When a 8.88 kg mass is placed on top of a vertical spring, the spring compresses 4.54 cm .
Part A
Find the force constant of the spring.
8.88kg*9.81=87.1128 divided by4.54 =19.187N/CM
0.0001918784141 KN/M
IS IT RIGHT? PLS HELP
8.88*9.81/.0454 = 1919 N/m
if you really want kilo Newtons then
1.918 kN/m
To find the force constant of the spring (k), you need to use the formula:
k = (mg) / x
where m is the mass (in kg), g is the acceleration due to gravity (approximately 9.81 m/s^2), and x is the displacement or compression of the spring (in meters).
In this case, the mass is 8.88 kg and the compression is given as 4.54 cm, which needs to be converted to meters.
First, convert the compression from cm to meters:
4.54 cm = 4.54/100 = 0.0454 m
Now, you can calculate the force constant:
k = (8.88 kg * 9.81 m/s^2) / 0.0454 m
k = 87.1128 N / 0.0454 m
k ≈ 1918.78 N/m
So, the correct answer is approximately 1918.78 N/m.
To find the force constant of the spring, we need to use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.
In this case, we are given the mass of 8.88 kg and the displacement of 4.54 cm.
Step 1: Convert the displacement from centimeters to meters.
4.54 cm = 0.0454 m
Step 2: Calculate the gravitational force acting on the mass.
The formula for calculating the force is given by:
Force = mass * acceleration due to gravity
Force = 8.88 kg * 9.81 m/s^2
Step 3: Calculate the force constant of the spring.
The force exerted by the spring is equal to the force due to gravity acting on the mass.
Force = force constant * displacement
Rearranging the formula, we can solve for the force constant:
Force constant = Force / displacement
Let's calculate it:
Force = 8.88 kg * 9.81 m/s^2 = 86.93208 N
Displacement = 0.0454 m
To find the force constant:
Force constant = 86.93208 N / 0.0454 m ≈ 1912.61 N/m
Therefore, the force constant of the spring is approximately 1912.61 N/m.