A 50-Newton rightward force is applied to a 25-kg object to accelerate it to the right. The object encounters a friction force of 20 Newtons. Fill in all blanks in the diagram below and determine the magnitude of the acceleration (in m/s/s) of the object. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to determine the acceleration of the object from knowledge of all the individual forces. The following method will assist your solution to the problem.

• Two of the four individual forces (F_app and F_frict) are explicitly stated. The force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s). Since there is no vertical acceleration, the two vertical forces must balance; thus, the normal force is equal to the force of gravity.
• The net force is the vector sum of all the forces. Since all the forces are known, they may be added as vectors to determine the net force (use the link in Hot Link section if necessary).
• The acceleration of the object is found using Newton's second law equation: a = F_net /m. Since both F_net and m are known, plug and chug and you have your acceleration value.

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the individual forces?

How can one determine the acceleration of an object from knowledge of the individual forces?

The cable of a freight elevator applies a 3000-N force to accelerate a 250-kg elevator upward. Fill in all blanks in the diagram below and determine the magnitude of the acceleration (in m/s/s) of the elevator. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to determine the acceleration of the object from knowledge of all the individual forces. The following method will assist your solution to the problem.

• One of the two individual forces (F_tens) is explicitly stated. The force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s).
• The net force is the vector sum of all the forces. Since both forces are known, they may be added as vectors to determine the net force (see the link in Hot Link section if necessary).
• The acceleration of the object is found using Newton's second law equation: a = F_net /m. Since both F_net and m are known, plug and chug and you have your acceleration value.

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the individual forces?

How can one determine the acceleration of an object from knowledge of the individual forces?

A 900-kg rightward-moving car encounters 4500-N of resistive forces as it skids to a stop. Fill in all blanks in the diagram below and determine the magnitude of the acceleration (in m/s/s) of the car. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to determine the acceleration of the object from knowledge of all the individual forces. The following method will assist your solution to the problem.

• One of the three individual forces (F_frict) is explicitly stated. The force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s). Since there is no vertical acceleration, the two vertical forces must balance; thus, the normal force is equal to the force of gravity.
• The net force is the vector sum of all the forces. Since all three forces are known, they may be added as vectors to determine the net force (use the link in Hot Link section if necessary).
• The acceleration of the object is found using Newton's second law equation: a = F_net /m. Since both F_net and m are known, plug and chug and you have your acceleration value.

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the individual forces?

How can one determine the acceleration of an object from knowledge of the individual forces?

A 70-kg skydiver encounters a 490-N air resistance force. Fill in all blanks in the diagram below and determine the acceleration (in m/s/s) of the skydiver. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to determine the acceleration of the object from knowledge of all the individual forces. The following method will assist your solution to the problem.

• One of the two individual forces (F_air) is explicitly stated. The force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s).
• The net force is the vector sum of all the forces. Since both forces are known, they may be added as vectors to determine the net force (use the link in Hot Link section if necessary).
• The acceleration of the object is found using Newton's second law equation: a = F_net /m. Since both F_net and m are known, plug and chug and you have your acceleration value.

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the individual forces?

How can one determine the acceleration of an object from knowledge of the individual forces?

Chuck Wagon applies a 300-N force to accelerate a 30-kg box at 2.5 m/s/s. Fill in all blanks in the diagram below and determine the force of friction (in Newtons) encountered by the box. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to use the acceleration of the object to determine the net force; and then to use the net force to determine the value of an individual force - F_frict. The following method will assist your solution to the problem.

• The mass and acceleration of the object are explicitly stated. The net force can be determined using Newton's second law equation: F_net = m • a.
• One of the four individual forces (F_app) is explicitly stated. The force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s). Since there is no vertical acceleration, the two vertical forces must balance; thus, the normal force is equal to the force of gravity. Now three of the four individual force values have been determined; all that is left to be determined is the F_frict value.
• The net force is the vector sum of all the forces. It has a value (which is the m•a product) and a direction (which is the same direction as the acceleration). The net force tells who wins the tug-of-war between individual forces (that's the direction) and the winning margin in the tug-of-war (that's the value). So if the net force is 30 N, right then the rightward force wins the tug-of-war over the leftward force; and the winning margin is 30 N. That is, the rightward force is bigger than the leftward force by 30 N. Once you have determined the net force by multiplying m•a, determine the friction force by using this principle. Take your time and think about it!

