Q: A 5 kg object is acted upon by two forces: 10 N to the right and 4 N to the left. What is the acceleration of the object?

$$a = 1.2\ \text{m/s}^2$$\ \text{to the right}

Question 1

According to Newton's Second Law of Motion, which of the following equations correctly relates the net force acting on an object to its mass and acceleration?

Accepted Answer

$$F_	ext{net} = m a$$

Question 2

A 4 kg object is acted upon by a net force of 12 N. What is its acceleration?

Accepted Answer

$$a = 3\ 	ext{m/s}^2$$

Question 3

Two identical objects are pushed with equal forces on a frictionless surface. If one object is twice as massive as the other, how does its acceleration compare to the lighter object?

Accepted Answer

It is half as much as the lighter object.

Question 4

A person stands on a scale in an elevator that is accelerating upward. How does the scale reading compare to the person's actual weight?

Accepted Answer

The scale reads more than the actual weight.

Question 5

A 10 kg box is pulled across a frictionless surface with a force of 30 N. What is the acceleration of the box?

Accepted Answer

$$a = 3\ 	ext{m/s}^2$$

Question 6

Which of the following best describes the relationship between force, mass, and acceleration according to Newton's Second Law?

Accepted Answer

For a constant force, increasing mass decreases acceleration.

Question 7

A ball is rolling down a ramp. Which of the following diagrams best represents the ball experiencing a constant net force?

Accepted Answer

The ball's spacing between positions increases uniformly with each time interval.

Question 8

If two forces of 5 N and 7 N act in the same direction on a 2 kg object, what is the acceleration of the object?

Accepted Answer

$$a = 6\ 	ext{m/s}^2$$

Question 9

A 60 kg astronaut pushes off from the wall of a space station with a force of 180 N. What is her acceleration?

Accepted Answer

$$a = 3\ 	ext{m/s}^2$$

Question 10

A car of mass 1000 kg accelerates from rest to $$20\ 	ext{m/s} in 10 $$seconds. What is the average net force applied to the car?

Accepted Answer

$$F = 2000\ 	ext{N}$$

Question 11

A 5 kg object is acted upon by two forces: 10 N to the right and 4 N to the left. What is the acceleration of the object?

Accepted Answer

$$a = 1.2\ 	ext{m/s}^2$$\ 	ext{to the right}

Question 12

A person stands on a scale in an elevator accelerating downward. What does the scale read compared to the person's actual weight?

Accepted Answer

Less than the actual weight.

Question 13

A 2 kg object is moving with a velocity of $$3\ 	ext{m/s}$$ and is brought to rest in $$6\ 	ext{s} by a $$constant force. What is the magnitude of the force?

Accepted Answer

$$F = 1\ 	ext{N}$$

Question 14

Which of the following statements is true regarding the acceleration of an object if the net force acting on it is zero?

Accepted Answer

The object will not accelerate.

Question 15

A 50 kg person stands on a scale in an elevator accelerating upward at $$2\ 	ext{m/s}^2. $$What does the scale read?

Accepted Answer

$$600\ 	ext{N}$$

Question 16

A 3 kg object is acted upon by a net force of 9 N. If the force is doubled, what will be the new acceleration?

Accepted Answer

$$a = 6\ 	ext{m/s}^2$$

Question 17

A 2 kg cart is pushed with a force of 8 N. If friction provides a force of 2 N in the opposite direction, what is the acceleration of the cart?

Accepted Answer

$$a = 3\ 	ext{m/s}^2$$

Question 18

A 70 kg person stands on a scale in an elevator that is in free fall. What does the scale read?

Accepted Answer

Zero.

Question 19

A 5 kg object is at rest on a frictionless surface. Two forces, 10 N to the right and 10 N to the left, act on it. What is the acceleration?

Accepted Answer

$$a = 0\ 	ext{m/s}^2$$

Question 20

A 20 kg box is pulled with a force of 100 N across a rough surface with a frictional force of 60 N. What is the acceleration of the box?

Accepted Answer

$$a = 2\ 	ext{m/s}^2$$

Study Notes: Newton's Second Law of Motion

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