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3 years ago

A distance of 0.002 m separates two objects of equal mass. If the gravitational force between them is

Physics

1 answer:

Alika [10]3 years ago

6 0

Answer: 24.97 kg

Explanation:

The gravitational force between two objects of masses M1, and M2 respectively, and separated by a distance R, is:

F = G*(M1*M2)/R^2

Where G is the gravitational constant:

G = 6.67*10^-11 m^3/(kg*s^2)

In this case, we know that

R = 0.002m

F = 0.0104 N

and that M1 = M2 = M

And we want to find the value of M, then we can replace those values in the equation to get

0.0104 N = (6.67*10^-11 m^3/(kg*s^2))*(M*M)/(0.002m)^2

(0.0104 N)*(0.002m)^2/(6.67*10^-11 m^3/(kg*s^2)) = M^2

623.69 kg^2 = M^2

√(623.69 kg^2) = M = 24.97 kg

This means that the mass of each object is 24.97 kg

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Suppose there is a pendulum with length 5m hanging from a ceiling. A ball of mass 2kg is attached is attached to the bottom of t

Dafna1 [17]

Answer:

1.84 m from the initial point (3.16 m from the ceiling)

Explanation:

According to the law of conservation of energy, the initial kinetic energy of the ball will be converted into gravitational potential energy at the point of maximum height.

Therefore, we can write:

$\frac{1}{2}mv^2 = mg\Delta h$

where

m = 2 kg is the mass of the ball

v = 6 m/s is the initial speed of the ball

g = 9.8 m/s^2 is the acceleration due to gravity

$\Delta h$ is the change in height of the ball

Solving for $\Delta h$ ,

$\Delta h = \frac{v^2}{2g}=\frac{6^2}{2(9.8)}=1.84 m$

So, the ball raises 1.84 compared to its initial height.

Therefore:

- if we take the initial position of the ball as reference point, its maximum height is at 1.84 m

- if we take the ceiling as reference point, the maximum height of the ball will be

5 m - 1.84 m = 3.16 m from the ceiling

7 0

3 years ago

When running a 100 meter race Donald reaches his maximum speed when he is 40 meters from the starting line, and 7 seconds have e

Slav-nsk [51]

Answer:

Part a)

$v_{max} = 7 m/s$

Part b)

$d = 7 \times 3 = 21 m$

Part c)

$d = 61 m$

Part d)

$d = 50.5 m$

Explanation:

As we know that he start from rest and moves with uniform acceleration

so here we can say that

$d = v\Delta t$

as we know here that he move with uniform speed from t = 7 to t = 11

So we will have

$68 - 40 = v(11 - 7)$

$28 = 4 v$

$v_{max} = 7 m/s$

Part b)

If Donald runs for 3 s after reaching his maximum speed

So here distance moved by Donald

$d = v t$

$d = 7 \times 3 = 21 m$

Part c)

Distance of Donald from start line is given as

$d = 40 + 21$

$d = 61 m$

Part d)

Distance from start line after t = 8.5 s

$d = 40 + vt$

$d = 40 + (7)(1.5)$

$d = 50.5 m$

5 0

3 years ago

Read 2 more answers

When rain drops form, the force of gravity pulls them toward the ground. Which statement is correct about this chain of events?(

olga_2 [115]

Answer:

The force of gravity causes the raindrops to accelerate.

4 0

3 years ago

Which element is located in period 3 of the periodic table?

liberstina [14]

Answer:

From the given options, the option (D) is correct. Because Al is the aluminium which is located in period 3 of the periodic table.

Explanation:

We know that the 3rd period contains 8 elements which are as follows:

sodium
magnesium
aluminium
silicon
phosphorus
sulfur
chlorine, and
argon

The sodium and magnesium, the first 2 elements, are members of the s-block of the periodic table, while the rest of the members are the elements of the p-block.

Thus, from the given options, the option (D) is correct. Because Al is the aluminium which is located in period 3 of the periodic table.

3 0

3 years ago

inysia [295]

Hello and Good Morning/Afternoon:

Original Question: C₂H₅OH + __O₂ → __CO₂ + __ H₂O

To balance this equation:

⇒ must ensure that there is an equal number of elements on both sides of the equation at all times

Let's start balancing:

On the left side of the equation, there are 2 carbon molecule

⇒ but only so far one on the right side

C₂H₅OH + __O₂ → 2CO₂ + __ H₂O

On the left side of the equation, there are 6 hydrogen molecules

⇒ but only so far two on the right side

C₂H₅OH + __O₂ → 2CO₂ + 3H₂O

On the right side of the equation, there are 7 oxygen molecules

⇒ but only so far three on the left side

C₂H₅OH + 3O₂ → 2CO₂ + 3H₂O

Let's check and make sure we got the answer:

C₂H₅OH + 3O₂ → 2CO₂ + 3H₂O

2 Carbon ⇔ 2 Carbon

6 Hydrogen ⇔ 6 Hydrogen

7 Oxygen ⇔ 7 oxygen

Thefore the coefficients in order are:

⇒ 1, 3, 2, 3

Answer: 1,3,2,3

Hope that helps!

#LearnwithBrainly

5 0

2 years ago