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A rock is dropped from a garage roof from rest. the roof is 6.0 m from the ground. determine the velocity of the rock as it hits

Dmitrij [34]

From rest, a rock is dropped from a garage roof. The roof is 6.0 meters above ground level. The rock will reach the earth at a speed of 10.849 meters per second.

<h3>What is velocity?</h3>

The change of displacement with respect to time is defined as the velocity. Velocity is a vector quantity.

it is a time-based component. Velocity at any angle is resolved to get its component of x and y-direction.

Given data:

V(Final velocity)=? (m/sec)

h(height)= 6.0 m

u(Initial velocity)=0 m/sec

g(gravitational acceleration)=9.81 m/s²

Newton's third equation of motion:

$\rm v_y^2 = u_y^2+ 2gh \\\\\rm v_y^2 = 0+ 2gh\\\\\ v_y= \sqrt{2\times 9.81 \ (m/s^2)\times 6.0 (m)} \\\\ v_y=10.849 \ m/sec$

Hence, the velocity of the rock as it hits the ground will be 10.849 m/sec.

To learn more about the velocity refer to the link ;

brainly.com/question/862972

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7 0

2 years ago

What is the difference between Weight and Mass? Please give a fair amount of detail!

Sidana [21]

The mass of an object is a measure of how much stuff it's made of. So it's
a property of the object, like the object's length or color. It doesn't depend on
where the object is located right now, or on what else is around it..

The weight of an object is the measure of the gravitational force between it
and something else. The strength of the force depends on the size of both
masses, and also on how far apart they are. So the weight does depend on
where the object is located right now, and on what else is around it.

I think that sums it up fairly well.

3 0

3 years ago

Read 2 more answers

What process primes a molecule to change in a way that increases its activity, produces motion, or does work

kirza4 [7]

Answer:

cellular respiration.

explanation: cellular respiration, the process by which organisms combine oxygen with foodstuff molecules, diverting the chemical energy in these substances into life-sustaining activities and discarding, as waste products, carbon dioxide and water.

4 0

2 years ago

Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with a force of 64.7 N, Jill pulls with 61.5 N in the

USPshnik [31]

Answer:

F = 241.8 N θ = -18.7

Explanation:

To find the net force, we use Newton's second law, for this we decompose the force using trigonomer

Force 2

F2 = 61.5 N

cos 45 = F₂ₓ / F2 F₂ₓ = F2 cos 45

sin 45 = F₂_y / F2 F₂_y = F2 sin 45

force 3

F3 = 171 N

cos 45 = F₃ₓ / F3

sin 45 = F₃_y / F3

the total force can be found with its components

axis x direction (East-West)

Fₓ = 64.7 +61.5 cos 45 + 171 cos 45

Fₓ = 229.1 N

Y axis (direction North -Sur)

F_y = 61.5 sin 45 - 171 sin 45

F_y = - 77,428 N

the resulting force is

F = Fx i ^ + Fy j ^

F = (229.1 i⁻ 77,428 j⁾ N

we can use the Pythagorean theorem to find the module

F = √ (229.1 2 + 77,428 2)

F = 241.8 N

let's use trigonometry to find the direction

tan θ = F_y / Fₓ

θ = tan⁻¹ (F_y / Fₓ)

θ = tan⁻¹ (-77,428 / 229.1)

θ = -18.7

4 0

3 years ago

The microwaves in a microwave oven are produced in a special tube called a magnetron. The electrons orbit the magnetic field at

Rama09 [41]

Answer:

The magnetic field is 0.0857 T.

Explanation:

The electrons orbit the magnetic field with a centripetal force equal to

F = $\frac{mv^{2} }{r}$

also, the force on an electron in a magnetic field is gotten as

F = Bqv

equating this two equations give

$\frac{mv^{2} }{r}$ = Bqv

mv/r = Bq

where m is the mass of the electron = 9.11 x 10^-31 kg

v is the the linear speed of the electron

B is the magnetic field on the electron

r is the radius of the orbital movement

q is the charge on an electron = 1.602 x 10^-19 C

but, the linear speed v = ωr

where ω is the angular speed of the electron

substituting into equation above, we have

mωr/r = Bq

which reduces to

mω = Bq

finally, w know that the angular speed is related to the frequency of the electron by

ω = 2πf

we then finally have

2mπf = Bq

where f is the frequency emitted by the electron = 2.4 GHz = 2.4 x 10^9 Hz

substituting values into the equation, we have

2 x 9.11 x 10^-31 x 3.142 x 2.4 x 10^9 = B x 1.602 x 10^-19

B = (1.3734 x 10^-20)/(1.602 x 10^-19) = 0.0857 T

= 85.7 mT

7 0

3 years ago