Find the speed of the box moving up the plane 3 sec later.

In summary, the first question asks for the acceleration of a box sliding down a 20 degree inclined plane. The solution involves drawing a free body diagram and using kinematics equations. The second question, which is derived from the first, asks for the speed of a box moving up the same plane after 3 seconds with an initial velocity of 1000 cm/sec. This can be solved using the same method as the first question.
  • #1
Bama
15
0
There are 2 question but the 2nd question solution is derive from the 1st question.

1. A box is sliding down a plane inclined at an angle of 20 degrees from the horizontal. Find the acceleration of the box, neglecting friction and air resistance.

2. A box that is hurled up the inclined plane starts up the plane with an initial velocity of 1000 cm/sec. Find the speed of the box moving up the plane 3 sec later.
 
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  • #2
Is this homework? Firstly, this is in the wrong place. Secondly, if you want help you need to show some effort. People aren't going to do your work for you.
 
  • #3
I would suggest u draw the vector diagram if u r confused with the question.
 
  • #4
1) Draw the free body diagram of the box. Take components of forces along the slope , the forces in downward direction - the forces up the slop = ma , calculate 'a'

2)Usie Kinematics equations .

BJ
 
  • #5
you can do it this way

Fx = mgsin@ = MAx

Fy = n - mgcos@ = 0

Ax = g sin@
 

1. What is the formula for finding the speed of an object moving up a plane?

The formula for finding the speed of an object moving up a plane is v = d/t, where v is the speed, d is the distance, and t is the time.

2. How do you calculate the distance traveled by the box in 3 seconds?

To calculate the distance traveled by the box in 3 seconds, you can use the formula d = v*t, where d is the distance, v is the speed, and t is the time. Make sure to use consistent units for all values.

3. Can you find the speed of the box if the angle of the plane is given?

Yes, the speed of the box can still be found if the angle of the plane is given. You will need to use the formula v = d/t, but the value for d will need to be calculated using the given angle and the distance along the plane rather than the straight-line distance.

4. How can you determine if the box is moving at a constant speed up the plane?

You can determine if the box is moving at a constant speed up the plane by measuring its speed at different points along the plane. If the speed remains the same, then the box is moving at a constant speed. Additionally, if there is no change in the angle of the plane, the box is also moving at a constant speed.

5. Is the speed of the box affected by the weight of the box or the surface of the plane?

Yes, the speed of the box can be affected by the weight of the box and the surface of the plane. If the box is heavier, it may move slower due to increased gravitational force. Additionally, if the surface of the plane is rougher, it may cause more friction and slow down the box's speed.

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