Mass of the dummy m = 75 kg
Net Force on the dummy [tex]F_{net} = -825 N[/tex] since it is given that the force is towards the backside of the car.
Acceleration of the dummy a = ?
Using Newton's 2nd law of motion, we have
[tex]F_{net} = ma[/tex]
-825 = (75)a
Hence, [tex]a = \frac{-825}{75}[/tex]
Acceleration of the dummy is -11 [tex]m/s^{2}[/tex]
The negative sign indicates that the dummy is slowing at a rate of 11 [tex]m/s^{2}[/tex]
Answer:
Acceleration towards rear = 11 [tex]m/s^2[/tex]
Acceleration towards direction of movement of dummy = -11 [tex]m/s^2[/tex]
Explanation:
Mass of dummy = 75 kg
Force acted towards rear of the car = 825 N
We have Force acting on a body = Mass of body * Acceleration of body
Substituting the given values in the above equation we will get
825 = 75 * a
a = 11 [tex]m/s^2[/tex]
So acceleration towards rear = 11 [tex]m/s^2[/tex]
Acceleration towards direction of movement of dummy = -11 [tex]m/s^2[/tex]
Find the length of this regular solid. The total volume is 104 cm3. What is the length of the rectangular prism? cm
Answer: 4 cm
Explanation:
A force of 45 N is exerted on an object, resulting in an acceleration of 5 m/s^2 for the object. What will the objects acceleration be if the force doubles.
Answer: correct answer is 10 m/s
Explanation:
When non-nerve cells become involved in response to signals, which type of receptor goes into action? A. enzyme-linked receptor B.ion-channel linked receptor C. intracellular receptor D. endomembrane receptor. CAN SOMEONE PLZ HELP ME!
The answer is; A.
This occurs for a cell that has no ion channel receptors. These cells have surface receptors that change conformation on the binding by an extracellular ligand on the active site. This change in conformation results in an initiation of a chain cascade of biochemical reactions inside the cell. An example is cells responding to insulin and glucagon hormone that bind on their surface receptors that invokes cell responses that regulate blood sugar levels in the blood.
Every object that has mass attracts every other object with a gravitational force. It has been proven that the size of the gravitational force increases as the objects’ masses increase but graviational force decreases rapidly as the distance between the objects increases.
This statement about matter and its behavior is best classified as a
fairlr accurate one .........
Answer:
It is Law/C.
Explanation:
I did the test. ✔
What is 17.857142 repeating, times 68.6?
it equals 1224.9999412
There are four basic forces in nature: gravity, the electromagnetic force, the strong nuclear force, and the weak nuclear force. Of the four basic forces which acts over the shortest distance?
A gravity
B electromagnet force
C strong nuclear force
D weak nuclear force
D. Weak Nuclear Force.
Weak Force is named thus because it is weak compared to the Strong Force. However, it is responsible for holding particles that are smaller than a Proton. Hence, this is the force that acts over the shortest distance, typically of the order of [tex]10^{-18} m[/tex], which is much less than the diameter of a proton.
Answer:
C - Strong Nuclear force
Bambi the young dear was distracted Buy butterfly and jumped into the road in front of the two vehicles as shown in the diagram below both drivers were distracted and so did not see Bambi and not break or change velocity in any way. Car a is 70 miles per our heading east and is 350 m away from Bambi. Carpet is 50 mph heading west and is 590 feet away from Bambi. Who will hit Bambi first?
