1. the applied force on a stationary object is less than the maximum force of static friction. Which of the statements are false

a) the object will move backwards
b) the actual force of static friction will be equal to the applied force
c) the object will remain stationary until the applied force exceeds the maximum force of static friction
d) no kinetic friction involved

2. in projectile motion, how does the total time of flight compare to the time taken to reach the maximum height?

a) time to reach max height is half the total time
b) time to reach the max height is more than half the total time
c) time to reach the max height is less than half the total time
d) depends on the total vertical change in height

Now wait a minute.

If friction wins, you do not move it in any direction.

Again in number two, imagine.
If you caught the ball at the top, the time is all spent getting up. If you tossed the ball off your roof, most of the time would be spent going down. So d)
Time to reach max is half of total indeed when begin and end are at the same height.

1. Let's analyze each statement:

a) The object will move backward.
This statement is false. If the applied force on a stationary object is less than the maximum force of static friction, and there is no other force acting on the object, it will remain stationary. The force of static friction will oppose the applied force and prevent motion.

b) The actual force of static friction will be equal to the applied force.
This statement is false. The force of static friction will only be as large as necessary to oppose the applied force and prevent motion. It will not be equal to the applied force unless the applied force reaches the maximum force of static friction.

c) The object will remain stationary until the applied force exceeds the maximum force of static friction.
This statement is true. As long as the applied force is less than the maximum force of static friction, the object will remain stationary. It will only start to move when the applied force exceeds the maximum force of static friction.

d) No kinetic friction involved.
This statement is true. Kinetic friction is the force that opposes motion between two surfaces in contact when they are sliding. Since the object is stationary in this scenario, there is no kinetic friction involved.

So, the false statements are a) the object will move backward and b) the actual force of static friction will be equal to the applied force.

2. The time to reach the maximum height in projectile motion compared to the total time of flight depends on the total vertical change in height.

d) Depends on the total vertical change in height.
This statement is true. The time taken to reach the maximum height will be different depending on the launch angle and initial velocity of the projectile. It is not necessarily half the total time of flight, nor is it always more than half or less than half. The relationship between the two depends on the specific parameters of the projectile motion.

1. To determine which statements are false, let's analyze each option:

a) The object will move backwards: This statement is false. If the applied force is less than the maximum force of static friction, the object will remain stationary.

b) The actual force of static friction will be equal to the applied force: This statement is true. The force of static friction will always match the applied force until it reaches its maximum value.

c) The object will remain stationary until the applied force exceeds the maximum force of static friction: This statement is true. As long as the applied force is less than the maximum force of static friction, the object will not move.

d) No kinetic friction involved: This statement is false. Once the maximum force of static friction is exceeded and the object starts moving, it will experience kinetic friction.

Therefore, the false statements are option a) "the object will move backwards" and option d) "no kinetic friction involved."

2. The relationship between the total time of flight and the time taken to reach the maximum height in projectile motion depends on the path of the projectile. Let's consider the options:

a) Time to reach max height is half the total time: This statement is false. In most cases, the time to reach the maximum height is not half the total time of flight. It will generally be less than half the total time.

b) Time to reach the max height is more than half the total time: This statement is false based on the explanation above.

c) Time to reach the max height is less than half the total time: This statement is usually true. The time taken to reach the maximum height is typically less than half the total time of flight.

d) Depends on the total vertical change in height: This statement is true. The specific relationship between the time to reach the maximum height and the total time of flight depends on the magnitude of the vertical change in height. Generally, the larger the vertical change, the closer the time to reach the maximum height will be to half the total time.

Therefore, the true statement is option c) "time to reach the max height is less than half the total time," and the final answer is option d) "depends on the total vertical change in height."