figure shows an downhill plane with the dimensions as H = 15 m, D = 19 m, and an angle ? = 54.14o. Incline has a coefficient of kinetic friction of μk = 1.90. The block of mass m = 2.8 kg starts at labelled point 1 with an initial speed v1 which slides to the labelled point 2.   a) What would be the change in gravitational potential energy of the block as it moves from point 1 to point 2? increases ____ J or decreses by ____ J   b) Find change in the mechanical energy of the block when it moves from point 1 to point 2? equal but opposite change, or decreases by _____ J, or increases by ___ J     c) speed of the block when it arrives at point 2 is _______ the speed at point 1. greater than less than,  or the same as, or none.

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figure shows an downhill plane with the dimensions as H = 15 m, D = 19 m, and an angle ? = 54.14o. Incline has a coefficient of kinetic friction of μk = 1.90.
The block of mass m = 2.8 kg starts at labelled point 1 with an initial speed v1 which slides to the labelled point 2.

 

a) What would be the change in gravitational potential energy of the block as it moves from point 1 to point 2?

increases ____ J or decreses by ____ J

 

b) Find change in the mechanical energy of the block when it moves from point 1 to point 2?

equal but opposite change, or decreases by _____ J, or increases by ___ J
 
 
c) speed of the block when it arrives at point 2 is _______ the speed at point 1.
greater than less than,  or the same as, or none. 
The image depicts a right-angled triangle illustrating an inclined plane, which is common in physics and geometry education. The triangle is oriented with the right angle at the point where the vertical side meets the base, and the hypotenuse represents the slope.

Key Elements of the Diagram:

1. **Labels and Notations**:
   - The vertical height of the triangle is labeled as \( H \).
   - The base of the triangle is not explicitly labeled but serves as the horizontal component.
   - The hypotenuse is labeled as \( D \), representing the diagonal of the incline.
   - The angle between the base and the hypotenuse at the bottom right corner is denoted as \( \theta \).
   - Points on the triangle are labeled as 1 (on the base-hypotenuse junction) and 2 (on the vertical-hypotenuse junction).

2. **Geometric Properties**:
   - The two right angles in the diagram are marked with small squares.
   - The triangle's height \( H \) is perpendicular to the base.
   - The hypotenuse \( D \) is the longest side, opposite the right angle.
  
This diagram is typically used to explain concepts like calculating the length of sides using trigonometric functions such as sine, cosine, and tangent, or to illustrate principles of mechanics involving inclined planes.
Transcribed Image Text:The image depicts a right-angled triangle illustrating an inclined plane, which is common in physics and geometry education. The triangle is oriented with the right angle at the point where the vertical side meets the base, and the hypotenuse represents the slope. Key Elements of the Diagram: 1. **Labels and Notations**: - The vertical height of the triangle is labeled as \( H \). - The base of the triangle is not explicitly labeled but serves as the horizontal component. - The hypotenuse is labeled as \( D \), representing the diagonal of the incline. - The angle between the base and the hypotenuse at the bottom right corner is denoted as \( \theta \). - Points on the triangle are labeled as 1 (on the base-hypotenuse junction) and 2 (on the vertical-hypotenuse junction). 2. **Geometric Properties**: - The two right angles in the diagram are marked with small squares. - The triangle's height \( H \) is perpendicular to the base. - The hypotenuse \( D \) is the longest side, opposite the right angle. This diagram is typically used to explain concepts like calculating the length of sides using trigonometric functions such as sine, cosine, and tangent, or to illustrate principles of mechanics involving inclined planes.
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