The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 10 and 39 kg. If A and B are 4.0 and 1.0 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) vB = Number Type your answer for part (a) here Units Choose your answer for part (a) here (b) vB = Number Type your answer for part (b) here Units Choose your answer for part (b) here (c) KEheavierKElighter = Number Type your answer for part (c) here Units Choose your answer for part (c) here

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The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 10 and 39 kg. If A and B are 4.0 and 1.0 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B?

 

(a) vB = Number Type your answer for part (a) here Units Choose your answer for part (a) here                                                            
(b) vB = Number Type your answer for part (b) here Units Choose your answer for part (b) here                                                            
(c)  KEheavierKElighter = Number Type your answer for part (c) here Units Choose your answer for part (c) here                                                            
The image depicts two identical inclined planes with blocks placed on them. The block on each plane is labeled point A, and both blocks start with an initial velocity (\(v_A\)) of 0 m/s.

### Diagram Explanation:

1. **Inclined Planes**: 
   - Two inclined planes are shown, each with the same angle of inclination to the horizontal surface.

2. **Blocks**:
   - Each plane has a block positioned at the top (point A) and bottom (point B). 

3. **Velocity Labels**:
   - Both blocks have an initial velocity (\(v_A\)) of 0 m/s at point A, indicating they start from rest.

4. **Heights**:
   - \(\text{h}_A\) represents the vertical height from the ground to point A where the blocks are initially placed.
   - \(\text{h}_B\) represents the vertical height from the ground to point B.

The diagram is likely used to illustrate concepts related to inclined planes, such as gravitational potential energy, kinematics, or friction.
Transcribed Image Text:The image depicts two identical inclined planes with blocks placed on them. The block on each plane is labeled point A, and both blocks start with an initial velocity (\(v_A\)) of 0 m/s. ### Diagram Explanation: 1. **Inclined Planes**: - Two inclined planes are shown, each with the same angle of inclination to the horizontal surface. 2. **Blocks**: - Each plane has a block positioned at the top (point A) and bottom (point B). 3. **Velocity Labels**: - Both blocks have an initial velocity (\(v_A\)) of 0 m/s at point A, indicating they start from rest. 4. **Heights**: - \(\text{h}_A\) represents the vertical height from the ground to point A where the blocks are initially placed. - \(\text{h}_B\) represents the vertical height from the ground to point B. The diagram is likely used to illustrate concepts related to inclined planes, such as gravitational potential energy, kinematics, or friction.
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