Find the Ramp Angle for a 3kg Block on a Frictionless Ramp

In summary, a 3kg block released from rest on a 1.5m frictionless ramp has an acceleration of 3.8m/s/s. The angle x of the ramp can be calculated using equations such as F = ma and sin x = opposite/hypotenuse. The possible answers for x in degrees are 12.1, 16.3, 22.8, 25.2, and 37.4.
  • #1
vincentp07
1
0
A 3kg block is released from rest at the top of a frictionless ramp 1.5m long. The acceleration of the blick is measured to be 3.8m/s/s. What is the angle x of the ramp?

all answers in degrees

a)x= 12.1
b)x=16.3
c)x=22.8
d)x=25.2
e)x=37.4
 
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  • #2
Hey vincentp07,
Where is your attempt at this qs?
 
  • #3
Welcome to PF!

vincentp07 said:
A 3kg block is released from rest at the top of a frictionless ramp 1.5m long. The acceleration of the blick is measured to be 3.8m/s/s. What is the angle x of the ramp?

Hi vincentp07! Welcome to PF! :smile:

What equations do you think might be useful in this case? :smile:
 

FAQ: Find the Ramp Angle for a 3kg Block on a Frictionless Ramp

What is the formula for finding the ramp angle for a 3kg block on a frictionless ramp?

The formula for finding the ramp angle is sin^-1 (mgh/mg), where m is the mass of the block, g is the acceleration due to gravity, and h is the height of the ramp.

How do I determine the mass of the block?

The mass of the block should be provided in the problem or you can measure it using a scale. It is important to use the correct mass in the formula to get an accurate answer.

What is the value of acceleration due to gravity?

The value of acceleration due to gravity is 9.8 m/s^2. This is a constant value on Earth, but may vary on other planets or in different locations on Earth.

How do I measure the height of the ramp?

The height of the ramp can be measured using a ruler or measuring tape. Make sure to measure from the base of the ramp to the highest point of the ramp.

Can I use this formula for a block on a ramp with friction?

No, this formula is specifically for a frictionless ramp. If there is friction present, the calculations will be more complex and require additional variables.

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