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masha68 [24]
3 years ago
14

Two objects have masses me and my and their centers are separated by a distance d. The force of gravitation

Physics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

G is a universal constant of gravitation whose unit is Newton per meter square per kilogram square (Nm^2kg^-2)

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Consider two objects (Object 1 and Object 2) moving in the same direction on a frictionless surface. Object 1 moves with speed v
d1i1m1o1n [39]

1) A) Object 1 has the greater momentum

The magnitude of the momentum of an object is given by:

p=mv

where

m is the mass of the object

v is its speed

Object 1 has a mass of m_1 = 2m and a speed of v_1 = v, so its momentum is

p_1 = m_1 v_1 = (2m)(v)=2mv

Object 2 has a mass of m_2 = m and a speed of v_2 = \sqrt{2} v, so its momentum is

p_2 = m_2 v_2 = (m)(\sqrt{2} v)=\sqrt{2}mv

So we see that p_1 > p_2, so object 1 has the greater momentum.

2) The objects have the same kinetic energy.

The kinetic energy of an object is given by

K=\frac{1}{2}mv^2

where

m is the mass of the object

v is its speed

Object 1 has a mass of m_1 = 2m and a speed of v_1 = v, so its kinetic energy is

K_1 = \frac{1}{2}m_1 v_1^2 = \frac{1}{2}(2m)(v)^2=mv^2

Object 2 has a mass of m_2 = m and a speed of v_2 = \sqrt{2} v, so its kinetic energy is

K_2 = \frac{1}{2}m_2 v_2^2 = \frac{1}{2}(m)(\sqrt{2} v)^2=mv^2

So we see that K_1 =K_2, so the objects have same kinetic energy

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3 years ago
Beginning 145 miles directly south of the city of Hartville, a car travels due west. If the car is travelling at a speed of 42 m
ziro4ka [17]

Answer:

The rate of change of the distance is 14.89.

Explanation:

Given that,

Distance = 145 miles

Speed of car = 42 miles/hr

Distance covered by car = 55 miles

We need to calculate the the rate of change of the distance

According to figure,

Let OA is x, and AB is y.

Now, using Pythagorean theorem

x^2=y^2+145^2

On differentiating

2x\dfrac{dx}{dt}=2y\dfrac{dy}{dt}

\dfrac{dx}{dt}=\dfrac{y}{x}\dfrac{dy}{dt}

\dfrac{dx}{dt}=\dfrac{55\times42}{\sqrt{55^2+145^2}}

\dfrac{dx}{dt}=14.89\ miles/hr

Hence, The rate of change of the distance is 14.89.

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