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3 years ago

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A boy and a girl are on a spinning merry-go-round. The boy is at a radial distance of 1.2 m from the central axis; the girl is a

t a radial distance of 1.8 m from the central axis. Which is true?A- Boy and girl have zero tangential and angular accelerations.B- The girl has a larger angular acceleration than the boy.C- The boy has a larger tangential acceleration than the girl.D- The boy has a larger angular acceleration than the girl.E- The girl has a larger tangential acceleration than the boy.

1 answer:

Licemer1 [7]3 years ago

8 0

Answer:

E) True. The girl has a larger tangential acceleration than the boy.

Explanation:

In this exercise they do not ask us to say which statement is correct, for this we propose the solution to the problem.

Angular and linear quantities are related

v = w r

a = α r

the boy's radius is r₁ = 1.2m the girl's radius is r₂ = 1.8m

as the merry-go-round rotates at a constant angular velocity this is the same for both, but the tangential velocity is different

v₁ = w 1,2 (boy)

v₂ = w 1.8 (girl)

whereby

v₂> v₁

reviewing the claims we have

a₁ = α 1,2

a₂ = α 1.8

a₂> a₁

A) False. Tangential velocity is different from zero

B) False angular acceleration is the same for both

C) False. It is the opposite, according to the previous analysis

D) False. Angular acceleration is equal

E) True. You agree with the analysis above,

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Two identical cars are traveling at the same speed. One is heading due east and the other due north, as the drawing shows. Which

VMariaS [17]

Answer:

A) They have the same kinetic energies, but different momenta.

Explanation:

Before answering, let's remind that:

- Kinetic energy is a scalar quantity, which is given by:

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

where m is the mass of the object and v is the speed.

- Momentum is a vector quantity, whose magnitude is given by:

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where m is the mass of the object and v is the velocity, and whose direction is the same as the velocity.

By looking at the two definitions, we can say that:

- the two cars have same kinetic energy, because they have same mass and same speed

- The two cars have different momenta, because they do not have same velocity (in fact, their directions are different, since one is heading east and the other one is heading north)

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3 years ago

Consider a large spring, hanging vertically, with spring constant k = 3220 N/m. If the spring is stretched 25.0 cm from equilibr

Olegator [25]

Answer:

m = 82.1 kg

Explanation:

For this exercise we must use Hook's law that states that the force exerted by a spring is proportional to the displacement

Fe = -k x

Let's use Newton's second law to establish equilibrium, the elastic force up and the body weight down

Fe - W = 0

Fe = W = mg

k x = m g

m = k x / g

Let's reduce the distance to SI units

x = 25 cm (1 m / 100cm) = 0.250 m

m = 3220 0.250 /9.8

m = 82.1 kg

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Find the mass of a person walking west at a speed of 0.8 m/s with a momentum of 52.0 kg.m/s west.

KIM [24]

Answer:

mass of the person walking to west is 65 kg.

Given:

Momentum = 52 $\frac{kg m}{s}$

Speed = 0.8 $\frac{m}{s}$

To find:

Mass of the person = ?

Formula used:

Momentum is given by,

P = m × v

Where, P = momentum

m = mass

v = speed

Solution:

Momentum is given by,

P = m × v

Where, P = momentum

m = mass

v = speed

Mass = $\frac{P}{v}$

m = $\frac{52}{0.8}$

m = 65 kg

Thus, mass of the person walking to west is 65 kg.

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Georgia [21]

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