Speed of car A is given as
[tex]v_a = 70 mph[/tex]
now we need to convert it into SI units
1 miles = 1609 m
1 hour = 3600 s
now we have
[tex]v_a = 70 *\frac{1609}{3600} = 31.3 m/s[/tex]
now its distance from Bambi is given as
[tex]d_a = 350 m[/tex]
time taken by it to hit the Bambi
[tex]t = \frac{d}{v}[/tex]
[tex]t = \frac{350}{31.3}[/tex]
[tex]t = 11.2 s[/tex]
Now other car is moving at speed 50 mph
so its speed in SI unit will be
[tex]v_b = 50* \frac{1609}{3600}[/tex]
[tex]v_b = 22.35 m/s[/tex]
now its distance from Bambi is given as
[tex]d_b = 590 feet[/tex]
as we know that 1 feet = 0.3048 m
[tex]d_b = 590*0.3048 = 179.83 m[/tex]
now the time to hit the other car is
[tex]t_2 = \frac{179.83}{22.35}[/tex]
[tex]t_b = 8.05 s[/tex]
So Car B will hit the Bambi first
Answer:
Car b
Explanation:
Which of the following describes when heat is transferred as a form of light? Question 1 options: Radiation Conduction Convection Sublimation
the answers going to be radiation it transfers the energy to light
questioned answered by
(jacemorris04)
Hi!
Which of the following describes when heat is transferred as a form of light?
Radiation - "is the transfer of heat energy through space by electromagnetic radiation."
Answer - Radiation
A student is walking along the hallway at 1m/s when the bell rings for class. The student reaches their classes their classroom door in 10 seconds ,now moving at 3m/s. How much did they accelerate
The student accelerated at a rate of 0.2 m/s², calculated using the final and initial velocities, and the time taken to change velocity.
Explanation:To calculate the acceleration of the student moving from 1 m/s to 3 m/s in 10 seconds, we can use the formula for acceleration, which is Δv/Δt, where Δv is the change in velocity and Δt is the time taken to change the velocity.
Here, the initial velocity (u) is 1 m/s, the final velocity (v) is 3 m/s, and the time (t) is 10 seconds. The change in velocity (Δv) is v - u = 3 m/s - 1 m/s = 2 m/s. The time (Δt) is 10 seconds. Therefore, the acceleration (Δv/Δt) is 2 m/s / 10 s = 0.2 m/s².
The student therefore accelerated at 0.2 m/s².
The resources on earth can be used up true or false?
True. Fossil fuels are being used up faster than the earth can produce them.
The cunninghams are moving across the country. Mr.cunningham leaves 2.5 hours before mrs.cunningham. If he averages 40 mph and she averages 65 mph,how long will it take Mrs.cunningham to overtake mr.cunningham?
When she starts out, he is (40x2.5)= 100 miles ahead of her.
She gains (65-40)= 25 miles on him every hour.
It takes her (100/25)= 4 hours to catch up to him.
It will take Mrs. Cunningham 4 hours to overtake Mr. Cunningham.
To determine how long it will take Mrs. Cunningham to overtake Mr. Cunningham, use the following steps:
1. Calculate the distance Mr. Cunningham travels before Mrs. Cunningham starts:
Distance = Speed × Time [tex]\[ \text{Distance} = 40 \text{ mph} \times 2.5 \text{ hours} = 100 \text{ miles} \][/tex]2. Determine the relative speed at which Mrs. Cunningham is gaining on Mr. Cunningham:
Relative speed = Mrs. Cunningham's speed - Mr. Cunningham's speed [tex]\[ \text{Relative speed} = 65 \text{ mph} - 40 \text{ mph} = 25 \text{ mph} \][/tex]3. Calculate the time it takes for Mrs. Cunningham to cover the distance between them at the relative speed:
Time = Distance / Relative speed[tex]\[ \text{Time} = \frac{100 \text{ miles}}{25 \text{ mph}} = 4 \text{ hours} \][/tex]calculate the initial velocity of an object displaced 33 meters while accelerating 8 m/s^2 to a final velocity of 68 m/s how do i figure it out?
