If your mass is 63.7 kg, and you are standing 7.5 m away from a boulder with
a mass of 9,750.6 kg, what is the gravitational force between you and the
boulder? Newton's law of gravitation is F
Gm m₂. The gravitational
=
gravity
constant G is 6.67 x 10-11 N-m²/kg².

A. 1.10 x 104 N

B. 7.37 x 10-7 N

C. 9.82 x 10-8 N

D. 5.52 x 10-6 N

Please help me!

The time of motion of the track star is determined as 0.837 s.

The time of motion of the track star is calculated as follows;

T = (2u sinθ)/g

where;

T = (2 x 12 x sin20)/9.8

T = 0.837 s

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Explanation:

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The local group of galaxies which the Milky Way belong to is the Virgo Supercluster. C

The Virgo Supercluster as known as the Local Supercluster is a mass concentration of galaxies that contains the Virgo Cluster and Local Group which in turn contains the Milky Way and Andromeda galaxies, as a host as others galaxies.

Therefore, the local group of galaxies which the Milky Way belong to is the Virgo Supercluster.

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The speed of the car moving after 7 seconds will be 31.5 m/sec.

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The given data in the problem is

m is the mass of the car = 1289  Kg.

u is the initial velocity  = 0 m/sec

a is the acceleration in m/sec²

v is the velocity after 7 seconds =?

The power developed is;

P =FV

F=ma

P=maV

183831=1289 kg × a × V

a = 142.61 / V

From Newton's second equation of motion;

V=u+at

V=0+at

V=(142.61/V)t

V²=142.61 × 7

V=31.5 m/sec

Hence, the speed of the car moving after 7 seconds will be 31.5 m/sec.

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The statement that differentiates an audiologist from an anthropologist is that an audiologist examines physical characteristics of humans. That is option C.

Audiologist is an individual that specializes in the diagnosis, treatment and management of hearing loss and balance disorders in adults and children.

An anthropologist is also an individual that studied the past and present experiences of individuals.

Therefore, the statement that differentiates an audiologist from an anthropologist is that an audiologist examines physical characteristics of humans.

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Answer:

337.5m

Explanation:

Kinematics

Under constant acceleration, the kinematic equation holds:

[tex]s=\frac{1}{2}at^2+v_ot+s_o[/tex], where "s" is the position at time "t", "a" is the constant acceleration, "[tex]v_o[/tex]" is the initial velocity, and [tex]s_o[/tex] is the initial position.

Defining Displacement

Displacement is the difference in positions: [tex]s-s_o[/tex] or [tex]\Delta s[/tex]
[tex]s=\frac{1}{2}at^2+v_ot+s_o[/tex]

[tex]s-s_o=\frac{1}{2}at^2+v_ot[/tex]

[tex]\Delta s=\frac{1}{2}at^2+v_ot[/tex]

Using known information

Given that the initial velocity is zero ("skier stands at rest"), and zero times anything is zero, and zero plus anything remains unchanged, the equation simplifies further to the following:

[tex]\Delta s=\frac{1}{2}at^2+v_ot[/tex]

[tex]\Delta s=\frac{1}{2}at^2+(0)*t[/tex]

[tex]\Delta s=\frac{1}{2}at^2+0[/tex]

[tex]\Delta s=\frac{1}{2}at^2[/tex]

So, to find the displacement after 15 seconds, with a constant acceleration of 3.0 m/s², substitute the known values, and simplify:

[tex]\Delta s=\frac{1}{2}at^2[/tex]

[tex]\Delta s=\frac{1}{2}(3.0[\frac{m}{s^2}])(15.0[s])^2[/tex]

[tex]\Delta s=337.5[m][/tex]

Given the data from the question, the goal kicker did not make the field goal.

To determine if the goal kicker makes the field goal, we shall determine the distance (i.e range) travelled by the ball after it was kicked by the kicker. This can be obtained as follow:

R = u²Sine(2θ) / g

R = 20² × Sine (2×60) / 9.8

R = 400 × Sine 120 / 9.8

R = 35.3 m

Since the distance travelled by the ball is 35.3 m and the goal post is situated 47 yard (43 m) away.

Thus, we can conclude that the goal kicker did not make the goal as the ball did not get to the post which is 47 yard (43 m)

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Answer:

Newton's second law states that force is directly proportional to the product of mass and acceleration.

so if you hit a baseball with a bat it will accelerate according to the applied force.

