A 35 N force makes a 10 degree angle with the positive x-axis. What is the magnitude of the vertical component of the force?

We are given:

Radius of Venus=  6 * 10⁶ m

Height above the planet's ground = 9.4 * 10⁶ m

Mass of Venus = 4.867 * 10²⁴ kg

Finding the Gravitational Field:

We first need to calculate the distance between the center of masses

Distance between center of masses:

Since the point is above the surface of Venus, the radius of Venus and the height will add

Distance between the center of masses = 9.4*10⁶ + 6 * 10⁶

Distance (r) = 15.4 * 10⁶ m

Now back to Gravitational field!

We know the formula for Gravitational Field:

g = GM / r² [where g is the gravitational field, M is the mass of the planet, r is the distance between the center of masses and G is the gravitational constant]

plugging the known values in the formula:

g = (6.67 * 10⁻¹¹ * 4.867 * 10²⁴) / (15.4*10⁶)²       [G = 6.67*10⁻¹¹ Nm²/kg²]

g = (32.46 * 10¹³) / (237 * 10¹²)

g = (32.46 * 10¹³) / (23.7 * 10¹³)

g = 32.46/23.7                                                   [the 10¹³ got cancelled out]

g = 1.367 N/kg² (or m/s²)

Answer:

44J

Explanation:

Given parameters:

Mass of rock  = 0.22kg

Initial velocity  = 20m/s

Distance moved  = 10m

Unknown:

Initial kinetic energy of the rock  = ?

Solution:

To solve this problem, we need to understand that kinetic energy is the energy due to the motion of a body.

It is mathematically expressed as;

     Kinetic energy  = [tex]\frac{1}{2}[/tex] m v²

m is the mass

v is the velocity

   Kinetic energy  =  [tex]\frac{1}{2}[/tex] x 0.22 x 20²   = 44J

Answer:

1.27seconds

Explanation:

Speed = 324 m/s , Distance = 411.48m

Time = Distance/Speed

Time = 411.48/324 seconds

Time = 1.27seconds ( Ans)

Answer:

b. Comfortable pair of athletic shoes.

Explanation:

Analyzing the information and the options, the fitness product that would most assist Sergio in reaching his weight loss goals would be the pair of comfortable sports shoes, which he could use to do running exercises.

For beginning practitioners it is ideal to start exercising with short 30-minute walks until the body adapts and you gain physical conditioning and endurance.

Running has the advantage of being an excellent exercise that can be practiced anywhere, and helps in the production of dopamine, which produces a feeling of well-being and also helps in reducing hunger, in addition to working and strengthening various muscle groups in the body, activate blood circulation, decrease anxiety, improve cholesterol levels, control blood pressure, etc.

Answer:

b. Comfortable pair of athletic shoes.

Explanation:

Answer:

I would say increasing the balls kinetic energy

Explanation:

Because she is moving the ball and increasing kinetic energy

Answer:

3.3kg

Explanation:

Given parameters:

Spring constant = 400N/m

Extension  = 8cm  = 0.08m

Unknown:

Amount of mass the spring is supporting  = ?

Solution:

To solve this problem:

     F  = kE

F is the force

k is the spring constant

E is the extension

  So;

            F  = 400 x 0.08  = 32N

Mass;

       Force  = mass x acceleration due to gravity

          32  = mass x 9.8

  Mass = 3.3kg

The mass the spring is supporting is 3.27 Kg.

We'll begin by calculating the force acting on the spring.

F = Ke

F = 400 × 0.08

F = 32 N

Finally, we shall determine the mass. This can be obtained as follow:

m = F / g

m = 32 / 9.8

m = 3.27 Kg

Therefore, the mass the spring is supporting is 3.27 Kg

Learn more about spring constant:

https://brainly.com/question/13511965

Answer:

All extended structure compounds form cubes. Sodium and chlorine atoms both have cubical shapes. In the extended structure of NaCI, atoms are arranged in a cubical pattern