Use the equation
[tex]{v_f}^2-{v_i}^2=2a\Delta x[/tex]
The final velocity [tex]v_f[/tex] is 68 m/s, the acceleration [tex]a[/tex] is 8 m/s^2, and the net displacement [tex]\Delta x[/tex] is 33 m, so you can solve for the initial velocity [tex]v_i[/tex]:
[tex]\left(68\,\dfrac{\mathrm m}{\mathrm s}\right)^2-{v_i}^2=2\left(8\,\dfrac{\mathrm m}{\mathrm s^2}\right)(33\,\mathrm m)[/tex]
[tex]{v_i}^2=4096\,\dfrac{\mathrm m^2}{\mathrm s^2}[/tex]
[tex]v_i=64\,\dfrac{\mathrm m}{\mathrm s}[/tex]
To calculate the initial velocity, use the equation Vf^2 = Vo^2 + 2aΔx, where Vf is the final velocity, Vo is the initial velocity, a is the acceleration, and Δx is the displacement. Plug in the given values to find Vo.
Explanation:To calculate the initial velocity of an object displaced 33 meters while accelerating at 8 m/s^2 and reaching a final velocity of 68 m/s, we can use the equation:
Vf^2 = Vo^2 + 2aΔx
Where Vf is the final velocity, Vo is the initial velocity, a is the acceleration, and Δx is the displacement.
Plugging in the given values:
68^2 = Vo^2 + 2(8)(33)
Vo^2 = 4624 - 528
Vo^2 = 4096
Vo = √4096
Vo = 64 m/s
Match the term with the definition. (4 points)
1. Element
2. Atom
3. Particle
4. Phase
a. the basic unit of an element
b. a substance that cannot be broken down into a simpler substance
c. a tiny piece of matter
d. a unique form of matter in which it can exist
Element is is a substance that cannot be broken down into a simpler substance
Atom is the basic unit of an element
Particle a tiny piece of matter
A phase is a unique form of matter in which it can exist
What is the matter?Anything which has mass and occupies spaces is known as matter, mainly there are four states of matter solid liquid gases, and plasma.
These different states of matter have different characteristics according to which they vary their volume and shape.
Unable to be reduced to a simpler substance, an element is a substance.
An element's fundamental unit is the atom, and a particle is a small piece of matter.
An exclusive state of matter is referred to as a phase.
Thus, an Element is a substance that cannot be broken down into a simpler substance, Atom is the basic unit of an element, a Particle a tiny piece of matter, and a phase is a unique form of matter in which it can exist
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The voltage across the secondary winding is 10,000 V, and the voltage across the primary winding is 25,000 V. If the primary winding has 200 coils, how many coils are in the secondary winding?
Answer
80 coils
Explanation
The turn rule of a transformer says that, the amount of voltage induced in the secondary coil is proportional to the number of coil. It is simplified by the ratio:
Np/Ns = Vp/Vs
200/Ns = 25,000/10,000
200 × 10,000 = 25,000Ns
2,000,000 = 25000Ns
Dividing both sides by 25,000,
Ns = 2,000,000/25,000
= 80 coils
Answer:
The answers is 80 Coils
Explanation:
Right on edge
How do I find the direction of the velocity and acceleration ?
The mainly three types of directions exits between velocity and acceleration.
ExplanationThe velocity and acceleration are the vector quantities as having both magnitude and direction. To direction of both factors depends upon the speed. for example, we take a car to observe the direction of these two factors, then there will be no direction when the car is at rest.
When the car moves at uniform velocity then its direction will be forward but there will be no direction of acceleration.
When the car moves with increasing speed continuously, then the direction of velocity and acceleration will be parallel.
When the car is at speed and trying to slow down its speeds, it will create acceleration. In this case, the direction of velocity and acceleration will be in the opposite.
What are the physical properties of gases
Which features are created by wave erosion? Check all that apply.
arches
cliffs
deltas
rills
stacks
Answer;
CliffsArchesStacksExplanation;
Cliffs, Arches and stacks are among the features created by wave erosion.
Cliffs are steep rock faces along the coastline, they tend form along concordant coastlines with resistant rocks parallel to the coast. Arches are formed when a cave in a headland is eroded right through, in other words, the inlet has two openings. Stacks form when the arch collapses a pillar of rock remains behind as a sea stack. Stacks can be found close to cliff, where there is a high wave action.Answer: 1, 2, 5
Explanation:
!!PLEASE ANSWER ASAP!!
you put a screw in a wall stud with a screw driver.
then you put a screw in the wall with an electric screw driver.
which of the following statements is true?
a. less work is done with the electric screw driver.
b. the same work was done, but the electric screw driver increased the rate of work.
c. the same work was done, but the electric screw driver decreased the rate of work.
d. more work was done because the electric screw driver was more powerful.