The evidence that astronomers use to prove jets travel in opposite direction is Spectral lines from a very fast moving ionized gases.

Astronomer is a person who study astronomy which is a scientific study that has to do with space, space bodies, comets, planets, stars and so on.

Therefore, The evidence that astronomers use to prove jets travel in opposite direction is Spectral lines from a very fast moving ionized gases.

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Answer:

V initial = 29.4 m.s²

Explanation:

( Using the laws of motion)

V final = V initial + Acceleration × time

0 = V initial + ( -9.8)(3)

29.4 = V initial

* I took upward as positive that's why I substituted -9.8 *

* for V final we know that at maximum height the ball is not moving thats why is = 0 *

Answer:

3 767 400 joules

Explanation:

4.186 J/g-C   is the specific heat of water

25  to 115  is 90 degrees C change

10 000 g   is 10 kg of water

10 000 * 90 * 4.186 = 3 767 400 Joules

Answer:

b

Explanation:

The formula for the energy in a capacitor , u in terms of q and c is q²/2c

The energy of a capacitor u = 1/2qv where

Also, the capacitance of a capacitor c = q/v where

So, v = q/c

Substituting v into u, we have

u = 1/2qv

= 1/2q(q/c)

= q²/2c

So, the formula for the energy in a capacitor , u in terms of q and c is q²/2c

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The maximum and minimum variation between the true and magnetic poles is 180 degrees and 0 degrees respectively.

The poles of the earth are the North and South poles.

The North is taken as the reference point.

The true north is a fixed point on the globe and gives the true North and South poles.

The Magnetic north is the direction that a compass needle points to as it aligns with the Earth's magnetic field and gives the magnetic North and South poles.

The maximum maximum and minimum variation between the true and magnetic poles is 180 degrees and 0 degrees respectively.

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A driver have to stop for a school bus when the red lights are flashing and there is no barrier between his/her vehicle and the bus.

Traffic rules are rules that are expected to follow by the road users for the safety of everyone using the road.

For instance, when the red lights are flashing , it simply means to stop, while the green light means that the vehicle can continue to move, and yellow light means to be at alert to move.

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She can use the information of redshift of a celestial body is to find the age and distance of the object.

'Red shift' is a critical idea for astronomers. The frequency of the light is increased, so the light is observed as moving towards the red side of the range.

Tabitha knows the redshift value of a particular celestial object. She uses this information to observe the consequence of the redshift.

Thus, the red shift value is used to determine the age and distance of the object.

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Answer:

A (the age and distance of the object)

Explanation:

Answer:

4s

Explanation:

when a bOdy rises into the air,the time it takes to reach a particular height is the same as the time it will take the body to fall from that height to the ground.

Answer:

Option B) Displacement

Answer = B

Explanation:

Sustainability is the most appropriate as it means meeting our own needs without compromising the ability of future generations to meet their own needs.

Answer:

12 ml

Explanation:

The initial volume in the cylinder is 20 ml

 adding the rock adds volume to the cylinder

       the new volume is 32 ml .....the increase in volume is the volume of the rock :   32 - 20 = 12 ml    volume of rock

26.676 × 10³ kg is the weight of the aluminum rod.

Given:

Length of cylindrical rod (h) = 45 cm

Diameter of a cylindrical rod = 4.53 cm

Radius of a cylindrical rod (r) = 2.3 cm

The density = 3.7*10^3kg/m^3

Volume of a cylindrical rod = πr²h

                                             = 3.14× (2.3)² × 45

                                             = 747.89 cm

                                             = 7.4789 m

To find weight ;

                         ρ = [tex]\frac{Mass}{Volume}[/tex]                  ; ρ = Density

                        Mass = ρ × Volume

                                  = 3.7 × 7.48 × 10³

                                  =27.676 × 10³ kg

Therefore, the weight of the aluminum rod is 27.676 × 10³ kg.

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Answer:

[tex]\boxed {Density = 4800 kg/m^{3}}[/tex]

Explanation:

Formula :

[tex]\boxed {Density = \frac{Mass (kg)}{Volume (m^{3})}}[/tex]

Convert volume into standard unit :

⇒ 250000 cm³ × 10⁻⁶

⇒ 0.25 × 10⁶ × 10⁻⁶

⇒ 0.25 m³

Solve for density :

⇒ Density = 1200 kg / 0.25 m³

⇒ Density = 1200 × 4 kg/m³

⇒ Density = 4800 kg/m³

A Stable Ride is the main characteristic of a catamaran hull.

