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*****
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
oobleck or anonymous please help
looks good to me.
If you were unsure, maybe you should have showed how you solved the problems.
To find the restoring force on the spring, we can use Hooke's Law, which states that the force exerted by a spring is proportional to its displacement from equilibrium. The equation for Hooke's Law is given by:
F = -kx
Where:
F = Restoring force on the spring
k = Spring constant
x = Displacement from equilibrium
Given that the spring constant k is 16 N/m and the displacement x is 0.2 m, we can substitute these values into the equation to find the restoring force:
F = -(16 N/m)(0.2 m)
F = -3.2 N
Therefore, the restoring force on the spring is -3.2 N. The correct answer is option B.
To find the restoring force on the spring, you can use Hooke's Law, which states that the restoring force is directly proportional to the displacement of the spring from its equilibrium position. The equation for Hooke's Law is F = k * x, where F is the restoring force, k is the spring constant, and x is the displacement.
In this case, the spring constant is given as 16 N-m (or N/m), and the displacement is 0.2 m. Plugging these values into the equation, we get:
F = 16 N/m * 0.2 m = 3.2 N
Therefore, the restoring force on the spring is 3.2 N. So, the correct answer to the first question is B. -3.2N.
For the second question about finding the mass of a box, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration. The equation for this law is F = m * a, where F is the force, m is the mass, and a is the acceleration.
In this case, the force is given as 27 N, and the acceleration is given as 4.0 m/s². Plugging these values into the equation, we can isolate the mass:
m = F / a = 27 N / 4.0 m/s² = 6.8 kg
Therefore, the mass of the box is 6.8 kg. So, the correct answer to the second question is A. 6.8 kg.