A screwdriver is used to insert a screw into a wall stud. Then, using an electric screwdriver, you drive into the wall. The identical task was done, but the electric screwdriver sped up the process.
An electric screwdriver is a portable tool that allows the user to screw/ unscrew. It's head is outfitted with a bit holder, that can be magnetic or have a quick-release mechanism. A screwdriver should be a must tool in just about any toolbox. It can be used to manually push screws into a range of surfaces such as walls, wood, metal, or porcelain. It is typically used by hand and turn screws with slotted heads.Therefore, the answer is "Option b".
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The statement which is true about using both a screw driver and an electric screw driver to put a screw in a wall stud is: B. the same work was done, but the electric screw driver increased the rate of work.
Work can be defined as a measure of energy transfer that takes place when an object is moved due to the application of a force along a displacement.
Hence, the work done by an object is the multiplication (product) of the perpendicular force acting on the object and the distance it covers.
Mathematically, work done is given by the formula:
[tex]Work\;done = Force \times displacement[/tex]
Generally, a screw driver and an electric screw driver can be used to perform the same work of put a screw in a wall stud.
However, an electric screw driver has a motor, which makes the speed (work rate) of putting a screw in the wall faster than a screw driver.
Additionally, a screw driver is a mechanical tool and as such it requires more human effort to put a screw in a wall stud, thereby, decreasing the rate of work.
In conclusion, the same work was done by using both a screw driver and an electric screw driver, but the electric screw driver increased the rate of work.
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if your run at 12 m/s for 15 minutes, how far will you go?
HURRY!!!!!!!!!!!
If the macaroni’s mass is 200 grams, what is the density? (Use the volume you calculated in 7a) Be sure to show your work and label all units.
The density of a substance is the ratio of its mass to its volume. So whatever volume you have (call it [tex]V[/tex]), the density [tex]\rho[/tex] is computed by
[tex]\rho=\dfrac{200\,\mathrm g}V[/tex]
The density of the macaroni cannot be calculated without knowing the volume. If volume is available, density can be computed by dividing mass by volume.
Explanation:In the realm of Physics, density is determined by the ratio of mass to volume, typically in units of grams per cubic centimeter (g/cm³). To find the density of an object, you simply divide the mass by the volume. However, in the context of your question, we are not provided with the volume calculated in question 7a.
Without the volume, the calculation of density can't be completed. If we have the volume, the formula to calculate the density would be Density = Mass / Volume. So for example, if the macaroni's volume was 50cm³, then the density would be 200g / 50cm³ = 4g/cm³.
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a rock is dropped from a bridge. what happens to the magnitude of the acceleration and the speed of the rock as it falls?
a) both acceleration and speed increase
b) both acceleration and speed remain the same
c) acceleration increases & speed decreases
d) acceleration remains the same & speed increases
If a rock is dropped from a bridge, its acceleration remains the same (9.8 m/s², the acceleration of gravity on Earth, no matter how heavy the rock is), and its speed increases at the rate of (9.8 meters per second for every second it falls).
The acceleration of the rock remains the same while the speed increases as the rock moves downwards.
The motion of an object dropped from a certain height is affected by Earth's gravitational influence.
The acceleration due gravity on the object will be constant throughout the motion. The direction of this acceleration due to gravity is downwards.The object's speed increases as the object moves downwards and it will eventually become maximum before the object hits the ground.
The direction of the object's speed is always in the direction of the object's motion.Thus, we can conclude that the acceleration of the rock remains the same while the speed increases as the rock moves downwards.
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A physics book is thrown horizontally at a velocity of 5.0 m/s from the top of a cliff 78.4 m high. How long does the book take to reach the bottom of the cliff .
