Answers
Answer:
(a) 4.4 m/s²
(b) 27 N
Explanation:
Draw a free body diagram for each block. There are four forces on the sliding block:
Tension force T pulling to the right,
Weight force mg pulling down,
Normal force N pushing up,
and friction force Nμ pulling left.
There are two forces on the hanging block:
Tension force T pulling up,
and weight force mg pulling down.
Sum of forces on the sliding block in the +y direction:
∑F = ma
N − mg = 0
N = mg
Sum of forces on the sliding block in the +x direction:
∑F = ma
T − Nμ = ma
T − mgμ = ma
Sum of forces on the hanging block in the -y direction:
∑F = ma
mg − T = ma
T = mg − ma
(a) Substitute:
mg − ma − mgμ = ma
g − a − gμ = a
g (1 − μ) = 2a
a = g (1 − μ) / 2
Plug in values:
a = (9.8 m/s²) (1 − 0.11) / 2
a = 4.4 m/s²
(b) Substitute:
T − mgμ = mg − T
2T = mg (1 + μ)
T = mg (1 + μ) / 2
Plug in values:
T = (5.0 kg) (9.8 m/s²) (1 + 0.11) / 2
T = 27 N
Related Questions
bumper car A (281 kg) moving +2.82 m/s makes an elastic collision with bumper car B (209 kg) moving +1.72 m/s what is the velocity of car A after the collision (unit = m/s) remember: right is (+), left is (-)
Answers
Answer: V1 = 3.559 - 0.744V2
Explanation: Given that the
bumper car A has
Mass M1 = (281 kg) moving with
Velocity U1 = 2.82 m/s
bumper car B has
Mass M2 = (209 kg) moving with
Velocity U2 = 1.72 m/s
Where U1, U2 are the initial velocity of the two cars
Since the collision is elastic, we will use the formula below,
M1U1 + M2U2 = M1V1 + M2V2
Substitute the values into the formula
281×2.28 + 209×1.72 = 281V1 + 209V2
640.68 + 359.48 = 281V1 + 209V2
1000.16 = 281V1 + 209V2
Make V1 the subject of formula
281V1 = 1000.16 - 209V2
V1 = 1000.16/281 - 209V2/281
V1 = 3.559 - 0.744V2
Therefore, the velocity of car A which
is V1 after the collision will be expressed as V1 = 3.559 - 0.744V2
The strong nuclear force is ?
Answers
Answer: Option B
Explanation:
The nuclear force is the strongest force in the universe. It is much more stronger than all the other forces and is 100 times stronger than the electric force.
The nuclear forces can be defined as the forces generated due to electron and protons in which the electrons have negative charge on it and the protons have positive charge on it.
Due to this force all the atoms and molecules, elements and compounds are held together.
Can someone help me??
A car travels 1026 km in 6 hours. Find its average speed.
Answers
Answer:
171
Explanation:
To work out average speed, you have to do distance divide by time.
1026 divide by 6= 171
I hope that helped you.
What happens when tectonic plates move away from each other? Molten matter cools and sinks towards the core. Lava travels away from the crust and forms the mantle. Molten matter seeps through the crust and forms new land. Lava seeps into the ground through the cracks in the ground.
Answers
why do you think the moon appears to change shape as it revolves around the earth?
Answers
If the ♀️
work on a simple machine equals the output work, the
machine is said to be 100% efficient.
Answer here
Answers
If the input work on a simple machine equals the output work, the
machine is said to be 100% efficient. (This can never actually happen.)
Answer here
Calculating the Volume of a Cone
Try it
Calculate the volume of the cone.
What is the volume of a cone with a height of 27 cm
and a radius of 13 cm? Round your answer to the
nearest tenth.
VE
cm)
27 cm
113 cm
Answers
Answer:
4778.4 cm³
Explanation:
when I jump and land on the surface I exerts a force on the surface and the surface should exert the same amount of force on me, therefore I should be jumping again according to the 3rd law of motion but I don't why is that
Answers
You lose energy when you collide with the surface in sound and heat.
It is also that when you jump on the floor, in order to keep you from going through the floor, the floor needs to put a force that will say 'Hey you can't go through me' that's why we build houses and supports with extra strength to hold us, and all the forces we exert on them.
hope this helps
Which converts mechanical energy to electrical energy?
