B. acceleration.
C. inertia.
D. gravity.
The law of universal gravitation states that any two objects in the universe that have mass, without exception,
A. attract each other.
B. repel each other.
C. combine to provide a balanced force.
D. create friction.
ANswer both
couch has a mass of 55 kg, what is the acceleration of the couch?
O A. 5 m/s2 right
O B. 5 m/s2 left
O c. 1.4 m/s? right
O D. 1.4 m/s2 left
SUBMIT
Answer:
C. 1.4 m/s² right
Explanation:
Apply Newton's second law. Take right to be positive and left to be negative:
∑F = ma
175 N − 100 N = (55 kg) a
a = 1.4 m/s²
The couch accelerates to the right at 1.4 m/s².
To find the acceleration of the couch, use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. The net force is calculated by subtracting the forces applied by the two individuals pushing in opposite directions. By plugging in the given values and solving the equation, the acceleration of the couch is found to be approximately 1.4 m/s² to the right.
To find the acceleration of the couch, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is the difference between the forces applied by Dale and Alex, since they are pushing in opposite directions.
The net force can be calculated as 175 N (force applied by Alex) minus 100 N (force applied by Dale), which equals 75 N. The mass of the couch is given as 55 kg. Plugging these values into the equation, we get:
Net force = mass × acceleration
75 N = 55 kg × acceleration
Dividing both sides of the equation by 55 kg gives us:
acceleration = 75 N ÷ 55 kg ≈ 1.4 m/s²
Since the net force is positive (to the right) and greater than zero, the acceleration of the couch is also to the right. Therefore, the correct answer is 1.4 m/s² right (option C).
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