A 1-kg book is at rest on a desk. Determine the force the desk exerts on the book
Answers
[tex]\displaystyle F_n = 9.8 \ N[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightPhysics
Forces
SI Unit: Newtons N
Free Body Diagrams
Gravitational Force: [tex]\displaystyle F_g = mg[/tex]
m is mass (in kg)g is Earth's gravity (9.8 m/s²)Normal Force: [tex]\displaystyle F_n[/tex]
Newton's Law of Motions
Newton's 1st Law of Motion: An object at rest remains at rest and an object in motion stays in motionNewton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration)Newton's 3rd Law of Motion: For every action, there is an equal and opposite reactionExplanation:Step 1: Define
1 kg book at rest
Step 2: FBD
See Attachment
Draw a free body diagram to label the forces acting upon the book. We see that we would have gravitational force from Earth pointing downwards and normal force from the surface of the desk pointing upwards.
Since the book is not moving, we know that ∑F = 0 (sum of forces equal to 0).
Step 4: Find Normal Force
Define Forces [Newton's Law of Motions]: [tex]\displaystyle \sum F = 0[/tex][Newton's Law of Motions] Substitute in forces: [tex]\displaystyle F_g - F_n = 0[/tex][Newton's Law of Motions] [Addition Property of Equality] Isolate [tex]\displaystyle F_n[/tex]: [tex]\displaystyle F_g = F_n[/tex][Newton's Law of Motions] Substitute in [tex]\displaystyle F_g[/tex]: [tex]\displaystyle mg = F_n[/tex][Newton's Law of Motions] Rewrite: [tex]\displaystyle F_n = mg[/tex][Newton's Law of Motions] Substitute in variables: [tex]\displaystyle F_n = (1 \ kg)(9.8 \ \frac{m}{s^2})[/tex][Newton's Law of Motions] Multiply: [tex]\displaystyle F_n = 9.8 \ N[/tex]
Related Questions
A 0.15 kg. baseball flies rightward at 15m/s to hit a tennis ball flying at it from
the opposite direction of 22 m/s. The baseball and the tennis ball have a
final speed of 1.2 m/s and 13 m/s respectively, both to the right.
What is the mass of the tennis ball?
(w/solution)
Answers
m1v1i + m2v2i = m1v1f + m2v2f
m1v1i - m1v1f = m2(v2f - v2i)
m2 = (m1v1i - m1v1f) / (v2f - v2i)
m2 = [(0.15)(15) - (0.15)(1.2)] / (13 - -22)
Henceforth, my good sire, the mass indeed works out to a fine approximate value of:
m = 0.06 kg
That’s a pretty small tennis ball!
A force of 100 N will exert the greatest pressure on an area of
Answers
Answer:
It will apply the greatest pressure of an area of 1.
Explanation:
To find pressure use the formula P = F/A
P = 100/1
P = 100
Answer:
10 N / cm^2
Explanation:
The Formiula is P = F / A
P = presure
F = Force in Newtons
A = area.
The answer is the smaller the area the larger the pressure.
The smallest area you have given us is 10 cm^2
The Pressure = 100N / 10 cm^2
Pressure = 10 N/cm^2
Note: the units are not exactly standard units, but I've given the answer the way the question offers the units.
compare the liquid pressure at the surface of a swimming pool and the bottom of the swimming pool
Answers
Answer:
The pressure difference is equal to the product of density , height and g
Given that h is height difference between bottom and surface of a pool
P
b
−P
s
=dgh
Density d of water is 1
So we get P
b
−P
s
=gh
Therefore option A is correct
Explanation:
A turtle is walking across the garden at 2m/min.
How long will it take the turtle to travel 45 meters?
Answers
Answer:
22 mins and 30 seconds
Explanation:
2m in 1 min so:
45m in x mins Cross multiply
2x = 45
x = 45/2
x=22.5
Alice pulls her wagon with a force of 75N. If the she pulls the wagon for 50 meters, how much work has she done?
Answers
Answer: W=75.50J
Explanation:
W=Fd
What is the kinetic energy of the ball as it is half way through the fall?
Answers
An island reports that in the year 2000 there were 240 babies born. That same year, 100 individuals died.
What is the growth rate for this island?(Show your work and indicate if it is positive or negative.)
Answers
Answer:
+ 140
Explanation:
You can show the natural growth rate by subtracting the death rate from the birth rate during one year and converting this into a percentage.
Here it would be:
240 - 100 = + 140
// if you want to convert it to percentage, you need to know the size of the population
it would be
140 / (population size) * 100 %
If the mass of a 1.8 g paperclip was able to be completely converted to energy, how much energy would you obtain?
Answers
Answer:
[tex]E=1.62\times 10^{14}\ J[/tex]
Explanation:
Given that,
The mass of the paperclip, m = 1.8 g = 0.0018 kg
We need to find the energy obtained. The relation between mass and energy is given by :
[tex]E=mc^2[/tex]
Where
c is the speed of light
So,
[tex]E=0.0018\times (3\times 10^8)^2\\\\E=1.62\times 10^{14}\ J[/tex]
So, the energy obtained is [tex]1.62\times 10^{14}\ J[/tex].
