How long does it take to reach the bottom of the ramp

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SUMMARY

The discussion focuses on calculating the time it takes for a 15 kg box to slide down a 5.0 m frictionless ramp inclined at 37 degrees. The acceleration along the ramp is determined to be (3/5)g, where g is the acceleration due to gravity (approximately 9.81 m/s²). By applying kinematic equations, specifically using the distance and acceleration, one can derive the time taken to reach the bottom of the ramp. The weight of the box is irrelevant in this scenario due to the absence of friction.

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  • Understanding of basic physics concepts, particularly Newton's laws of motion.
  • Familiarity with kinematic equations for uniformly accelerated motion.
  • Knowledge of trigonometry for resolving forces into components.
  • Concept of gravitational acceleration (g = 9.81 m/s²).
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Homework Statement



A 15 kg box is placed at the top of a 5.0 m long, frictionless ramp inclined at an angle of 37o. How long does it take the box to reach the bottom of the ramp?

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The Attempt at a Solution

 
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so the acceleration at the direction of the slope is 3/5g then it's all about mathematics imho. it doesn't really matter how much it weighs tbh, since it's frictionless.
 


Draw a triangle and break the force of gravity into components using trigonomoetry. Knowing the distance and force you can find acceleration which you can use to find time.
 

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