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2 years ago

Calculate the volume of a 45 kg bucket knowing its density which is 2.7 kg/m3 (cubic meters)

1 answer:

6 0

Given: Mass m = 45 Kg: Density ρ = 2.7 Kg/m³

Required: Volume V = ?

Formula: ρ = m/V

V = m/ρ

V = 45 Kg/2.7 Kg/m³

V = 16.67 m³

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A 70.0Kg cyclist Rides a 15.0kg

Inessa [10]

Answer:

$1275 kg*m/s$

Explanation:

We'll use the momentum equation:

$p=mv$

where:

p = momentum

m = mass

v = velocity

Since we're doing the magnitude of momentum of the system, we'll add the mass of the cyclist and the mountain bike together:

$70.0 kg + 15.0kg=85.0 kg$

Given that, we can now substitute our given values into the momentum equation:

$p=mv\\p=85.0kg*15.0m/s$

Our final answer is:

$p= 1275 kg*m/s$

4 0

2 years ago

From lowest energy to highest energy, which of the following correctly orders the different categories of electromagnetic radiat

Valentin [98]

Answer: The answer is "C"

Explanation:

The electromagnetic waves are arranged in the increasing wavelength and energy by the following order;

Radio waves has the lowest energy and wavelength but of the highest frequency.

The Infra-red rays follows the visible light follows, the ultraviolet ray follows, the X-ray follows and then the Gamma-ray has the highest energy and wavelength but the lowest frequency.

Therefore the answer is C, radio, infra, visible, ultraviolet, x-ray, gamma.

4 0

2 years ago

Read 2 more answers

Claudia stubs her toe on the coffee table with a force of 100.ON. A) What is the

slamgirl [31]

Answer:

A.) acceleration= 55.6m/s^2

B.) acceleration of table= 5.0m/s^2

C.) More acceleration

Explanation:

A.) 100N/1.8kg= -55.6

B.) 100N÷20kg= 5

C.) Because since the table would have less mass, it would have had to accelerate more

7 0

3 years ago

The cheetah is considered the fastest running animal in the world. Cheetahs can accelerate to a speed of 21.7 m/s in 2.50 s and

viktelen [127]

Answer:

1) 64.2 mi/h

2) 3.31 seconds

3) 47.5 m

4) 5.26 seconds

Explanation:

t = Time taken = 2.5 s

u = Initial velocity = 0 m/s

v = Final velocity = 21.7 m/s

s = Displacement

a = Acceleration

1) Top speed = 28.7 m/s

1 mile = 1609.344 m

$1\ m=\frac{1}{1609.344}\ miles$

1 hour = 60×60 seconds

$1\ s=\frac{1}{3600}\ hours$

$28.7\ m/s=\frac{\frac{28.7}{1609.344}}{\frac{1}{3600}}=64.2\ mi/h$

Top speed of the cheetah is 64.2 mi/h

Equation of motion

$v=u+at\\\Rightarrow a=\frac{v-u}{t}\\\Rightarrow t=\frac{21.7-0}{2.5}\\\Rightarrow a=8.68\ m/s^2$

Acceleration of the cheetah is 8.68 m/s²

$v=u+at\\\Rightarrow t=\frac{v-u}{a}\\\Rightarrow t=\frac{28.7-0}{8.68}\\\Rightarrow t=3.31\ s$

It takes a cheetah 3.31 seconds to reach its top speed.

$v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{28.7^2-0^2}{2\times 8.68}\\\Rightarrow s=47.5\ m$

It travels 47.5 m in that time

4) When s = 120 m

$s=ut+\frac{1}{2}at^2\\\Rightarrow 120=0\times t+\frac{1}{2}\times 8.68\times t^2\\\Rightarrow t=\sqrt{\frac{120\times 2}{8.68}}\\\Rightarrow t=5.26\ s$