What is The New velocity of the box?

Acceleration a(t) = <103.264/24, 0, 0> = <4.30266667, 0, 0>m/s^2In summary, the given problem involves a 24 kg box being pushed by a constant force of 107 N in the x-direction, with a coefficient of kinetic friction of 0.18. At t = 8.0 s, the box is located at <11, 2, -4> m and has a velocity of <5,
  • #1
ohheytai
85
0

Homework Statement


A 24 kg box is being pushed across the floor by a constant force ‹ 107, 0, 0 › N. The coefficient of kinetic friction for the table and box is 0.18. At t = 8.0 s the box is at location ‹ 11, 2, −4 › m, traveling with velocity ‹ 5, 0, 0 › m/s. What is its position and velocity at t = 9.7 s?



Homework Equations





The Attempt at a Solution


i got <12.11,0,0> and <7.58,0,0> but they were both wrong
 
Physics news on Phys.org
  • #2
Since the force is in the x-direction, you need to get the frictional force which would be Frictional force = <μmg,0,0>, then find the resultant force,F. (and F=ma :wink: )
 
  • #3
yea but i still don't get how to find v final at 9.7s
 
  • #4
ohheytai said:
yea but i still don't get how to find v final at 9.7s

Using my suggestion, once you get the resultant force vector and apply F=ma, you can get the vector a.

Then you can use v(t) = ∫a(t) dt
 
  • #5
can you show me how to get the answer?
 
  • #6
ohheytai said:
can you show me how to get the answer?

I can't pose the solution for you, but I will start you off.

Resultant force, ma(t) = Constant force - frictional force
 

FAQ: What is The New velocity of the box?

1. What is velocity?

Velocity is a measure of how fast an object is moving in a specific direction. It is a vector quantity, meaning it has both magnitude (speed) and direction.

2. What is the difference between speed and velocity?

Speed is a scalar quantity that only measures how fast an object is moving, while velocity also takes into account the direction of the movement.

3. How is velocity calculated?

Velocity is calculated by dividing the distance an object travels by the time it takes to travel that distance. The formula is v = d/t, where v is velocity, d is distance, and t is time.

4. What are the units of velocity?

The units of velocity are distance over time, such as meters per second (m/s) or kilometers per hour (km/h).

5. How can velocity change?

Velocity can change in two ways: through a change in speed or a change in direction. An object can accelerate or decelerate to change its speed, and it can also change direction to change its velocity.

Similar threads

Replies
11
Views
3K
Replies
12
Views
2K
Replies
10
Views
4K
Replies
6
Views
2K
Replies
12
Views
2K
Replies
4
Views
982
Replies
3
Views
1K
Back
Top