A force of 15 N to the right is applied to a chair. A frictional force of 15 N is applied in the opposite direction. In which direction will the chair move?
The chair will not move. The applied force of 15 N to the right is balanced by the frictional force of 15 N in the opposite direction. Therefore, there is no net force acting on the chair, so it will not move in either direction.
How much force in Newtons is required to accelerate a shotput weighing 4kg at 21 m/s2
?
To find the force required to accelerate the shotput, we can use Newton's second law of motion:
Force = mass * acceleration
Given:
mass (m) = 4 kg
acceleration (a) = 21 m/s^2
Substituting these values into the equation, we get:
Force = 4 kg * 21 m/s^2
Force = 84 N
Therefore, a force of 84 Newtons is required to accelerate the shotput at 21 m/s^2.
A marathon runner is running with an initial velocity of 3.95 m/s. As the runner approaches the finish line, she increases her velocity to 4.17 m/s. What is the acceleration of the runner approaching the finish line?
To find the acceleration of the runner, we can use the equation:
Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)
Given:
Initial Velocity (u) = 3.95 m/s
Final Velocity (v) = 4.17 m/s
Since the time (t) is not provided in the given information, we cannot calculate the acceleration directly. We need the time interval over which the change in velocity occurred. Without that information, we cannot determine the acceleration of the runner approaching the finish line.
Is –7 + 9 = –9 + 7 true, false, or open?
To determine if the equation –7 + 9 = –9 + 7 is true, false, or open, we can simplify both sides of the equation:
On the left side: –7 + 9 = 2
On the right side: –9 + 7 = –2
So, the equation becomes: 2 = –2
Since 2 does not equal –2, the equation –7 + 9 = –9 + 7 is false.
Is 4x – 3 = 19 true, false, or open?
To determine if the equation 4x - 3 = 19 is true, false, or open, we can solve for x:
4x - 3 = 19
First, we can add 3 to both sides of the equation:
4x = 22
Then, we can divide both sides by 4:
x = 22/4
Simplifying, we get:
x = 11/2
So, the equation 4x - 3 = 19 is true when x = 11/2.
Which of the following is a solution to the equation 16 = 4x – 4?
(1 point)
Responses
–5
–5
–4
–4
5
5
16