PHYSICS MIDDLE SCHOOL

Dale and Alex push on opposite sides of a couch. Dale pushes to the left witha force of 100 N, while Alex pushes to the right with a force of 175 N. If the
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

Answers

Answer 1

Answer:

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.

Answer 2

Answer:

Final answer:

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.

Explanation:

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).

Learn more about Newton's second law of motion here:

brainly.com/question/13447525

#SPJ3

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A force of 265.1 N acts on an object to produce an acceleration of 14.52 m/s^2. What is the mass of the object?

Answers

Answer:

The mass of the object is 18.26kg

Explanation:

We know by Newton's second law we know that a force applied on an object is equal to its mass times the acceleration caused by the force:

$F=ma$

From this equation, solving for the mass:

$m=(F)/(a)$

Plugging in the values:

$m=(265.1N)/(14.52m/s^2)=18.26kg$

The answer is :

18.26

Hope I helped.

Two billiard balls move toward each other on a table. The mass of the number three ball, m1, is 5 g with a velocity of 3 m/s. The mass of the eight ball, m2, is 6 g with a velocity of 1 m/s. After the balls collide, they bounce off each other. The number three ball moves off with a velocity of 5 m/s. What is the final velocity and direction of the eight ball? +8.6 m/s +5.7 m/s –5.7 m/s –8.6 m/s.?

Answers

Answer:

+5.7 m/s

Explanation:

According to the law of conservation of momentum is that the momentum before the collision is equal to the momentum after the collision. In an equation form it would look like this:

M₁V₁+M₂V₂ = M₁V₁'+M₂V₂'

Where:

M₁ = mass of object 1 (kg)

V₁ = velocity of object 1 before the collision (m/s)

V₁' = Final velocity of object 1 after the collision (m/s)

M₂ = mass of object 2 (kg)

V₂ = velocity of object 2 before the collision (m/s)

V₂' = Final velocity of object 2 after the collision (m/s)

According to your problem you have the following given:

M₁ = 5 g = 0.005kg

V₁ = 3 m/s

V₁' = -5m/s (It bounced off so it is going the other direction)

M₂ = 6g = 0.006kg

V₂ = -1 m/s (It is coming from the opposite direction of the 3-ball)

V₂' = ?

So we plug in what we know and solve for what we don't know.

$M_1V_1+M_2V_2 = M_1V_1' + M_2V_2'\n\n(0.005kg)(3m/s)+(0.006kg)(-1m/s) = (0.005kg)(5m/s)+(0.006kg)(V_2')\n\n(0.015kg\cdot m/s)+(-0.006kg\cdot m/s)=(-0.025kg\cdot m/s)+(0.006kg)(V_2')\n\n0.009kg\cdot m/s+0.025kg\cdot m/s = (0.006kg)(V_2')\n\n(0.034kg\cdot m/s)/(0.006kg) = V_2'\n\n5.7m/s = V_2'$