PHYSICS HIGH SCHOOL

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the centripetal acceleration.

Answers

Answer 1

Answer:

Answer:

$a_c=246.5 (m)/(s^2)$

Explanation:

The formula for centripetal acceleration is:

$a_c=rw^2$

Where,

$r:$ radius.

$w:$ Angular speed.

Angular speed is defined by:

$w=(\Delta\theta)/(\Delta t)$

Where,

$\theta:$ position angle.

$t:$ time.

In this case we have that the object takes 4.0 seconds to complete ten revolutions.

You have to know that 1 revolution = $2\pi rad$ , then

10 revolutions= $10.2\pi rad = 20\pi rad$

Replacing

$\Delta\theta=20\pi rad\n\Delta t=4.0s$

in the formula of Angular speed:

$w=(\Delta\theta)/(\Delta t)\n\nw=(20\pi rad)/(4.0s)$

$w=5\pi (rad)/(s)\nw=15.7(rad)/(s)$

Now we have,

$a_c=rw^2\na_c=r(15.7(rad)/(s))^2$

r=1.0m

$a_c=1.0m(15.7(rad)/(s))^2\n\na_c=1.0(246.5)(m)/(s^2) \n\na_c=246.5(m)/(s^2)$

Then the centripetal acceleration is:

$a_c=246.5 (m)/(s^2)$

Answer 2

Answer: a = ω²r

r = 1 m
ω = 2πf = 2π * 10 / 4 = π*5 s⁻¹

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two vectors of same units have magnitude of 8 unit and 5 unit. what are the maximum and minimum magnitude of resultant that can be obtained with the two vectors?

Answers

Explanation:

Max will be when they are in the same direction: 8 + 5 = 13 units

Min will be when they are in opposite directions 8-5 = 3 units

How does the density of the metal in the crushed can compare with the metals density before the can was Crushed

Answers

dens = mass/volume. after crushing, vol less so density more. the actual density of the metal is the same, density of can changes

Final answer:

The density of a metal can, whether it is crushed or not, remains the same because density is an intrinsic property of matter, dependent only on the mass and volume of the substance. Changing the can's shape alters its volume but does not affect its mass or its density.

Explanation:

The density of a substance is the ratio of its mass to its volume (Density = Mass / Volume). This physical property is intrinsic to the substance, meaning it doesn't change regardless of the quantity or form the material is in.

When you crush a metal can, you're changing its shape and thereby altering its volume. However, the mass remains the same because you haven't removed or added any material. As a result, the density of the metal in the crushed can stays the same as the metal's density before the can was crushed.

Let's consider a practical example: a block of brass and a piece of rebar. Both have the same mass and are made of the same metal, but the block of brass has a larger volume. Nevertheless, the densities of these substances remain constant. That's because density is an intrinsic property, reflecting the compactness of material in a substance. Hence, even though you change the can's shape (thus, its volume), you have no impact on the metal's density.

Learn more about Density here:

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What would be the result of an alpha particle coming into a magnetic field?A) The alpha particle will stop moving.
B) The alpha particle will reverse its direction.
C) The alpha particle will be deflected in a curve path.
Eliminate
D) The alpha particle will continue to travel in a straight line.

Answers

Answer: C) The alpha particle will be deflected in a curve path.

Explanation:

Alpha particle carries +2 charge. It is a Helium ion: He⁺²

When any charged particle enters a magnetic field, it experiences a magnetic force perpendicular to direction of the velocity of the particle and the direction of the magnetic field. Thus, the alpha particle moves in a circular path.

Hence, the correct answer is: The result of an alpha particle coming into a magnetic field is C) The alpha particle will be deflected in a curve path.

The right answer for the question that is being asked and shown above is that: "C) The alpha particle will be deflected in a curve path. " the result of an alpha particle coming into a magnetic field is that C) The alpha particle will be deflected in a curve path.

How much net force is required to accelerate a 50.00kg mass at 4.00 m/s^2

Answers

Answer:

Explanation:

F = m*a = 50 * 4 = 200 N

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