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the mass and acceleration values?

How can one determine the value of an individual force if the net force is known?

A 2-kg pail is attached to a cable and raised upward with a constant speed of 1.5 m/s. Fill in all blanks in the diagram below and determine the tension force (in Newtons) in the cable. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to use the idea of a constant velocity and a balance of forces to determine the value of an individual force - F_tens. The following method will assist your solution to the problem.

• The acceleration of the object is not explicitly stated. The speed is stated, but not the acceleration. The fact that the speed and direction are constant is a clear indication that the acceleration must be 0 m/s/s.
• The net force can now be determined using Newton's second law equation: F_net = m • a. Clearly if the acceleration is 0 m/s/s, the individual forces balance and the net force must be 0 N - consistent with the equation.
• The force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s).
• Since there is a balance of forces, the tension force is equal to the force of gravity. That was easy!!

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the mass and acceleration values?

How can one determine the value of an individual force if the net force is known?

A 2400-kg car is moving at 20 m/s when it slams on the brakes and skids to a stop with a leftward acceleration of 7 m/s/s. Fill in all blanks in the diagram below and determine the force of friction. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to use the acceleration of the object to determine the net force; and then to use the net force to determine the value of an individual force - F_frict. The following method will assist your solution to the problem.

• The mass and acceleration of the object are explicitly stated. The net force can be determined using Newton's second law equation: F_net = m • a.
• None of the individual forces are explicitly stated. But the force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s). Since there is no vertical acceleration, the two vertical forces must balance; thus, the normal force is equal to the force of gravity. Now two of the three individual force values have been determined; all that is left to be determined is the F_frict value.
• The net force is the vector sum of all the forces. It has a value (which is the m•a product) and a direction (which is the same direction as the acceleration). The net force tells who wins the tug-of-war between individual forces (that's the direction) and the winning margin in the war (that's the value). Since there is only one horizontal force in this tug-of-war, it is the outright winner. Under this condition of being the only horizontal force, the friction force is the net force.

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the mass and acceleration values?

How can one determine the value of an individual force if the net force is known?

A 500-kg upward-moving freight elevator nears its destination and accelerates downward at a rate of 1.6 m/s/s. Fill in all blanks in the diagram below and determine the tension force. (Use the approximation that g ~ 10 m/s/s.) ... (Note: Numbers are randomized numbers and likely different from the numbers listed here.)

The big idea in this problem is to use the acceleration of the object to determine the net force; and then to use the net force to determine the value of an individual force - F_tens. The following method will assist your solution to the problem.

• The mass and acceleration of the object are explicitly stated. The net force can be determined using Newton's second law equation: F_net = m • a.
• Neither of the individual forces are explicitly stated. The force of gravity can be determined from the object's mass (see Formula Fix section below; use g = 10 m/s/s).
• The net force is the vector sum of all the forces. It has a value (which is the m•a product) and a direction (which is the same direction as the acceleration). In this problem, the direction of the net force is downward. The net force tells who wins the tug-of-war between individual forces (that's the direction) and the winning margin in the war (that's the value). So if the net force is 200 N, down then the downward force wins the tug of war over the upward force; and the winning margin is 200 N. That is, the downward force is bigger than the upward force by 200 N. Once you have determined the net force by multiplying m•a, determine the tension force by using this principle. Take your time and think about it!

The mass of an object is mathematically related to its weight by the equation:

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

The relationship between net force (F_net), mass (m) and acceleration (a) is expressed by the equation

How can the force of gravity be determined?

How can one determine the net force from knowledge of the mass and acceleration values?

How can one determine the value of an individual force if the net force is known?