A ball with a mass of #210 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #16 (kg)/s^2# and was compressed by #7/3 m# when the ball was released. How high will the ball go?
The height is
The spring constant is The compression is The potential energy in the spring is This potential energy will be converted to kinetic energy when the spring is released and to potential energy of the ball Let the height of the ball be Then , The potential energy of the ball is
By signing up, you agree to our Terms of Service and Privacy Policy
To find the maximum height the ball will reach, you can use the conservation of mechanical energy principle. The potential energy stored in the compressed spring is converted into kinetic energy when the spring is released. At the maximum height, all of the kinetic energy is converted back into potential energy. Therefore, you can equate the potential energy of the compressed spring to the potential energy of the ball at its maximum height.
The potential energy stored in the compressed spring (Us) is given by:
Us = (1/2) * k * x^2
where k is the spring constant and x is the compression of the spring.
The potential energy of the ball at its maximum height (Ug) is given by:
Ug = m * g * h
where m is the mass of the ball, g is the acceleration due to gravity, and h is the maximum height.
Setting Us equal to Ug and solving for h:
(1/2) * k * x^2 = m * g * h
h = (1/2) * (k/m) * x^2
Substitute the given values:
h = (1/2) * (16/(0.21)) * (7/3)^2
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What factors affect the mechanical advantage of a lever?
- If an object with a mass of #15 kg # changes speed from #8 m/s# to #14 m/s#, by how much does its kinetic energy change?
- What simple machines are combined to make an axe?
- A balanced lever has two weights on it, one with mass #2 kg# and one with mass #8 kg#. If the first weight is # 4 m# from the fulcrum, how far is the second weight from the fulcrum?
- A 337kg crate needs to be lifted to a height of 2.3m using a ramp that is 7.6m long. Ideally, how much work will it take to lift the crate?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7