A car of mass m accelerates from speed v_1 to speed v_2 while going up a slope that makes an angle theta with the horizontal. The coefficient of static friction is mu_s, and the acceleration due to gravity is g. Find the total work W done on the car by the external forces.

Answers

Answer 1

Answer:

Answer:

Work done by external force is given as

$Work_(external) = mgLsin\theta + \mu mgLcos(\theta) + (1)/(2)mv_2^2 - (1)/(2)mv_1^2$

Explanation:

As per work energy Theorem we can say that work done by all force on the car is equal to change in kinetic energy of the car

so we will have

$Work_(external) + Work_(gravity) + Work_(friction) = (1)/(2)mv_2^2 - (1)/(2)mv_1^2$

now we have

$W_(gravity) = -mg(Lsin\theta)$

$W_(friction) = -\mu mgcos(\theta) L$

so from above equation

$Work_(external) - mgLsin\theta - \mu mgLcos(\theta) = (1)/(2)mv_2^2 - (1)/(2)mv_1^2$

so from above equation work done by external force is given as

$Work_(external) = mgLsin\theta + \mu mgLcos(\theta) + (1)/(2)mv_2^2 - (1)/(2)mv_1^2$

Related Questions

Why is the efficiency of a machine always less than 100 percent
Up to 80% of doctors endorse this project "uses which rhetorical device"
Of the waves listed, the one with the longest wavelength is a(n)a. X ray. b. radio wave. c. microwave. d. visible light wave.
What is a caliper used for?to make a precise measurement of volume to make a temperature measurement with low precision to make a volume measurement with low precision to make a precise measurement of length
The air you breathe is made of 21% oxygen and 78% nitrogen. The oxygen in air is the _____ and the nitrogen is the _____. solution, solute solute, solvent solvent, solution

A lake several streams and rivers that take water away from it. Does the lake contain freshwater or saltwater?

Answers

It contains fresh water.

Imagine you are holding an apple. Does this apple have energy?how do you know?

Answers

-- The apple has heat energy. If its temperature were Absolute Zero,
then the skin on my hand would freeze instantly and fall off.

-- The apple has potential energy, relative to the ground. If I were to
release it out of my hand, gravity would do work on it and pull it with
some speed to the ground, where it would have the kinetic energy to
break some blades of grass and dig a small crater in the soil.

-- The apple has chemical energy which, if I were to expose it to
human digestion and metabolism by eating it, would change to
glucose, soak into my muscles, and make itself available to me
whenever I need vim and vigor, mental alertness, visual acuity,
and the wherewithal to to escape any unexpected beast that might
in turn set upon me with the intention of converting MY entire person
into food energy for its own use.

What is a normal force?

Answers

is the component perpendicular to the surface on contact of the contact force

You travel in a circle, whose circumference is 8 kilometers, at an average speed of 8 kilometers/hour. If you stop at the same point you started from, what is your average velocity?

Answers

Answer: The average velocity will be 0 m/s.

Explanation:

Average velocity is defined as the fraction of displacement and total time.

$\text{Average velocity}=\frac{Displacement}{\text{total time}}$

In the given question, it states that the person stops at the same point from where it started, which means that the displacement of this person is 0 meters.

Therefore, the average velocity becomes:

$\text{Average velocity}=\frac{0}{\text{total time}}=0m/s$

Hence, the average velocity will be 0 m/s.

the answer is 8 kilometers per hour

Natalie and Will are discussing socialization. Natalie says that socialization occurs when an animal becomes accustomed to the people in the household. Will says that socialization is easily attained if the animal is first exposed to humans after 12 weeks of age. Who is correct?A. Only Natalie
B. Only Will<~~~My answer and its wrong :(
C. Neither Natalie nor Will
D. Both Natalie and Will

Answers

The correct answer for this question is this one: "C. Neither Natalie nor Will." Natalie and Will are discussing socialization. Natalie says that socialization occurs when an animal becomes accustomed to the people in the household. Will says that socialization is easily attained if the animal is first exposed to humans after 12 weeks of age.

Answer:

A. only Natalie

Explanation:

The answer above is wrong. The correct answer is A "only Natalie" because the socialization process, while best done during the 2-12 weeks, it does not happen onlyin that period. As long as the animal gets accustomed to living in the household, it is being socialized

Micah knows that a car had a change in velocity of 15 m/s. To determine acceleration, Micah also needs the_____ of the total trip in seconds.

Answers

Answer:

time

Explanation:

Answer:

Distance

Explanation:

Other Questions

How do you work out the Equivalent Fractiontion to 3/7

The magnitudes of the vectors in this diagram are vx/y = 17.94 meters/second and vy/z = 3.46 meters/second. Find vx/z.

During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 38 m/s at an angle θ = 34° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem.

what is the kinetic energy of an object that has mass of 30 kilograms and move with a velocity of 20 m/s