches a 3.25 kg object across frictionless ice. After some…
A: From work energy theorem, the expression is,
Q: In the figure below the block has m = 3.0 kg and the spring has k = 350 N/m. If the block, initially…
A: Given data: Mass (m) = 3.0 kg Spring constant (k) = 350 N/m Height (h) = 0.8 m Acceleration due to…
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A: mass=2Kg initial potential energy= Total energy= 1.2 J spring constant= 44N/m
Q: A spring is characterized by a spring constant of 60N/m. How much potential energy does it store…
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- A spring that obeys Hooke's law is hung in a vertical orientation. The spring is stretched a total of 6.0 cm from its equilibrium length when a 2.0 kg mass hangs from it. The spring, mass system is then pulled downward by an external force which lengthens the spring an additional 10cm. While the spring is being extended what is the work done by the spring?The figure shows an 8.4 kg stone at rest on a spring. The spring is compressed 12 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 30 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? k (a) Number i Units (b) Number i Units (c) Number Units (d) Number Units > > >A 2 kg block is on top of a 10 m high table and loaded onto a spring (with spring constant k = 50 N/m) compressed 10 cm from the equilibrium and then released. The block travels on the frictionless table and lands on the ground. What is the total work done by all forces acting on the block from the initial position at the spring to the final position just before the block lands on the ground?
- Answer parts a, b and c of the following question.7. a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What should be the force constant (spring constant) of this spring? b) A very light ideal spring having a spring constant (force constant) of 8.2 N/cm is used to lift a 2.2-kg tool with an upward acceleration of 3.25 m/s2. If the spring has negligible length when it us not stretched, how long is it while it is pulling the tool upward? c) How fast must a 6.0-kg cat run to have a kinetic energy of 150 J?A 13 kg runaway grocery cart runs into a spring with a spring constant of 260 N/mN/m and compresses it by 65 cm. What was the speed of the cart just before it hit the spring?Figure (a) applies to the spring in a cork gun (Figure (b)); it shows the spring force as a function of the stretch or compression of the spring. The spring is compressed by 7.00 cm and used to propel a 3.90 g cork from the gun. (a) What is the speed of the cork if it is released as the spring passes through its relaxed position? (b) Suppose, instead, that the cork sticks to the spring and stretches it 1.70 cm before separation occurs. What now is the speed of the cork at the time of release? Force (N) 0.4 0.2 -4-2 2 4 -0.2 -0.4 (a) x (cm) Compressed spring. 0 (b) Cork
- The elastic energy stored in your tendons can contribute up to 35% of your energy needs when running. Sports scientists find that (on average) the knee extensor tendons in sprinters stretch 42 mm while those of nonathletes stretch only 35 mm. The spring constant of the tendon is the same for both groups, 33 N/mm. What is the difference in maximum stored energy between the sprinters and the nonathletes? Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) AU = μA Value N mA spring has a natural length of 13.6 cm and a spring constant of 230 N/m. How much elastic potential energy will the spring have when it is stretched by 5.12 cm?When a chip jumps, the energy comes from the muscles, but also from an elastic protein which is subjected to a compression similar to that of a spring. If a chip, with a mass of 2.0 × 10-7 kg, jumps vertically from a height of 65 mm, and 75% of the energy comes from the elastic protein, determine the initial amount of this energy.
- An athlete stretches a spring an extra 20.5 cm beyond its initial length. How much energy has he transferred to the spring, if the spring constant is 29.6 N/cm? 622 J 62.2 kJ 62.2 J O 622 kJA 0.40-kg mass attached to a spring is pulled back horizontally across a table so that the potential energy of the system is increased from zero to 155 J. Ignoring friction, what is the kinetic energy of the system after the mass is released and has moved to a point where the potential energy has decreased to 70 J?