The book's vertical position in the air is
[tex]y=78.4\,\mathrm m-\dfrac12gt^2[/tex]
where [tex]g=9.80\,\frac{\mathrm m}{\mathrm s}[/tex]. It reaches the ground when [tex]y=0[/tex], at a time [tex]t[/tex] such that
[tex]0=78.4\,\mathrm m-\dfrac12gt^2\implies t=4.00\,\mathrm s[/tex]
So it takes the book 4 seconds to reach the bottom. The given initial velocity is irrelevant since it only has a horizontal component; vertically, the book is starting from rest.
if a 5-kg bowling ball is projected upward witha velocity of 2.0 m/s, then what is the recoil velocity of the Earth(mass=6.0×10^24kg)
by the concept of momentum conservation we can say
if net force on a system of mass is ZERO then its momentum will remain conserved
Here a ball is projected upwards so if we take Ball + Earth as a system then total momentum of the system will remain conserved
Initially when ball is on the surface of earth the system has zero momentum and hence we can say after throwing the ball momentum of earth + ball must be zero
now using same equation we can say
[tex]P_{ball} + P_{earth} = 0[/tex]
[tex]m_1v_1 + m_2v_2= 0[/tex]
given that
[tex]m_1 = 5 kg[/tex]
[tex]v_1 = 2 m/s[/tex]
[tex]m_2 = 6 * 10^{24} kg[/tex]
from above equation velocity of earth will be
[tex]v_2 = \frac{m_1 v_1}{m_2}[/tex]
[tex]v_2 = \frac{5*2}{6 * 10^{24}}[/tex]
[tex]v_2 = 1.67 * 10^{-24} m/s[/tex]
so above will be the recoil speed of earth
You've slammed on the brakes and your car is skidding to a stop while going down a 20∘ hill. Identify all the forces acting on the car.
There will be the following forces:
Force of gravity directly down.
The normal force perpendicular to the hill.
The braking force directed uphill.
The frictional force directed uphill.
All components of the force acting on the car are:
• The Normal force perpendicular to the surface of the car.
• The force of gravity in downhill direction.
• The breaking force in the uphill direction.
• The friction force in the uphill direction.
Further Explanation:
Free body diagram is the graphical representation or illustration of all the forces applied on the body with their directions. This helps us to visualize all the applied forces on the body with their directions and make us possible to solve complex problems based on kinematics.
Given:
The inclination of the road is [tex]20^\circ[/tex].
Concept:
The free body diagram is drawn as shown in Figure 1.
The car is moving on incline hill making an angle [tex]20^\circ[/tex] with the plane surface. When sudden break is applied to the car it skids to some distance. As soon as the brakes are applied, the car experiences a friction force due to brakes and starts slowing down.
The friction force offered by the hill is dependent on the normal force which is equal to the component of the weight acting perpendicular to the road.
The coefficient of static friction [tex]\mu[/tex] is depend upon the nature of surface of the irregularities. The friction force acts in the direction opposite to the motion.
The car has its normal force and it is the component of the contact force which is always perpendicular to the surface of the object.
The car has component of the force in the downward direction along the hill due to gravity called as weight. It’s magnitude depend upon the mass of the body and expressed as [tex]mg[/tex]. the term [tex]g[/tex] is called acceleration due to gravity and it has a constant value of [tex]9.81\text{ m/s}^2[/tex].
Therefore, the all the force acting on the car are given below.
• The Normal force perpendicular to the surface of the car.
• The force of gravity in downhill direction.
• The breaking force in the uphill direction.
• The friction force in the uphill direction.
Learn more:
1. A 30kg box being pulled across a carpted floor https://brainly.com/question/7031524
2. Acceleration of a body https://brainly.com/question/9719731
Answer Details:
Grade: Middle school
Subject: Physics
Chapter: Kinematics
Keywords:
Friction, acceleration, slammed, break, car, skidding, net stop, going down, 20degree, hill, components, force, force acting on car, weight, normal.