A. A flashlight
B. An electric motor
C. A generator
D. An electromagnet
Answers
Answer:
c. A Generator
Explanation:
The whole point of a generator is to produce electrical energy. The generator will use a mechanical motor usually running off of gas to produce electricity.
What are pollutants of greatest concern and who is at risk?
Answers
Burning fuel. (Air/global warming)
Toxic waste burried in dirt (living Creatures)
Lights/Electricity (destroyes Birds migration)
Noise (migration on dolphines and other sea mammals)
if san andreas fault slips 2.5 cm each year how far would it separate in 100 years
Answers
Answer:
250cm or 2.5m
Explanation:
using direct variation
the length is = l
the time (year) = t
let k be the constant
so he have:
l=kt
2.5=k× 1
k= 2.5
Now in the next statement the 100 is given but not the length so
l=kt
~ l=k× 100 years
But k = 2.5
so :
l= 2.5×100
l= 250 cm
Hence it will be 250cm or 2.5m at which they will get separated
Explain how reflection and refraction are similar to each other and different from each other.
Answers
Answer:
Reflection is the bouncing back off light rays when it hits a surface whilst refraction is the change in direction if light as it travels from one medium to another.They both need a medium or surface to be able to work
Explanation:
When a wave that is moving through a medium encounters the border of that medium, reflection and refraction, both wave characteristics, take place.
Both refraction and reflection alter the wave's behavior by altering the direction it travels in or the rate at which it moves.
What is Refraction?Refraction is the process by which a wave switches while transitioning from one material to another in physics. As an illustration, waves move more quickly in the open ocean than those in the shallow.
A wave can swing around until it is moving perpendicular to the coastline if it is approaching a beach at an angle because the wave's outer portion goes quicker than its inner portion.
When light strikes a material on a plane, reflection occurs, which is when the light bounces back. Refraction is indeed the technique by which light's path changes when it passes through a substance, bending the light.
This is the primary distinction between refraction and reflection. Usually, mirrors are where this occurrence happens.
To know more about Refraction:
https://brainly.com/question/14760207
#SPJ2
in an elastic collision, both the momentum and the kinetic energy of the system are conserved. Identify which scenario describes an elastic collision.
A) A bullet is shot into a wooden block and becomes embedded (stuck)in the block
B)A girtjumps off the dock into a boat. The boat and the girl begin to move
C)Two billiards balls strike each other and bounce off moving in different directions
D)A female ice skater skates to her partner and he lifts her up. They continue to move as he holds her over his head.
Answers
Answer:
The answer is c. Two billiards balls strike each other and bounce off moving in different directions
Hope this helps
Which letter on the diagram below represents the retina of the eye? A) A B) B C) C D) D
Answers
Answer:
THE ANSWER IS OPTION C.
Can someone help??
The maximum acceleration of a fist in a karate punch is 4200 m/s2. The mass of the
fist is 0.60 kg. If the fist hits a wooden block, what force does the wood place on the
fist?
Answers
Answer:
F = 2520 N
Explanation:
We have,
The maximum acceleration of a fist in a karate punch is 4200 m/s². The mass of the fist is 0.6 kg.
It is required to find the force that the wood place on the fist. Force is given by the product of mass and its acceleration such that,
F = ma
[tex]F=0.6\times 4200\\\\F=2520\ N[/tex]
So, the force of 2520 N is acting on the wood.
Solids in which the atoms have no particular order or pattern are called ___ Solids
Answers
Answer:
Amorphous solids
Explanation:
List the 2 advantages and 2 disadvantages of wind as a source of electricity.
Answers
Answer:
The first 2 advantages of wind a source of electricity is that it provides you wifi and wind. 2 disadvantages of wind as a source of electricity is that to much wind could knock it down or slow down the source of the electricity.
Explanation:
I know this because i read a article on it.
Land masses that move on Earth are called: a. Continents b. Tectonic continents c. Tectonic plates d. Rock Masses
Answers
Answer:
c. tectonic plates
Explanation:
A person is pulled to the right on a sled (total mass of 52.9 kg) across the surface of a frozen pond with a force of 67.7 Newtons so that they move with a constant velocity. What is the force of friction acting on the sled?
Answers
Answer:
67.7 N
Explanation:
Draw a free body diagram of the person on the sled. There are four forces:
67.7 N to the right,
friction force to the left,
weight force down,
and normal force up.
