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3 years ago

Calculate the potential energy of a rock that has a 45 kg mass and is sitting

Physics

1 answer:

Montano1993 [528]3 years ago

6 0

Answer:

P.E = 13230 J

Explanation:

Given,

The mass of the rock, m = 45 Kg

The rock is sitting at a height from the ground, h = 30 m

The acceleration due to gravity, g = 9.8 m/s²

The potential energy of the body is given by the formula,

P.E = mgh joules

Substituting the given values in the above equation

P.E = 45 x 9.8 x 30

= 13230 J

Hence, the potential energy of the rock is P.E = 13230 J

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The frequency of a sound wave was measured to be 351 Hz. If you know that the speed of sound in air was 343 m/s, then determine

netineya [11]

Answer:

wavelength of the sound wave will be 0.977 m

Explanation:

We have given frequency of the sound wave f = 351 Hz

Speed of the sound wave v = 343 m/sec

We have to find the wavelength of the sound wave

We know that velocity of the sound wave is given by $v=\lambda f$

So wavelength of the sound wave $\lambda =\frac{v}{f}=\frac{343}{351}=0.977m$

So wavelength of the sound wave will be 0.977 m

4 0

3 years ago

A boat with a mass of 1000 kg drifts with the current down a straight section of river parallel to the +x+x axis with a speed of

IrinaK [193]

Answer:

Explanation:

Our values are defined by,

$m=1000kg\\v = 2m/s\\a = 2.7 \angle 45\°$

We can express also in a vectorial way, then

$v=2\hat{i} \rightarrow$ no values in $\hat{j}$

Acceleration as follow,

$a= 2.7cos45 \hat{i} + 2.7 sin45 \hat{j}$

We know that velocity is given by,

$V(t) = v_0+at \rightarrow v_0 = 2$

We need to calculate for t=3, then

$v(3) = 2\hat{i} +(2.7cos45 \hat{i} + 2.7 sin45 \hat{j})*3$

$v(3) = (2\hat{i}+3*2.7cos45 \hat{i})+(3*2.7 sin45 \hat{j})$

$v(3) = (2+3*2.7cos45)\hat{i}+(5.7 sin45 )\hat{j}$

$v(3) = 7.7\hat{i}+5.7\hat{j}$

Our mass is 1000Kg, so the momentum is

$P = mv$

$P= 1000(7.7\hat{i}+5.7\hat{j})$

$P=7700\hat{i}+5700\hat{j}$

7 0

4 years ago

A satellite is orbiting earth at a distance of 35.0 kilometers. The satellite has a mass of 500 kilograms. What is the force bet

Alika [10]

Answer:

F = 4856.32 N

Explanation:

Given,

A satellite is orbiting earth at a distance from Earth surface, h = 35000 m

The mass of the satellite, m = 500 Kg

The radius of the Earth, R = 6.371 x 10⁶ m

The mass of the Earth, M = 5.972 x 10²⁴ Kg

The gravitational constant, G = 6.67408 x 10 ⁻¹¹ m³ kg⁻¹ s⁻²

The force between the Earth and the satellite is given by the formula

F = GMm/(R+h)² N

Substituting the values in the above equation

F = (6.67408 x 10 ⁻¹¹ X 5.972 x 10²⁴ X 500) / (6.371 x 10⁶ + 35000)²

= 4856.32 N

Hence, the force between the planet and the satellite is, F = 4856.32 N

5 0

3 years ago

A 70 kg student now sits in the chair and the same 35 N force is applied to the chair. What is the chair's new acceleration?

amid [387]

Answer:

0.5 m/s²

Explanation:

Applying,

F = ma............... Equation 1

Where F = Force applied to the chair, m = mass of the student, a = acceleration of the chair

make a the subject of the equation

a = F/m............ Equation 2

From the question,

Given: F = 35 N, m = 70 kg

Substitute these values into equation 2

a = 35/70

a = 0.5 m/s²

Hence the new acceleration of the chair is 0.5 m/s²

5 0

3 years ago

When heat is added to a substance, describe how the molecules are affected. Use the words kinetic energy and potential energy ap

shepuryov [24]

When heat is added to a substance, the molecules increase kinetic energy. in other words, the particules speed up.

3 0

4 years ago