What change would increase the acceleration of the dog sled? (1 point) Responses run the sled up a hill run the sled up a hill remove a dog from the sled remove a dog from the sled add another dog to the sled add another dog to the sled add more mass to the sled
add another dog to the sled
are you correct?
Yes, I am correct. Adding another dog to the sled would increase the total pulling force, which in turn will increase the acceleration of the sled.
Which object will accelerate more if the student exerts an equal amount of force on each object? (1 point) Responses
10 kg box
two 10 kg boxes
The 10 kg box will accelerate more if the student exerts an equal amount of force on each object.
why
The 10 kg box will accelerate more because it has less mass compared to two 10 kg boxes. According to Newton's second law of motion (F = ma), acceleration is directly proportional to the force applied and inversely proportional to the mass of the object. Since the force is the same for both objects and the mass of the single 10 kg box is less than the combined mass of the two 10 kg boxes, the single 10 kg box will experience a greater acceleration.
Solve the system of two linear equations. −3x−4y=−23 3x−5y=5 (1 point) Responses (5, 2) (−5, 2) (5,−2) (−5,−2)
To solve the system of equations:
-3x - 4y = -23
3x - 5y = 5
We can use the method of elimination by adding the two equations together:
(-3x - 4y) + (3x - 5y) = -23 + 5
Simplifying this equation, we get:
-9y = -18
Dividing both sides of the equation by -9, we have:
y = 2
Substituting this value of y back into one of the original equations, let's use the first equation:
-3x - 4(2) = -23
-3x - 8 = -23
Adding 8 to both sides of the equation:
-3x = -15
Dividing both sides of the equation by -3:
x = 5
Therefore, the solution to the system of equations is (x, y) = (5, 2). So, the correct response is (5, 2).