Catamaran Hull is a multi-hulled watercraft, which have two parallel hulls of equal size.

The characteristic of a catamaran hull are as follows:

Therefore, Catamarans has a stable ride, according to their characteristic.

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Explanation: A) half wave rectifier

B) Full wave rectifier :

1) central tapped

2) bridge rectifier

i hope this was helpful to you

The speed of Vc at the instant bead collide is 1.38 m/s and the instant speed of Vd at the instant bead collide is 0.106 m/s.

The force of attraction on the beads are due to both gravitational force and electrostatic force

As gravitational force is very weak force as compared to electrostatic force the net force will be due to electrostatic force only.

Net Force = Electrostatic force

Net Force = K q1 q2 / r²

Net Force = (9 × 10⁹) (2.5 × 10⁻⁹) (1 × 10⁻⁹) / (14 × 10⁻³) (as distance between there centre of mass is 14 mm)

Net Force = (9 × 2.5 × 10⁻⁶) / 14

Net Force = 1.6 × 10⁻⁶

For bead c

Force = Mc × Ac = 1.6 × 10⁻⁶

(1 × 10⁻³) × Ac = 1.6 × 10⁻⁶

Ac = 1.6 × 10⁻³

Acceleration of bead C is 1.6 × 10⁻³ m/s²

For bead d

Force = Md × Ad = 1.6 × 10⁻⁶

(1.7 × 10⁻³) × Ad = 1.6 × 10⁻⁶

Ad = 0.94 × 10⁻³

Acceleration of bead D is 0.94 × 10⁻³ m/s²

Let us suppose bead C travels y distance before collision

So bead D should travel 12-y distance before collision

So speed of both the beads before the collision can be find out by using newton third law of motion

For bead C

Vc² - Uc² = 2 Ac s

Vc² = 2 × 1.6 × 10⁻³ × y

Vc² = 3.2 × 10⁻³ × y

Vc = √(3.2 × 10⁻³ × y)

For bead D

Vd² - Ud² = 2 Ad s

Vd² = 2 × 0.94 × 10⁻³ × (12-y)

Vd² = 1.88 × 10⁻³ × (12-y)

Vd = √(1.88 × 10⁻³ × (12-y))

Applying energy conservation

initial = final

0 + 0 = (1/2)McVc² - (1/2)MdVd²

(1/2)McVc² = (1/2)MdVd²

McVc² = MdVd²

1 × 10⁻³ × 3.2 × 10⁻³ × y = 1.7 × 10⁻³ × 1.88 × 10⁻³ × (12-y)

3.2 × y = 3.2 × (12-y)

y = 12-y

2y = 12

y = 6

Putting the value of y in Vc and Vd

Vc = √(3.2 × 10⁻³ × y)

Vc = √(3.2 × 10⁻³ × 6)

Vc = √(19.2 × 10⁻³)

Vc = √0.0192

Vc = 1.38 m/s   (approximately)

Vd = √(1.88 × 10⁻³ × (12-y))

Vd = √(1.88 × 10⁻³ × (12-6))

Vd = √(1.88 × 10⁻³ × 6)

Vd = √(11.28 × 10⁻³)

Vd = √0.01128

Vd = 0.106 m/s   (approximately)

So the speed of Vc at the instant beads collide will be approximately 1.38 m/s and Vd at the instant speed the beads collide will be approximately 0.106 m/s.

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The initial horizontal velocity of the rock, in m/s is 21.241 m/s.

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Time taken by the stone to reach the ground is

t = √2h/g

t = √(2x 86)/9.81

t = 4.19s

The horizontal velocity is

V(x)  = Horizontal distance traveled / Time taken t

Put the values, we get

V(x) = 89 m/4.19 s

V(x) = 21.241 m/s

Thus, the horizontal velocity is 21.241 m/s

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Answer:

energy only

Explanation:

Water waves transfer energy via oscillations of the water molecules, but the the water molecules themselves do not move along the wave.

This is why when the boy jumps into the water, his kinetic energy is transferred by the water molecules across the pool, but neither the boy nor the water particles move along with the wave.