Problem 6: A toy car is rolling down the ramp as shown in the figure. The car's mass is m = 1.9 kg and the ramp makes an angle of 0= 17 degrees with respect to the horizontal. Assume the car is rolling without friction. a= Part (a) Using the coordinate system specified, give an expression for the acceleration of the car in terms of 0, g, and the unit vectors i and j. cos(a) sin(o) В k j cos(p) sin(0) 0 d m cos(0) sin(0²) i g P sin(a) ( α j h t Part (b) What is the magnitude of this acceleration in m/s²? ^^^ 7 8 9 4 5 6 1 2 3 HOME 0 + - 0 END VO BACKSPACE DEL CLEAR
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
answer parts a and b. thank u!
![**Problem 6:** A toy car is rolling down the ramp as shown in the figure. The car's mass is \( m = 1.9 \) kg and the ramp makes an angle of \( \theta = 17 \) degrees with respect to the horizontal. Assume the car is rolling without friction.
**Diagram Explanation:**
The diagram shows a right triangle representing the ramp with an angle \( \theta \) at the base. The toy car is placed on the inclined ramp and is indicated by a small black shape facing downhill with an arrow showing the direction of motion. The \( x \) and \( y \) axes are drawn perpendicular and parallel to the inclined surface, respectively.
**Part (a)**
Using the coordinate system specified, give an expression for the acceleration of the car in terms of \( \theta \), \( g \), and the unit vectors \( \mathbf{i} \) and \( \mathbf{j} \).
\( a = \) [Blank input for calculation]
**Keyboard for Input:**
The available mathematical symbols and inputs include trigonometric functions (cosine and sine of \( \alpha, \phi, \theta \)), Greek letters (\( \beta, \theta, \alpha \)), unit vectors (\( \mathbf{i}, \mathbf{j}, \mathbf{k} \)), numerical digits (0-9), arithmetic operations (\( +, -, *, / \)), parentheses, and other mathematical symbols.
**Part (b)**
What is the magnitude of this acceleration in \( \text{m/s}^2 \)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38a9992d-9c05-40da-9474-aaafff450dc4%2Fce3c77ce-e621-4c09-a302-7441ec939bac%2Fm2i0nq_processed.png&w=3840&q=75)
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