Calculate the spring constant of the ball when it has an elastic potential store of 0.54 J, after being compressed by 0.23m._____ N/mGive your answer to 2 significant figures.
Question
Calculate the spring constant of the ball when it has an elastic potential store of 0.54 J, after being compressed by 0.23m._____ N/mGive your answer to 2 significant figures.
Solution 1
The spring constant (k) can be calculated using the formula for elastic potential energy:
E = 0.5 * k * x^2
where E is the elastic potential energy, k is the spring constant, and x is the displacement (compression).
We can rearrange this formula to solve for k:
k = 2E / x^2
Substituting the given values:
k = 2 * 0.54 J / (0.23 m)^2
k = 1.08 J / 0.0529 m^2
k = 20.415 N/m
Rounded to two significant figures, the spring constant is 20 N/m.
Solution 2
The spring constant can be calculated using the formula for elastic potential energy:
E = 0.5 * k * x^2
where: E is the elastic potential energy, k is the spring constant, x is the displacement.
We can rearrange this formula to solve for k:
k = 2E / x^2
Substituting the given values:
k = 2 * 0.54 J / (0.23 m)^2
k = 1.08 J / 0.0529 m^2
k = 20.416 N/m
Rounding to two significant figures, the spring constant k is approximately 20 N/m.
Similar Questions
The ball has a mass of 1.8 kg. It currently is compressed by 18 cm.Calculate the total amount of energy transferred to the thermal energy store, if only 28.5 J of the energy stored as elastic potential energy is transferred to the kinetic energy store.Spring constant of the ball is 2500 N/m.You must include units in your answer.
A spring has a spring constant of 53 N/m. How much elastic potential energy is stored in the spring when it is compressed by 0.21 m?A.11.1 JB.1.17 JC.2.33 JD.5.57 JSUBMITarrow_backPREVIOUS
A ball with a mass of 0.3 kg is compressed by 23 cm.What will be the total amount of kinetic energy stored in the ball the moment it leaves the ground (assuming 100% of the energy is transferred to kinetic energy)?Spring constant of the ball is 2700 N/m.Give your answer to 2 significant figures.
Prince stretched a circular spring with a spring constant of 3 N/m until it was extended to 50cm. What is the elastic potential energy of the spring stretched by Prince/ stored by the spring?2. How much elastic potential energy does a spring store when it is compressed by 0.2 m if ithas a spring constant of 5 N/m?3. What is the elastic potential energy stored in a spring whose spring constant is 160 N/m when itis 8.0 cm compressed?
A 25.0 cm tall spring is compressed by 12 mm when a 1.00 kg mass is placed on it.(i) (1 mark)Determine the spring constant of the spring.(ii) (1 mark)Calculate the elastic potential energy stored in the spring.(iii) (1 mark)Where did the energy stored in the spring 'come from'?(iv) (2 marks)The spring is now placed horizontally on a frictionless surface with one end attached to a wall and a 740 g mass attached to the other end. The mass is given a push to set it oscillating. What is the frequency of oscillation?(v) (2 marks)A pendulum is placed above the mass-spring system and the bob oscillates back and forth exactly in time with the mass. How long is the pendulum?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.