A spring with a spring constant of 16 N-m is compressed 0.2 m. What is the restoring force on the spring?
A. -1.25N
B. -3.2N
C. -15.8N
D. -80N
My answer is D.
What is the mass of a box that requires a force of 27 N to be accelerated to 4.0 m/s²?
A. 6.8 kg
B. 2.3 kg
C. 31 kg
D. 108 kg
My answer is A.
If someone could check my answers that would be great thank you so much
I hate to post this again but all my posts have been ignored, if no one can check this please let me know, thank you guys
To calculate the restoring force on the spring, you can use the equation F = -kx, where F is the restoring force, k is the spring constant, and x is the displacement of the spring.
Given that the spring constant is 16 N/m and the displacement is 0.2 m, the restoring force can be calculated as follows:
F = -kx
F = -(16 N/m)(0.2 m)
F = -3.2 N
So the restoring force on the spring is -3.2 N. Therefore, your answer should be B, not D.
To calculate the mass of the box, you can use Newton's second law of motion, which states that F = ma, where F is the force, m is the mass, and a is the acceleration. Rearranging the equation, you get m = F/a.
Given that the force is 27 N and the acceleration is 4.0 m/s², the mass can be calculated as follows:
m = F/a
m = (27 N) / (4.0 m/s²)
m ≈ 6.8 kg
So the mass of the box is approximately 6.8 kg, which means your answer, A, is correct.
In summary, you got the second question correct but the first question incorrect. The correct answers are:
1. The restoring force on the spring is -3.2 N (B).
2. The mass of the box is approximately 6.8 kg (A).
To determine the restoring force on a spring, you can use Hooke's Law, which states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position. The formula for Hooke's Law is:
F = -kx
Where F represents the restoring force, k is the spring constant, and x is the displacement of the spring from its equilibrium position.
In this case, the spring constant (k) is given as 16 N-m, and the displacement (x) is given as 0.2 m. Plugging these values into the formula, we get:
F = -16 * 0.2
F = -3.2 N
Therefore, the correct answer is option B, -3.2N.
To determine the mass of a box given its acceleration and the force applied, you can use Newton's second law of motion, which states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration. The formula for Newton's second law is:
F = ma
Where F represents the force, m is the mass, and a is the acceleration.
In this case, the force (F) is given as 27 N, and the acceleration (a) is given as 4.0 m/s². Plugging these values into the formula, we can solve for the mass (m):
27 = m * 4.0
Dividing both sides of the equation by 4.0, we get:
m = 27 / 4.0
m ≈ 6.75 kg
Rounding to the nearest tenth, the mass of the box is approximately 6.8 kg. Therefore, the correct answer is option A, 6.8 kg.