Answer:
3.53 m/s
Explanation:
KE₁ + RE₁ = KE₂ + RE₂ + PE
½ mv₁² + ½ Iω₁² = ½ mv₂² + ½ Iω₂² + mgh
For a solid sphere, I = ⅖ mr²
½ mv₁² + ½ (⅖ mr²) ω₁² = ½ mv₂² + ½ (⅖ mr²) ω₂² + mgh
½ mv₁² + ⅕ mr² ω₁² = ½ mv₂² + ⅕ mr² ω₂² + mgh
Rolling without slipping means v = ωr.
½ mv₁² + ⅕ mv₁² = ½ mv₂² + ⅕ mv₂² + mgh
⁷/₁₀ mv₁² = ⁷/₁₀ mv₂² + mgh
⁷/₁₀ v₁² = ⁷/₁₀ v₂² + gh
Substitute:
⁷/₁₀ (5.50 m/s)² = ⁷/₁₀ v₂² + (9.8 m/s²) (3.00 m sin 25.0°)
v₂ = 3.53 m/s
(distance covered) divided by (time to cover the distance) is SPEED.
(straight-line distance and direction between start-point and end-point) is DISPLACEMENT.
(amount and direction of change in speed) divided by (time for the change) is ACCELERATION.
(amount and direction of change in momentum) divided by (time for the change) OR (mass) times (acceleration) is FORCE.
Answer: The last part of the question has some details missing which is ; (Assume that the molecule's velocity is perpendicular to the two sides that it strikes.) molecule v=482 m/s molecule momentum=2.56 x 10^(-23)
Explanation:
- The momentum of the molecule is 2.56 x 10^(-23) .
- Particle hits the wall and bounces.
- Momentum is reversed. Change in momentum = impulse
- This is Force x time.
- Momentum change happens at a wall after each trip.
- time required = distance /speed
- Average force = impulse / time
- = 2 x 482 x 2.56 x 10^(-23) / (0.17 x 2)
- = 7.76 x 10^20N, is the average force the molecule exerts on one of the walls of the container.
Explanation:
work done=force ×distance
force=Mass ×accelleration
work done=50×8×0.4
=160J
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When you push a door closed it doesn't travel in a straight line it turns around the hinges this is an example of a line
