An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= <-3 N , -5 N># and the second is #F_2 = < 6 N, 7 N>#. What is the object's rate and direction of acceleration?
Adding the vectors gives a magnitude of
Using Newton's Second Law:
First we find the resultant force acting on the object, by adding the components of the force vectors:
To find the direction, we use trig: 3 and 2 are the opposite and adjacent sides of a right-angled triangle, so:
Using Newton's Second Law, the acceleration is given by:
By signing up, you agree to our Terms of Service and Privacy Policy
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How fast will an object with a mass of #15 kg# accelerate if a force 95 N# is constantly applied to it?
- An object with a mass of #7 kg# is on a surface with a kinetic friction coefficient of # 8 #. How much force is necessary to accelerate the object horizontally at # 4 m/s^2#?
- An object with a mass of #7 kg# is hanging from a spring with a constant of #2 kgs^-2#. If the spring is stretched by # 9 m#, what is the net force on the object?
- If an object is moving at #10 m/s# over a surface with a kinetic friction coefficient of #u_k=2 /g#, how far will the object continue to move?
- An object with a mass of #14 kg# is acted on by two forces. The first is #F_1= < 5 N , 6 N># and the second is #F_2 = < 3 N, 4 N>#. What is the object's rate and direction of acceleration?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7