# An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= <-3 N , 1 N># and the second is #F_2 = < 6 N, -2 N>#. What is the object's rate and direction of acceleration?

By signing up, you agree to our Terms of Service and Privacy Policy

The rate of acceleration is

According to Newton's Second Law

Therefore,

The acceleration is

The rate of acceleration is

The direction of acceleration is

By signing up, you agree to our Terms of Service and Privacy Policy

The object's rate of acceleration is (a = 1 , \text{m/s}^2) in the direction of (\langle -1, 1 \rangle).

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.

- If an object is moving at #6 m/s# over a surface with a kinetic friction coefficient of #u_k=24 /g#, how far will the object continue to move?
- An object with a mass of # 5 kg# is lying still on a surface and is compressing a horizontal spring by #3/2 m#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- An object, previously at rest, slides #7 m# down a ramp, with an incline of #(pi)/3 #, and then slides horizontally on the floor for another #12 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- What is an example that demonstrates Newton's second law?
- An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= x^2+2 #. How much work would it take to move the object over #x in [2, 5], where x is in meters?

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