A 20 kg girlslides down a frictionless slide at a playground. The surface of the slide is 12.8o to the horizontal. What is her acceleration? Give your answer to one decimal place.

Question

BlackTom AI · Accepted Answer

We start by identifying the physics of motion on a frictionless incline. On a frictionless slide, the acceleration along the plane is due to the component of gravity parallel to the surface. This is given by a = g sin(theta), where g is 9.8 m/s^2 and theta is the angle of the incline with respect to the horizontal.

First, note the angle provided: theta = 12.8 degrees. To use sin(theta), we convert or directly use the sine of that angle: sin(12.8°) ≈ 0.222.

Next, substitute into the formula: a = 9.8 m/s^2 × sin(12.8°) ≈ 9.8 × 0.222.

Carrying out the multiplication: 9.8 × 0.222 ≈ 2.1776 m/s^2.

Rounding to one decimal place as requested gives an acceleration of approximately 2.2 m/s^2 along the incline.

Additional notes:
- This calculation assumes the slide is frictionless, so no frictional force reduces the parallel component of gravity.
- The mass of the girl (20 kg) does not affect the acceleration on a frictionless incline, since both gravitational force component along the plane and the normal reaction force scale with mass, leaving a independent of m.
- If the incline were steeper (larger theta), sin(theta) would be larger and the acceleration would increase accordingly; if shallower, acceleration would decrease.

A 20 kg girlslides down a frictionless slide at a playground. The surface of the slide is 12.8o to the horizontal. What is her acceleration? Give your answer to one decimal place.Numerical

Similar Questions

How are you to measure the angle of the slope for this experiment?

A 15.5 kg mass, slides down a rough inclined plane at an angle of 33.1 to the horizontal, experiencing a frictional force of 6.8 N.Determine the net force acting on the mass.

A 19 kg mass, slides down a rough inclined plane at an angle of 32.5 to the horizontal, experiencing a frictional force of 6.7 N.Determine the acceleration of the mass.

Based on the scenario below, choose the best answer.A car is driving up a slope at a constant velocity. This means:

A 80 kg man skis down a frictionless ski slope at an angle of 12.5o to the horizontal. What is his acceleration? Give your answer to one decimal place.

A car of mass 1357.7 kg rolls down a sloping road when the handbrake fails. The road slopes at an angle of 5.3 degrees to the horizontal, and the frictional forces on the car add up to 168.1 newton.What is the net force acting on the car?

A 20 kg girlslides down a frictionless slide at a playground. The surface of the slide is 8.0o to the horizontal. What is her acceleration? Give your answer to one decimal place.

A 114 kg boulder slides down a sloping hillside during a landslide. The hillside slopes at an angle of 9.7 degrees to the horizontal, and the frictional forces on the boulder add up to 111.3 N.What is the boulder's acceleration down the slope?

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler