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Natalija [7]
3 years ago
7

Gravitational potential energy (Eg) and kinetic energy (Ek)

Physics
2 answers:
STatiana [176]3 years ago
6 0

Answer:

hope it will help you

Explanation:

madreJ [45]3 years ago
4 0

Answer:

\boxed {\boxed {\sf E_K= \ 5,040 \ J}}

Explanation:

Kinetic energy is the energy an object possesses due to motion. It is calculated using the following formula:

E_K= \frac{1}{2} mv^2

The mass of the athlete is 70.0 kilograms. The velocity is 12 meters per second.

  • m= 70.0 kg
  • v= 12 m/s

Substitute the values into the formula.

E_K= \frac{1}{2} (70.0 \ kg)(12 \ m/s)^2

Solve the exponent.

  • (12 m/s)² = (12 m/s)(12 m/s) = 144 m²/s²

E_K= \frac{1}{2} (70.0 \ kg)(144 \ m^2/s^2)

Multiply the numbers together.

E_K= \frac{1}{2} (10, 080 \ kg*m^2/s^2)

E_K= 5,040 \ kg*m^2/s^2

Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule, so our answer is equal to 5,040 Joules.

E_K= 5.040 \ J

The athlete has <u>5,040 Joules</u> of kinetic energy.

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A cannon is mounted on a cart which sits on the ground, supported by frictionless wheels. The mass of the cannon and cart is 4.6
Kitty [74]

Answer:

The velocity of the launcher after the projectile is launched is  -5.011 m/s

Explanation:

Here we have the mass of the cannon and cart, m₁ =  4.65 kg

Velocity of cannon and cart, v₁ = 2.00 m/s

Mass of projectile, m₂ = 50.0 g = 0.05 kg

Velocity of projectile, v₂ = 647 m/s

Velocity of the launcher, v₃ = Required

Mass of cannon and cart, launcher after launching projectile m₃ = 4.65-0.05

= 4.6 kg

Therefore, from the principle of the conservation of linear momentum, we have

Total initial momentum = Total final momentum

m₁ × v₁ = m₂ × v₂ + m₃ × v₃

Substituting gives

4.65 kg × 2.00 m/s = 0.05 kg × 647 m/s + 4.6 kg × v₃

4.65 kg × 2.00 m/s - 0.05 kg × 647 m/s = 4.6 kg × v₃

-23.05 kg·m/s = 4.6 kg × v₃

v_3 = \frac{-23.05 \, kg\cdot m/s}{4.6 \, kg} =  \frac{-461}{92} m/s

v₃ = -5.011 m/s.

3 0
3 years ago
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A block of mass 200g is oscillating on the end of a horizontal spring of spring constant 100 N/m and natural length 12 cm. When
malfutka [58]

In order to determine the acceleration of the block, use the following formula:

F=ma

Moreover, remind that for an object attached to a spring the magnitude of the force acting over a mass is given by:

F=kx

Then, you have:

ma=kx

by solving for a, you obtain:

a=\frac{kx}{m}

In this case, you have:

k: spring constant = 100N/m

m: mass of the block = 200g = 0.2kg

x: distance related to the equilibrium position = 14cm - 12cm = 2cm = 0.02m

Replace the previous values of the parameters into the expression for a:

a=\frac{(\frac{100N}{m})(0.02m)}{0.2\operatorname{kg}}=10\frac{m}{s^2}

Hence, the acceleration of the block is 10 m/s^2

8 0
1 year ago
A truck with 0.410 m radius tires travels at 25.0 m/s. What is the angular velocity of the rotating tires in radians per second?
Eduardwww [97]

relation between linear velocity and angular velocity is given as

v = R\omega

here

v = linear speed

R = radius

\omega = angular speed

now plug in all data in the equation

25.0 = 0.410 \omega

\omega  = \frac{25}{0.410}

\omega = 60.9 rad/s

so rotating speed is 60.9 rad/s

6 0
3 years ago
Joe balances a stationary coin on the the tip of his finger 20 cm from the top of the table. How much work is Joe doing?
adell [148]

The work done by Joe is 0 J.

<u>Explanation</u>:

When a force is applied to an object, there will be a movement because of the applied force to a certain distance. This transfer of energy when a force is applied to an object that tends to move the object is known as work done.

The energy is transferred from one state to another and the stored energy is equal to the work done.

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where F represents the force in newton,  

          D represents the distance or displacement of an object.

Force = 0 N,   D = 20 cm = 0.20 m

                                 W = 0 \times 0.20 = 0 J.

Hence the work done by Joe is 0 J.

7 0
3 years ago
Money is not a medium of exchange for acquiring goods and services.<br> a. True<br> b. False
bonufazy [111]

False, money is a medium of exchange to acquire goods and services.

Depending on what you want to cancel, it is advisable to pay with cash or bank transfer.

Also, it is important to know that each country has its own exchange currency.

In the United States, the currency is the dollar.

In Europe, the currency is the euro.

Answer:

b. False

7 0
3 years ago
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