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1 year ago

A cyclist starts at rest and accelerates at 0.5 m/s2 south for 20 s. What is the cyclist’s final velocity

Physics

1 answer:

inn [45]1 year ago

8 0

The cyclist's final velocity is 10 m/s.

From the question,

We are to determine the cyclist's final velocity.

<h3>Linear motion</h3>

From one of the equations of motion for linear motion, we have

$v=u+at$

Where

v is the final velocity

u is the initial velocity

a is the acceleration

and t is the time

From the given information,

The cyclist starts at rest, this means the initial velocity is 0 m/s

That is,

u = 0 m/s

Also

a = 0.5 m/s²

and t = 20 s

Putting the parameters into the equation, we get

$v = 0 + 0.5 \times 20$

$v = 0 + 10$

$v = 10 \ m/s$

Hence, the cyclist's final velocity is 10 m/s.

Learn more on linear motion here: brainly.com/question/19365526

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A stone is thrown, run a velocity of 15m/s is projected of an elevation of 30° to the horizontal calculate the time rate of flig

frozen [14]

Answer:

1.53 seconds

Explanation:

Applying,

T = 2usin∅/g................ Equation 1

Where, T = time of flight, u = initial velocity, ∅ = angle of projectile to the horizontal, g = acceleration due to gravity

From the question,

Given: u = 15 m/s, ∅ = 30°

Constant: g = 9.8 m/s²

Substitute these values in equation 1

T = 2(15)(sin30°)/9.8

T = 15/9.8

T = 1.53 seconds

Hence the time rate of flight is 1.53 seconds

3 0

2 years ago

A ray of light incident in water strikes the surface separating water from air making an angle of 10 ° with the normal to the su

labwork [276]

Answer:

$\theta _2 = 13^o$

$\theta _1 =32.94^o$

$\theta_c = 53.05^o$

Explanation:

From the question we are told that

The angle of incidence is $\theta_1 = 10^o$

The refractive index of water is $n_1 = 1.3$

Generally Snell's law is mathematically represented as

$n_1 sin(\theta_1) = n_2 sin(\theta_ 2)$

Here $n_2$ is the refractive index of air with value $n_2 = 1$

$\theta_2$ is the angle of refraction

$\theta _2 = sin^{-1}[\frac{n_1 * sin(\theta _1)}{n_2} ]$

=> $\theta _2 = sin^{-1}[\frac{1.3 * sin(10)}{1} ]$

=> $\theta _2 = 13^o$

Given that the angle should not be greater than $\theta _2 =45^o$ then the angle of incidence will be

$\theta _1 = sin^{-1}[\frac{n_2 * sin(\theta _2)}{n_1} ]$

=> $\theta _1 = sin^{-1}[\frac{1 * sin(45)}{1.3} ]$

=> $\theta _1 =32.94^o$

Generally for critical angle is mathematically represented as

$\theta_c = sin^{-1}[\frac{n_2}{n_1} ]$

=> $\theta_c = sin^{-1}[\frac{1}{1.3} ]$

=> $\theta_c = 53.05^o$

4 0

2 years ago

Test yourself: 1

Dmitry_Shevchenko [17]

Answer:

F = 1500 [N]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of all forces must be equal to the product of mass by acceleration.

ΣF = m*a

F = 1000*1.5

F = 1500 [N]

6 0

2 years ago

A lab technician needs to clean medical instruments that have been exposed to bacteria. Which electromagnetic wave

sveta [45]

Answer:

Ultraviolet wave

Explanation:

Ultraviolet waves would be best used to sterilize a surface expose to bacteria because it will completely destroy them.

Most medical equipment are usually sanitized by using this rays because the DNA of most bacteria can be innervated upon exposure to these ray.

Ultraviolet rays are energetic and more powerful than the normal visible light and subsequent long wavelength radiations.

Generally, ultraviolet rays is a very harmful electromagnetic radiation.

3 0

2 years ago

A mover uses a ramp to load a crate of nails onto a truck. The crate, which must be lifted 1.5 m from the street to the bed of t

jonny [76]

Answer:

Explanation:

Using the efficiency formula. Efficiency = MA/VR * 100%

MA = Mechanical Advantage

VR = velocity ratio = $\frac{distance\ moved\ by\ effort}{distance\ moved\ by\ load}$

Distance moved by effort = 4.5m

distance moved by load = 1.5m

VR = 4.5/1.5 =3

Assuming efficiency is 100% (since friction can be ignored)

100% = MA/3 * 100%

1 = MA/3

MA = 3*1

MA = 3

Mechanical Advantage of the ramp is 3

8 0

2 years ago