If a net force accelerates a 4.5-kg tool at 40 m/s2, what acceleration would that same net force give to an 18-kg tool?

A raindrop has a mass of 7.7 × 10-7 kg and is falling near the surface of the earth. Calculate the magnitude of the gravitationa

goldfiish [28.3K]

Given that the mass of the raindrop is

$m=7.7\times10^{-7}\text{ kg}$

The acceleration due to gravity is g = 9.81 m/s^2

We have to find

(a) Magnitude of the gravitational force exerted on the raindrop by earth

(b)Magnitude of the gravitational force exerted on the earth by the raindrop

(a) The formula to calculate the magnitude of the gravitational force exerted on the raindrop by the earth is

$F=mg$

Substituting the values, the gravitational force exerted on the raindrop by the earth is

$\begin{gathered} F=7.7\times10^{-7}\times9.81 \\ =7.55\times10^{-6}\text{ N} \end{gathered}$

(b) According to Newton's third law,

If F' is the gravitational force exerted on the earth by the raindrop, then

$F=-F^{\prime}$

Here, the negative sign indicates that both forces act in opposite direction.

The gravitational force exerted on the earth by the raindrop is

$F^{\prime}\text{ = -7.55}\times10^{-6}\text{ N}$

And the magnitude of the gravitational force exerted on the earth by the raindrop is

$7.55\times10^{-6}\text{ N}$

Thus, the magnitude of both forces is equal.

5 0

1 year ago

Define stress engineering science

kiruha [24]

Answer:

Stress, in physical sciences and engineering, force per unit area within materials that arises from externally applied forces, uneven heating, or permanent deformation and that permits an accurate description and prediction of elastic, plastic, and fluid behaviour.

I hope it's helpful!

7 0

3 years ago

What can one say for sure about element #99, Einsteinium (Es))? a) There's no such element! b) It is an alkali metal. c) It is r

Dmitrij [34]

Answer:

Option (C)

Explanation:

Einsteinium is an element of the periodic table grouped in the Actinide series, with atomic number 99. They are dense element and highly electro-positive. <u>They are highly radioactive</u>, i.e the atoms within the element are unstable and constantly decay until they reach a stable environment. It has 99 number of electrons and protons, 153 number of neutrons.

Due to its high radioactivity, they are health hazardous and can used in making nuclear weapons but their uses are very limited and unknown.

Thus, the correct answer is option (C).

8 0

4 years ago

A railroad tank car contains milk and rolls at a constant speed along a level track. The milk begins to leak out the bottom. The

kifflom [539]

Answer:

option C

Explanation:

The correct answer is option C

There is no external force acting in the system hence the momentum will be conserved.

As the milk is leaking out of the tank mass of the tanker is decreasing.

When the mass of the container will decrease to conservation the momentum speed of the container will have to be increased.

So, the car carrying milk will speed up.

8 0

3 years ago

A 0.45 kg soccer ball changes its velocity by 20.0 m/s due to a force applied to it in 0.10 seconds. What force was necessary fo

Sonja [21]

For this problem, we will need the famous equation F=ma, as detailed by Isaac Newton.

F=mass x acceleration, where Force is in Newtons.

20 m/s represents the quantity of speed change, but to use in the equation, we need acceleration, not speed. Acceleration is the velocity change over a unit time, so changing 20 m/s in 0.1 seconds means that the acceleration was 200 m/s^2.

Plugging in all your numbers, you find:

F=(0.45 kg)(200 m/s^2) = 90 N of force.

6 0

3 years ago