Answer: 98 kN/m
Explanation:
Given
Mass of elephant [tex]m=5000\ kg[/tex]
Spring compresses from [tex]1\ m\ (100\ cm) \text{to}\ 50\ cm[/tex]
i.e. change in length is [tex]100-50=50\ cm[/tex]
spring force is given by [tex]kx[/tex]
where k=spring constant
x=change in length
The weight of elephant must be equal to the spring force
[tex]\Rightarrow W=kx\\\Rightarrow 5000\times 9.8=k\times 0.5\\\Rightarrow k=98,000\ N/m\ or\ 98\ kN/m[/tex]
A cyclist travels 21 km in 90 minutes. Calculate, in m s–1 , the speed of the cyclist.
Answer:
35/9 m/s
Explanation:
21 km = 21000 m
90 min = 90*60 s = 5400 s
21000/5400 = 35/9 m/s
Blackie, a cat whose mass is 6-kg, is napping on top of the refrigerator when he rolls over and fall. Blackie has a KE of 90-J just before he lands on his feet on the floor.
How tall is the refrigerator?
To answer this question, you need to understand the law of conservation of energy. Essentially, the law states that energy cannot be created or destroyed; it is always conserved.
Knowing this law, how can we answer this question? Well, let's look at what the question tells us. We know that Blackie was initially at the top of a refrigerator before rolling over and falling to the ground. At ground level, he only has Kinetic energy when he lands. Since we know that he started at the top of the fridge, we know that Blackie started off with potential gravitational energy.
That would make sense, right? Written out as an equation, it'd be:
[tex]U_{g}[/tex] = [tex]K_{E}[/tex]
This follows the law of conservation of energy, as all the potential gravitational energy is converted into Kinetic energy.
Now, we know what energies are converted. What can we do with it? Recall the equation of potential gravitational energy:
[tex]U_{g}[/tex] = [tex]F_{g}[/tex]∆H
[tex]U_{g}[/tex] = mg∆H
Do you see it now? ∆H is the distance that Blackie falls, and since Blackie jumps from the fridge to the ground, ∆H must be the height of the fridge!
Let's start solving for ∆H:
[tex]U_{g}[/tex] = [tex]K_{E}[/tex]
Substitute potential gravitational energy with our equation:
mg∆H = [tex]K_{E}[/tex]
We were given the value of Kinetic Energy:
mg∆H = 90
Isolate ∆H by dividing both sides by mg:
∆H = [tex]\frac{90}{mg}[/tex]
Input values for 'm' and 'g' (m is the mass of Blackie and g is Earth's acceleration)
∆H = [tex]\frac{90}{6*9.80}[/tex]
∆H = [tex]\frac{90}{58.8}[/tex]
∆H = 1.53
The refrigerator is 1.53 meters tall.
And that's it! Let me know if you need me to explain anything I did here.
- breezyツ
A car and a semi-truck are both traveling along a road. Based on Newton's 2nd law, what will happen if both cars apply the same type of brakes at the same time?
Answer: ask god in your prayers
Explanation: im here for the same reason you are
I DONT KNOW THE ANSWER
Answer:
The semi-truck will stop after the car.
Explanation:
It will do that because the semi-truck has more mass than the car.
Why is the magnetic force considered to be an action datance force
A Magnets in de bo exert a force
B. Magnets do not have to touch each other to experience a force.
C. Magnets push each other apan to increase the distance between them.
D Magnets mast be large in sire in onder to eden a force that is strong enough to notice
The _____________ variable is observed, measured, and affected by the independent variable.
Answer: It would be the dependent variable.
Explanation:
The dependent variable is limited and can be affected by the changes and manipulation of the independent variable.
An outside thermometer reads 57°F. What is this temperature in °C? Round your answer to the nearest whole number. 14 49 71 135
Answer:
An outside thermometer reads 57°F. What is this temperature in °C? Round your answer to the nearest whole number.
14
49
71
135
answer is A:14
Explanation:
The temperature of the thermometer which reads 57 °F in degree celsius (°C) to the nearest whole number is 14 °C
Conversion formulaWe can convert from degree celsius (°C) to degree Fahrenheit (°F) with the following equation
°C = 5/9(°F – 32)
How to determine the temperature in degree celsius (°C) Temperature (°F) = 57 °FTemperature (°C) =?°C = 5/9(°F – 32)
°C = 5/9(57 – 32)
°C = 5/9 × 25
°C = 14 °C
Thus, the temperature in degree celsius (°C) of the thermometer is 14 °C
Learn more about conversion:
https://brainly.com/question/2139943
Which of the following are the two factors used to calculate average
speed? *
a. total acceleration and total time
b. velocity and time
c. total distance and total time
d. motion and time
Answer:
i think its its c but im not positive :>
Explanation:
Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.
Answer:
Explanation:
Kamal, Kamala, Krishna invert in the ratio 2 : 3 : 5.
As 2+3+5 =10, their respective share is 2/10, 3/10 and 5/10.
Sum of investment = 30000Rs
Kamal's investment = 30000 * 2/10 = 6,000 Rs
Kamala's investment = 30000 * 3/10 = 9,000 Rs
Krishna's investment = 30000 * 5/10 = 15,000 Rs