Constant velocity means 0 acceleration.
Sum of the forces in the x direction:
∑F = ma
67.7 N − F = 0
F = 67.7 N
Jack travelled 360 km at an average speed of 80 km/h. Elaine
took 1.5 hours more to complete the same amount of distance.
What was Elaine's average speed for the whole journey?
km/h
Answers
Answer:
Average speed of Elain = 60 km/h
Explanation:
Total Distance covered by Jack = 360km
Average Speed of Jack = 80 km/h
Time taken by Jack to complete his journey = Distance / Average speed = 360 km / 80 km/h
Time taken by Jack to complete his journey = 4.5 hours
As it is given the both Jack and Elain travelled the same amount of distance:
Total distance travelled by Elain = 360 km
It is given that Elain took 1.5 hourse more than Jack to cover the distance, so Time taken by Elain to cover the distance is = 4.5 hours + 1.5 hours = 6 hours
Average speed of Elain = Distance/ time = 360 km / 6 hours
Average speed of Elain = 60 km/h
express the following in metres (1) 52fm (2) 26 Mm (3)12am (4) 69 pm (5) 85 mm
Answers
Answer:
1 - 52x10^-15 m
2 - 12x10^-18 m
3 - 26x10^-3 m
4 - 69x10^-12 m
5 - 0.085 meters
Explanation:
Which of the following data sets has a range of 40? a. {40, 10, 20, 100} c. {40, 10, 20, 50} b. {40, 10, 20, 80} d. {40, 10, 20, 40}
Answers
Answer:
C
Explanation:
To answer this problem, we must identify what range is. Range is the difference between the smallest and largest numbers in a set of data. Remember it can be helpful to order your sets of numbers from least to greatest to help you, but it is not mandatory.
Lets take this information for the data sets provided.
For Set A: 100 - 10 = 90, so this won't work.
For Set C: 50 - 10 = 40, this will work.
We know that set c works, so there is no need to move further.
The answer is letter c
The single invention of the ______ has advanced what we know about the universe more than any other scientific technology. a. Sundial b. Calculator c. Telescope d. Calculator
Answers
Answer: C
Telescope
Explanation: A telescope is an optical device in which scientists ( astronomers) use to view far away distance objects in the universe.
The single invention of the telescope has advanced what we know about the universe more than any other scientific technology. Because with the use of telescope alone, astronomers could view and study many heavenly objects or bodies and many planets in the universe.
The optical instrument makes very far distant objects appear magnified by using an arrangement of lenses or curved mirrors and lenses for clearer viewing of heavenly objects and planets in our universe.
charges can be separated in an isolated system
Answers
Hope this answer is helpful!!!
Mark me as brain lists
Light rays travel along _____ paths. A. curved B. straight C. changing D. unpredictable
Answers
Answer: Straight :)
Explanation:
LIght rays travel in straight paths and it is impossible for them to travel in curved, unpredictable, and changing paths
Which best describes the act of using senses or tools to gather information?
ОООО
creating a hypothesis
making an observation
summarizing the results
recording the measurements
Answers
Answer:
Making an observation
Explanation:
By observing, you can draw qualitative and quantitative data from the subject of observation
What happens during a chemical reaction ?
Answers
The reactants’ bonds break and bonds of the product form.
To calculate the density of an object, which of the following values do you
need to know?
A. Volume
B. Buoyancy
C. Weight
D. Mass
Answers
Answer:
Volume I think
Explanation:
Answer:
A. volume and D. mass
Explanation:
Density is the amount of matter (mass) in a given space (volume).
The density of an object can be found using the following formula:
d=m/v
where m is the mass and v is the volume.
In order to find the density, you must know the mass and the volume of the object.
Therefore, the correct answers are A. volume and D. mass.
Liz has designed a sailboat. She wants to build a prototype of the boat. Liz has $12,000 to spend on the boat. $7,000 of that money is budgeted for wood. Liz needs 500 ft of wood planks.
Assuming that Liz will use only one type of wood for her entire project, which of the following could she use to stay on budget?
A. Marine plywood only.
B. She could use any of these woods listed.
C. Marine plywood of Douglas for only.
D. Marine plywood, Douglas fir, or white oak only
Answers
Answer:
A. Marine plywood only.
Explanation:
give one reason why the energy carries bu sound waves decreases as those sound waves travel through air