The sensor in the torso of a crash test dummy records the magnitude znd direction of the net force acting on the dummy.If the dummy is thrown forward with a force of 130.0N while simultandously being hit from the side wigh a force of 4500.0N,what force will the sensor report
Here in the given situation two forces are acting on the dummy from two perpendicular directions
Since force is a vector quantity so we need to add two or more forces by vector addition method
Now here we know that two forces are perpendicular to each other
So we will use Pythagoras theorem
[tex]F_{net} = \sqrt{F_1^2 + F_2^2}[/tex]
given that
[tex]F_1 = 130.0 N[/tex]
[tex]F_2 = 4500.0 N[/tex]
now plug in all in the above equation
[tex]F_{net} = \sqrt{130^2 + 4500^2}[/tex]
[tex]F_{net} = 4501.9 N[/tex]
So the sensor will report net force as 4501.9 N
Why would an object float in water, but sink in rubbing alcohol?
Because water is more dense than the object but rubbing alcohol is less dense than the object
An object floats or sinks based on the densities of the object and the fluid. Water's higher density and surface tension compared to rubbing alcohol enables certain objects to float in it but sink in rubbing alcohol.
Explanation:The object's ability to float or sink in a fluid depends on the densities of the object and the fluid. If the object's average density is less than that of the fluid it will float. This is because the fluid, having a higher density, contains more mass and hence more weight in the same volume. The buoyant force which equals the weight of the fluid displaced is thus greater than the weight of the object. On the other hand, an object denser than the fluid will sink.
Water has a higher density than rubbing alcohol thus objects that can float in water may sink in rubbing alcohol if their density is greater than that of the alcohol. Additionally liquids such as water exhibit properties such as cohesion and surface tension which can support objects denser or heavier than the water to some extent until the surface tension is broken. However the surface tension of rubbing alcohol is significantly lower than that of water affecting the floating capability of the object.
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Why is gold and silver most common metals used in making jewelry
Gold and silver are the metals which are malleable,ductile and lustrous .
They are noble metals , noble metals are not affected by acid , oxygen and atmosphere etc.
Hence gold and silver are suitable for making jewelry.
Help? Will give thanks if right (thank you)
Please Help! Question 2 Unsaved
Which has the most inertia?
Question 2 options:
a sports car going 210 mph around the track
your pet dog/cat/horse/bird/fish moving at their fastest speed
a cruise ship docked in a port
a pebble travelling through space at 90,500,000 km/s
Question 3 Unsaved
What unit must be used when measuring mass?
Question 3 options:
gram
pound
liter
seconds
What unit is used for acceleration?
Question 4 options:
m/s
m/s2
ft/min
none of the above
Question 5 Unsaved
What unit do we use for force?
Question 5 options:
pounds
Galileos
Newtons
none of the above
Question 6 Unsaved
How much force is necessary when Gretzky accelerates a 1.04 kg hockey puck at 987 m/s2?
Question 6 options:
0.01 N
94.9 N
1030 N
none of the above
Question 7 Unsaved
The acceleration of The Munster’s car is 9.71 m/s2 when he applies 5050 N of net force (by way of the engine). What is the mass of his car in kilograms?
Question 7 options:
520 kg
49,000 kg
0.0019 kg
none of the above
Amber applies a net force of 35 N to pull her younger brother (32 kg) in a wagon (3 kg). At what rate does the wagon accelerate?
Question 8 options:
1.09 m/s2
0.91 m/s2
1.00 m/s2
It doesn't accelerate
Question 9 Unsaved
When a car stops suddenly, the groceries in the trunk tend to keep moving
Question 9 options:
backward
forward
to the left
to the right
Question 10 Unsaved
Which of the following defines inertia?
Question 10 options:
The tendency of an object with mass to resist a change in its motion.
The tendency of mass not to resist any change in its motion.
The tendency of a mass-less object to resist a change in its motion.
The tendency of objects to speed up or slow down.
The tendency of an object with a weight to resist a change in its motion.
