# An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= e^x+x #. How much work would it take to move the object over #x in [3, 4], where x is in meters?

The work done is

The completed work is

The force of friction is

The completed work is

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

To calculate the work done, use the integral of the friction force over the given interval:

[ W = \int_{3}^{4} u_k(x) \cdot m \cdot g ,dx ]

where ( m ) is the mass (5 kg), ( g ) is the acceleration due to gravity (approximately 9.8 m/s²).

[ W = \int_{3}^{4} (e^x + x) \cdot 5 \cdot 9.8 ,dx ]

Approximately, the work done is 1565.78 Joules.

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.

- An object with a mass of #3 kg# is acted on by two forces. The first is #F_1= < -2 N , -3 N># and the second is #F_2 = < 7 N, 1 N>#. What is the object's rate and direction of acceleration?
- A box with an initial speed of #5 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #3/7 # and an incline of #(3 pi )/8 #. How far along the ramp will the box go?
- A 7 kg. mass is moved across table at 25 m/sec. What force caused the acceleration?
- Which has more inertia, a 1 kilogram ball or a 10 kilogram ball?
- An object with a mass of #8 kg# is acted on by two forces. The first is #F_1= < -2 N , 1 N># and the second is #F_2 = < 3 N, -1 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