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4 years ago

A marble rolls off a table with a speed of 2.30 m/s. If the table is 1.12 m high, how far from the

Physics

1 answer:

Vlada [557]4 years ago

6 0

Answer:

1.10 m

Explanation:

First, find the time it takes to land.

Given, in the y direction:

Δy = 1.12 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

(1.12 m) = (0 m/s) t + ½ (9.8 m/s²) t²

t = 0.478 s

Next, find the distance traveled in that time.

Given, in the x direction:

v₀ = 2.30 m/s

a = 0 m/s²

t = 0.478 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (2.30 m/s) (0.478 s) + ½ (0 m/s²) (0.478 s)²

Δx = 1.10 m

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3 years ago

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While running, a person dissipates about 0.60 J of mechanical energy per step per kilogram of body mass. If a 61 kg person devel

liraira [26]

Answer:

2.66m/s

Explanation:

information we have

power: 65W

work per step per kilogram: 0.60J

mass: 61kg

length of a running step: 1.5m

---------------

the formula for power is:

$P=\frac{W}{t}$

where W is the work and t is time.

time is also defined as: $t=\frac{distance}{velocity}=\frac{d}{v}$

so substituting this into the formula for power we get:

$P=\frac{W*v}{d}$

where v is the velocity we are looking for, d is the distance per step: $d=1.5m$ , W is the work per step and P is power $P=65W$ .

we know that the work per step per kilogram is:

0.60J

so to find the work per step of his whole body we need to multiply the 0.60J by the 61 kilograms of his mas:

$W=0.60J*61kg\\W=36.6J$ this is the work per step of the person.

So now we can calculate the velocity using the formula for power

$P=\frac{W*v}{d}$

clearing for v:

$v=\frac{P*d}{W}\\$

and substituting known values:

$v=\frac{(65W)(1.5m)}{36.6J}= 2.66m/s$

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3 years ago

What is the mass of a bowling ball if it has a weight of 80N?

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8.1577297 Kilograms :)

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3 years ago

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wich following is not use of doppler effect? a, radar b, astronomy c, energy transmission d, blood floe measurment

ElenaW [278]

Answer:

I believe the answer is D

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3 years ago

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 13-m-hi

Andrew [12]

Answer:

22.15 N/m

Explanation:

As we know potential energy = m*g*h

Potential energy of spring = (1/2)kx^2

m*g*h = (1/2)kx^2

Substituting the given values, we get -

(400)*(9.8)*(10) = (0.5)*(k)*(2.0^2)

k = 39200/2.645

k = 19600 N/m

For safety reasons, this spring constant is increased by 13 % So the new spring constant is

k = 19600 * 1.13 = 22148 N/m = 22.15 N/m

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3 years ago