Physics High School

(ii) a skateboarder, with an initial speed of 2.0 ms, rolls virtually friction free down a straight incline of length 18 m in 3.3 s. at what angle u is the incline oriented above the horizontal?

Answers

Answer 1

A skateboarder, with an initial speed of 2.0 ms, rolls virtually friction free down a straight incline of length 18 m in 3.3 s.The incline is oriented approximately 11.87 degrees above the horizontal.

To determine the angle (θ) at which the incline is oriented above the horizontal, we need to use the equations of motion. In this case, we'll focus on the motion in the vertical direction.

The skateboarder experiences constant acceleration due to gravity (g) along the incline. The initial vertical velocity (Viy) is 0 m/s because the skateboarder starts from rest in the vertical direction. The displacement (s) is the vertical distance traveled along the incline.

We can use the following equation to relate the variables:

s = Viy × t + (1/2) ×g ×t^2

Since Viy = 0, the equation simplifies to:

s = (1/2) × g × t^2

Rearranging the equation, we have:

g = (2s) / t^2

Now we can substitute the given values:

s = 18 m

t = 3.3 s

Plugging these values into the equation, we find:

g = (2 × 18) / (3.3^2) ≈ 1.943 m/s^2

The acceleration due to gravity along the incline is approximately 1.943 m/s^2.

To find the angle (θ), we can use the relationship between the angle and the acceleration due to gravity:

g = g ×sin(θ)

Rearranging the equation, we have:

θ = arcsin(g / g)

Substituting the value of g, we find:

θ = arcsin(1.943 / 9.8)

the angle θ is approximately 11.87 degrees.

Therefore, the incline is oriented approximately 11.87 degrees above the horizontal.

To learn more about acceleration visit: https://brainly.com/question/460763

#SPJ11

Related Questions

Other Questions
A physician or surgeon may not accept or agree to accept any payment, fee, reward or anything of value for soliciting patients or patronage for any physician or surgeon. A violation constitutes a Class A misdemeanor and each payment, reward, or fee or agreement to accept a reward or fee is a separate offense. Find the general solution to the following differential equations:16y''-8y'+y=0y"+y'-2y=0y"+y'-2y = x^2 the evolution of public health, and what the focus has been over time, can best be described by which flowchart? potential hazard of immune serum globulin, antitoxins, and antivenins would be ___a.) all of these are correntb.) allergic reactionc.) causing the actual disease in an immunocompromised individuald.) mercury poisoning During the early years of the silicon valley, what were some unique qualities of the environments in the start up computer companies? State the beginning reactants and the end products glycolysis, alcoholic fermentation, the citric acid cycle, and the electron transport chain. Describe where these processes take place in the cell and the conditions under which they operate (aerobic or anaerobic), glycolysis: alcoholic fermentation: citric acid cycle: electron transport chain Consider a radioactive sample. Determine the ratio of the number of nuclei decaying during the first half of its halflife to the number of nuclei decaying during the second half of its half-life. predict the total packing cost for 25,000 orders, weighing 40,000 pounds, with 4,000 fragile items. round regression intercept to whole dollar and coefficients to two decimal places (nearest cent). enter the final answer rounded to the nearest dollar. Pinto LC, Falcetta MR, Rados DV, Leitao CB, Gross JL. Glucagon-like peptide-1 receptor agonists and pancreatic cancer: a meta-analysis with trial sequential analysis. Scientific reports. 2019:9:1-6. originally developed for detecting air pollutants, a technique called proton-induced x-ray emission, which can quickly analyze the chemical elements in almost any substance without destroying it, is finding uses in medicine, archaeology, and criminology. How does the number 32.4 change when you multiply it by 10 to the power of 2 ? select all that apply. a). the digit 2 increases in value from 2 ones to 2 hundreds. b). each place is multiplied by 1,000 c). the digit 3 shifts 2 places to the left, from the tens place to the thousands place.