What information and measurements would you need to calculate the rate of movement?

1 answer:

8 0

When you talk about rate, you will expect that it will be in terms of a time unit. It measures how fast it is going. So, you would expect that the denominator is in time units. For the movement, you can measure this with either distance or velocity.

So, for the first variety, you would need distance and time to measure the rate of how far you go at a certain time. It is also called as velocity. For the second variety, you would need velocity and time to measure the rate of how fast you are going at a certain interval. It is also called as acceleration.

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Imagine a spring made of a material that is not very elastic, so that the spring force does not satisfy Hooke’s Law, but instead

Aliun [14]

Answer:

W = -1.152 mJ

Explanation:

given,

F = −α x + β x³

α = 5.2 N/m and β = 700 N/m³

Work done = ?

length of stretch = ?

we know,

W = F . ds

$W = \intF . dx$

$W = \int_0^{0.12} (-\alpha x + \beta x^3).dx$

$W = \int_0^{0.12}(-5.2 x +700 x^3).dx$

$W = [\dfrac{-5.2x^2}{2} +700\dfrac{x^4}{4}]_0^{0.12}$

now,

$W = [\dfrac{-5.2(0.12)^2}{2} +700\dfrac{(0.12)^4}{4}]$

W = -0.001152 J

W = -1.152 mJ

work done by the spring is equal to W = -1.152 mJ

8 0

4 years ago

A 0.500 kg ball is dropped from rest at a point 1.20 m above the floor. The ball rebounds straight upward to a height of 0.700 m

KatRina [158]

To solve this problem we will apply the concepts related to energy conservation. With this we will find the speed before the impact. Through the kinematic equations of linear motion we will find the velocity after the impact.

Since the momentum is given as the product between mass and velocity difference, we will proceed with the velocities found to calculate it.

Part A) Conservation of the energy

$mgh = \frac{1}{2} mv^2$