Which of the following statements are IMPOSSIBLE? Choose all that apply
1. A pencil exerts a smaller gravitational force upon Neptune than Neptune exerts upon it.
2. A ball moving in a circle had 0 N of net force acting on it.
3. Jill exerted 80 N of force due west on a cart. As a direct result, the cart exerted 80 N of force due west upon Jill.
4. The truck had 4407 J of KE and 764 kg∙m/s of momentum.
5. A box had an acceleration of 4705 m/s2 while a net force of 181 N acted on it.
6. The moving motorcycle had 1331 kg∙m/s of momentum.
4. The truck had 4407 J of KE and 764 kg∙m/s of momentum.
6. The moving motorcycle had 1331 kg∙m/s of momentum.
(Just to clarify, these are the impossible statements)
The statements that are IMPOSSIBLE are:
1. A pencil exerts a smaller gravitational force upon Neptune than Neptune exerts upon it.
2. A ball moving in a circle had 0 N of net force acting on it.
4. The truck had 4407 J of KE and 764 kg∙m/s of momentum.
To determine which statements are impossible, we need to analyze each one individually.
1. A pencil exerts a smaller gravitational force upon Neptune than Neptune exerts upon it.
To analyze this statement, we need to understand the law of universal gravitation, given by the equation F = G * (m1 * m2) / r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.
In this case, Neptune is much more massive than a pencil, so it exerts a much larger gravitational force on the pencil. Therefore, statement 1 is considered impossible.
2. A ball moving in a circle had 0 N of net force acting on it.
In circular motion, there is always a net force acting towards the center of the circle called centripetal force. This force is necessary to maintain circular motion. Therefore, statement 2 is also impossible.
3. Jill exerted 80 N of force due west on a cart. As a direct result, the cart exerted 80 N of force due west upon Jill.
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. This means that if Jill exerts 80 N of force on the cart, the cart exerts 80 N of force back on Jill. Therefore, statement 3 is possible.
4. The truck had 4407 J of KE and 764 kg∙m/s of momentum.
The kinetic energy (KE) of an object is given by the equation KE = (1/2) * m * v^2, where m is the mass of the object and v is its velocity. The momentum (p) of an object is given by the equation p = m * v.
In this case, the given values for KE and momentum are not consistent with each other. Therefore, statement 4 is impossible.
5. A box had an acceleration of 4705 m/s^2 while a net force of 181 N acting on it.
According to Newton's second law of motion, the net force acting on an object is equal to its mass (m) multiplied by its acceleration (a), given by the equation F = m * a. Therefore, we can find the mass of the box by dividing the net force by the acceleration: m = F / a.
If we calculate the mass using the given information (m = 181 N / 4705 m/s^2), we can determine if statement 5 is possible or not.
6. The moving motorcycle had 1331 kg∙m/s of momentum.
Momentum (p) is defined as the product of an object's mass (m) and its velocity (v), given by the equation p = m * v. If the given values for momentum are consistent with the mass and velocity of the motorcycle, then statement 6 is possible.
By applying the principles explained above, you can determine which statements are impossible and which are possible.