1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrei [34K]
3 years ago
14

A car is on a driveway that is inclined 10 degrees to the horizontal. A force of 490 lb is required to keep the car from rolling

down the driveway.
a) Find the weight of the car.
b) Find the force the car exerts on the driveway.
Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

Answer:

a) weight  of the car = 2816,1 lbs

b) 2773 lbs

Step-by-step explanation:

The equilibrium force is 490 lbs. That force keep the car at rest, then

∑ Fy  =  0     and  ∑Fx  =  0

Forces acting on the car:

The external force   490 lbs

weight of the car   uknown

Normal force

sin∠10°  =  0,174

cos∠10° = 0.985

∑Fx  =  0         mg*sin10°- 490 = 0      ∑Fy =  0      mg*cos10° - N  =  0

mg*0,174= 490

mg  =  490 / 0,174

mg = 2816,1 lbs

weight  of the car = 2816,1 lbs

The Normal force

mg*cos10° - N  =  0        2816,1 * 0,985 = N

N = 2773 lbs

Then equal force in magnitude and in opposite direction will car exets on the driveway

You might be interested in
Answer please with explanation thank you
natulia [17]

Answer:

Shape a has 1 order of rotational symmetry and 1 line of symmetry

Shape b has 2 orders of rotational symmetry and 0 line of symmetry

Rotational symmetry is how many times a shape can be rotated and look the same.

Lines of symmetry are how lines can be put through the shape to make it symmetrical or the same on both sides

6 0
4 years ago
If<br> f(x) = x^2 + 2x – 4<br> and<br> g(x) = 3x + 1<br> Find<br> f(g(x)) = 9x^2 + [ ? ]x+ [?]
lakkis [162]

Step-by-step explanation:

f(g(x))=(3x+1)^2 +2(3x+1) -4

=9x^2 +6x +1 +6x +2 -4

=9x^2 +12x +(-1)

7 0
3 years ago
Need a little help does anyone’s know how to do this?
hichkok12 [17]

Answer:

106°

Step-by-step explanation:

Given that the points B, C and D are colinear, it means that

2x + 40 = 5x + 10

collecting like terms

40 - 10 = 5x - 2x

3x = 30

x = 10

Hence the angle ∠E

= 5(10) + 10

= 60°

∠BCE = X + 4

= 10 + 4

= 14°

Given that the sum of angles in a triangle is 180°

∠D + 14 + 60 = 180

∠D = 180 - 74

= 106°

5 0
3 years ago
What is one of the zeros of the function shown in this graph?
Ratling [72]

Answer:

(-4, 0)

Step-by-step explanation:

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

3 0
3 years ago
Ann is flipping a coin and rolling two dice. How many outcomes are possible?
larisa86 [58]

Step-by-step explanation:

The coin can result in one of two possibilities. For each of those . . .

The cube has 6 possibilities.

Total possibilities for the coin and the cube = 2 x 6 = 12

5 0
2 years ago
Other questions:
  • Hello I am making a business and I am about to sell my first bracelet I wanted to know how much should I sell it for????? I paid
    7·2 answers
  • a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is
    13·2 answers
  • URGENT!!!<br> what's the answer to this?
    10·1 answer
  • What does three and five eights plus 2 and four fifths equal????
    15·2 answers
  • Find the vertex and the x-inter of the function given below. y = x^2 + 2x + 6
    7·1 answer
  • Divide. Reduce the answer to lowest terms.
    7·1 answer
  • Explain how you would trace an argument. (1 point)
    14·2 answers
  • Please excuse my rudeness but, could you please help me
    13·2 answers
  • BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported! (question 19)
    13·1 answer
  • David uses software to draw two triangles. He finds that he can use a rotation and a reflection to map one triangle onto the oth
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!