2. a cruise ship docked in a port
In fact, inertia is the resistance of an object to any change in its velocity/change of its state of motion. The inertia of an object depends only on the mass of the object: the greater the mass, the larger the inertia. In this case, the object with largest mass among the choices is the cruise ship docked in the port, so this is the object with most inertia.
3. gram
Mass represents the quantity of matter inside an object, and it is measured in grams (g). Actually, the SI units of the mass is the kilogram (kg), a multiple of the gram: 1 kg = 1000 g.
4. [tex]m/s^2[/tex]
Acceleration is defined as the rate of change of velocity per unit time:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
The change in velocity, [tex]\Delta v[/tex], is measured in m/s, while the time [tex]\Delta t[/tex] is measured in seconds (s): therefore, the acceleration is measured in
[tex][a]=\frac{[m/s]}{[s]}=[\frac{m}{s^2}][/tex]
5. Newtons
The Newton (N) is the SI unit used for the force. The force is defined as the product between mass (m) and acceleration (a):
[tex]F=ma[/tex]
since the mass is measured in kg and the acceleration in m/s^2, 1 Newton corresponds to
[tex]1 N= 1 kg \frac{m}{s^2}[/tex]
6. 1030 N
Given m=1.04 kg (mass of the hockey puck) and [tex]a=987 m/s^2[/tex] (acceleration of the hockey puck), the force needed to accelerate the puck with this acceleration is given by Newton's second law:
[tex]F=ma=(1.04 kg)(987 m/s^2)=1026 N[/tex]
which corresponds (approximately) to option C) 1030 N.
7. 520 kg
Given [tex]a=9.71 m/s^2[/tex] (acceleration of the car) and F=5050 N (net force applied on the car), we can find the mass of the car by using again Newton's second law:
[tex]m=\frac{F}{a}=\frac{5050 N}{9.71 m/s^2}=520 kg[/tex]
8. 1.00 m/s2
In this case, the net force applied by Amber is F=35 N.
The total mass of the brother+wagon is
[tex]m=32 kg+3 kg=35 kg[/tex]
Therefore, we can find the acceleration of the system by using again Newton's second law:
[tex]a=\frac{F}{m}=\frac{35 N}{35 kg}=1.00 m/s^2[/tex]
9. forward
This is because of the inertia: in fact, the car (and the groceries inside it) is initially moving forward. When it stops, the groceries inside the car tends to continue moving forward: due to their inertia, they tends to continue their motion with constant speed, until they are stopped by an external force.
10. The tendency of an object with mass to resist a change in its motion.
Inertia is exactly this: the tendency of an object with mass to resist a change in its motion. This means that an object at rest tends to stay at rest, while an object in motion tends to keep its speed. The inertia of an object depends only on its mass: the larger the mass, the greater the inertia.
The cheetah can maintain its maximum speed for only 7.5 s. What is the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape? (After 7.5 s the speed of cheetah is less than that of the gazelle.) Answer in units of m.
Final answer:
The minimum distance the gazelle must be ahead of the cheetah to have a chance of escape is 112.5 m.
Explanation:
To find the minimum distance the gazelle must be ahead of the cheetah, we need to calculate the distance the cheetah covers in 7.5 seconds when it reaches its maximum speed.
Using the formula:
Displacement = Initial velocity * Time + (1/2) * Acceleration * Time^2
Since the cheetah starts from rest, its initial velocity is 0 m/s. The acceleration is not given in the question, so we can't calculate the exact distance. However, we can use the example provided, where the cheetah accelerates at 4 m/s², to illustrate the calculation.
Let's assume the cheetah's acceleration is 4 m/s². Plugging in the values:
Displacement = (0 m/s) * (7.5 s) + (1/2) * (4 m/s²) * (7.5 s)^2
Displacement = 0 + (1/2) * 4 m/s² * 56.25 s²
Displacement = 0 + 2 * 56.25 m = 112.5 m
Therefore, the minimum distance the gazelle must be ahead of the cheetah is 112.5 meters.