# A ball with a mass of #420 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #35 (kg)/s^2# and was compressed by #5/4 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

The mass of the ball is

The height is

By signing up, you agree to our Terms of Service and Privacy Policy

Use the energy conservation principle to find the maximum height:

[ H = \frac{mgh}{k} ]

where ( m = 0.42 \ \text{kg} ) (mass of the ball), ( g = 9.8 \ \text{m/s}^2 ) (acceleration due to gravity), ( h = 5/4 \ \text{m} ) (compression of the spring), ( k = 35 \ \text{(kg)/s}^2 ) (spring constant).

[ H = \frac{(0.42)(9.8)(5/4)}{35} ]

[ H \approx 0.56 \ \text{m} ]

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.

- How much power is needed to accelerate an object with a mass of #6# # kg# and a velocity of #3# # ms^-1# at a rate of #1# # ms^-2#?
- A ball with a mass of #650 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 #3/5 m# when the ball was released. How high will the ball go?
- What is the kinetic energy of an object with a mass of #7 kg# that has been in freefall for #3 s#?
- A balanced lever has two weights on it, the first with mass #72 kg # and the second with mass #9 kg#. If the first weight is # 4 m# from the fulcrum, how far is the second weight from the fulcrum?
- A wrench with a length of #24 cm# is being used to unscrew a #3 cm# bolt. If a torque of #88 Nm# is needed to overcome the friction keeping the bolt in place, what is the minimum torque that must be applied to the wrench to unscrew the bolt?

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