A bumper car with a mass of 86 kg is traveling at 3.6

When a planet is at its slowest orbital speed, its radius vector sweeps an area, A, in 45 days. What area will the radius vector

MArishka [77]

The area the radius vector will sweep is 0.889A

According to Kepler's second law, the radius vector sweeps out equal areas in equal times.

Let A = area and t = time period,

According to Kepler's law, A/t = constant

So, A₁/t₁ = A₂/t₂ where A₁ = area the radius vector sweeps at slowest orbital speed = A, t₁ = time period at slowest orbital speed = 45 days, A₂ = area the radius vector sweeps at fastest orbital speed, t₂ = time period at fastest orbital speed = 40 days.

Making A₂ subject of the formula, we have

A₂ = A₁t₂/t₁

Substituting the values of the variables into the equation, we have

A₂ = A₁t₂/t₁

A₂ = A × 40 days/45 days

A₂ = A × 40/45

A₂ = A × 8/9

A₂ = A × 0.889

A₂ = 0.889A

So, the area the radius vector will sweep is 0.889A

learn more about Kepler's second law here:

brainly.com/question/4639131

8 0

2 years ago

Rahul runs a distance of 12

Radda [10]

Answer:

Rita runs faster

Explanation:

To obtain the answer to the question given, we determine the speed of Rita. This can be obtained as follow:

Distance = 1.6 km

Time = 15 mins

Speed =?

Next, we shall convert 15 mins to hour. This can be obtained as follow:

60 mins = 1 h

Therefore,

15 mins = 15 mins × 1 h / 60 mins

15 mins = 0.25 h

Thus, 15 mins is equivalent to 0.25 h.

Finally, we shall determine speed of Rita as follow:

Distance = 1.6 km

Time = 0.25 h

Speed =?

Speed = distance / time

Speed = 1.6 / 0.25

Speed = 6.4 Km/h

Thus Rita's speed is 6.4 Km/h

Comparing the speed of Rahul and Rita

Rahul's speed = 4.5 km/h

Rita's speed = 6.4 Km/h

We can see that Rita's speed is greater than Rahul's speed. This simply indicates that Rita runs faster than Rahul.

4 0

3 years ago

An alpha particle can be produced in certain radioactive decays of nuclei and consists of two protons and two neutrons. The part

Varvara68 [4.7K]

Answer:

Explanation:

charge, q = 2e = 2 x 1.6 x 10^-19 C = 3.2 x 10^-19 C

mass, m = 4 u = 4 x 1.661 x 10^-27 kg = 6.644 x 10^-27 kg

Radius, r = 4.5 cm = 0.045 m

Magnetic field, B = 1.20 T

(a) Let the speed is v.

$v=\frac{Bqr}{m}$

$v=\frac{1.20\times 3.2\times 10^{-19}\times 0.045}{6.644\times 10^{-27}}$

v = 2.6 x 10^6 m/s

(b) Let T be the period of revolution

$T=\frac{2\pi r}{v}$

$T=\frac{2\times 3.14\times 0.045}{2.6\times 10^{6}}$

T = 1.09 x 10^-7 s

(c) The formula for the kinetic energy is

$K=\frac{B^{2}\times q^{2}\times r^{2}}{2m}$

$K=\frac{\left ( 1.20\times 3.2 \times 10^{-19}\times 0.045 \right )^{2}}{2\times 6.644\times 10^{-27}}$

K = 2.25 x 10^-14 J

(d) Let the potential difference is V.

K = qV

$V = \frac{K}{q}$

$V= \frac{2.25\times 10^-14}{3.2\times 10^{-19}}$

V = 70312.5 V

5 0

3 years ago

1. Is the image projected on a movie screen real or virtual? What about the image of yourself seen in a bathroom mirror?

antiseptic1488 [7]

Answer: 1. The movie one is virtual and the bathroom mirror is real

2. The image is distorted in a way

3. Behind the spoon

Explanation:

7 0

1 year ago

A projectile is launched from the ground at an angle of 60o above the horizontal. At what point in its trajectory does it have t

Elodia [21]

Answer:

It's constant everywhere in its trajectory.

Explanation:

the projectile was launched with an initial velocity, the only acceleration that is affecting the projectile's velocity is gravity.

The acceleration of gravity is practically equal everywhere on earth, so during its trajectory, we have to take into consideration only the acceleration because of gravity.

This is only correct because the projectile was launched with an initial velocity and it's not accelerating from rest and then falls.

5 0

2 years ago