Which of the following is a false statement? Select one: A. For an object on the surface of the Earth, the center of gravity and the center of mass are the same point.
B. For a uniform symmetric object, the center of mass is at the center of symmetry.
C. The center of gravity of an object may be thought of as the "balance point."
D. The center of mass of an object must lie within the object.

Answers

Answer 1

Answer:

Answer:

The false statement is in option 'd': The center of mass of an object must lie within the object.

Explanation:

Center of mass is a theoretical point in a system of particles where the whole mass of the system is assumed to be concentrated.

Mathematically the position vector of center of mass is defined as

$\overrightarrow{r}_(com)=\int \overrightarrow{r}_(i)dm$

where,

$\overrightarrow{r}_(i)$ is the position vector of the mass dm.

As we can see for homogenous symmetrical objects such as a sphere,cube,disc the center of mass is located at the centroid of the shapes itself but in many shapes it is located outside the body also.

Examples of shapes in which center of mass is located outside the body:

1) Horseshoe shaped body.

2) A thin ring.

In many cases we can make shapes of bodies whose center of mass lies outside the body.

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At the local grocery store, you push a 14.5-kg shopping cart. You stop for a moment to add a bag of dog food to your cart. With a force of 12.0 N you now accelerate the cart from rest through a distance of 2.29 m in 3.00 s. What was the mass of the dog food?

Answers

Answer:

The mass of the dog food added is 9.03 kg

Explanation:

Given;

mass of the shopping cart, m₁ = 14.5 kg

let the mass of the bag added = m₂

the force applied, F = 12 N

initial velocity of the cart-bag system, u = 0

distance traveled by the system, d = 2.29 m

time of motion of the system, t = 3.0 s

The acceleration of the system is calculated as;

$d = ut + (1)/(2) at^2\n\n2.29 = 0 + ((1)/(2) * 3^2)a\n\n2.29 = 4.5 a\n\na = (2.29)/(4.5) \n\na = 0.51 \ m/s^2$

The total mass of the system (M) is calculated as follows;

F = Ma

M = F/a

M = (12)/(0.51)

M = 23.53 kg

The mass of the dog food added is calculated as;

m₂ = M - m₁

m₂ = 23.53 kg - 14.5 kg

m₂ = 9.03 kg

An ionic bond form when atoms

Answers

between two ions of opposite charges. In ionic bonding, electrons transfer from one atom to another.

An oil tanker, initially traveling west at 18 km/h is accelerated uniformly until it is traveling east at 21.6 km/h. The acceleration is 0.20 m/s2 towards the east. Compute the total displacement from the tanker’s initial position.Answer in meters.

Answers

Answer:

27.5 m

Explanation:

Given:

u = 18 km/h = 5 m/s

v = 21.6 km/h = 6 m/s

a = 0.20 m/s²

Find: s

v² = u² + 2as

(6 m/s)² = (5 m/s)² + 2 (0.20 m/s²) s

s = 27.5 m

A gyre is a set of currents that form:a. a line
b. a loop
c. weather
d. climate zones

Answers

A gyre is a set of currents that form b. a loop. The circulation of gyres are affected by global wind patterns, landmasses, and the planet's rotation. The circulation is also affected by temperature, as warm water goes up and cold water sinks. There are five major gyres in the world: North Atlantic, South Atlantic, Indian, North Pacific, and South Pacific.

Answer:

The answer is B. a loop hopefully this helps!

If Mike does 25.5 J of work lifting a book 1.5 m onto a shelf what is the mass of the book in kilograms

Answers

lifting the book means that the object gains gravitational potential energy. GPE=mass*gravitational field strength*height, ∴m=GPE/gh, m=25.5/10*1.5=1.7 kg

How do you connect 1 ohm, 2 ohm and 3 ohm resistors to getan equivalent resistance of 5/6 ohm.

Answers

You (or your homework sheet) may be fishing for the answer "connect
the 3 resistors in parallel", but that does not do the job.

When those 3 resistors are connected in parallel, their combined resistance
is 6/11 ohm.

If the 2 and the 3 alone are in parallel, their combination is 6/5 ohms, and
adding the 1 ohm in series makes 2.2 ohms.

If the 1 and the 2 alone are in parallel, their combination is 2/3 , and adding
the 3 in series makes 3 and 2/3 .

If the 1 and the 3 alone are in parallel, their combination is 3/4 , and adding
the 2 in series makes 2.75 .

There is nothing you can do with those 3 resistors, or with any 2 of them,
or with any 1 of them, that will give you 5/6 ohm .

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