a car traveling in a large circle passes by a motorcycle that is traveling in a straight line from North to South. both of their speedometers read 10m/s. which statement below is true? A. The car and the motorcycle have the same speed, but different velocities. B. The car and the motorcycle have the same velocity, but different speeds. C. The car and the motorcycle have the same speed and velocity. D. The car and motorcycle have different speed and different velocity.
A 100 kg ball of lead rests next to a 10 kg rock. Which statement below is true? a. the lead ball and the rock have equal amounts of inertia b. if the lead ball and the rock fell from the same height in a vacuum, the rock would hit the ground first because it is less massive c. on the moon both would have the same mass on earth, but not the same weight as on earth d. because the lead ball has a larger mass than the rock, it will definitely have a larger volume than the rock.
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A
C
I agree with Damon about A but am not so sure about C.
If they have same velocity and speed, they may come into proximity where the motorcycle's path is tangent to the car's circular path, but the car will approach from the side and recede, not "pass by".
C is for the second question
To determine which statement is true, we need to understand the concepts of speed and velocity.
Speed is a scalar quantity that represents how fast an object is moving. It is defined as the distance traveled per unit of time. In this case, both the car and the motorcycle have speedometers reading 10 m/s, indicating that they are both moving at the same speed.
Velocity, on the other hand, is a vector quantity that includes both speed and direction. It specifies the rate at which an object changes its position in a particular direction.
In the given scenario, the car is traveling in a large circle, which means it is constantly changing its direction. Therefore, its velocity is constantly changing as well.
On the contrary, the motorcycle is traveling in a straight line from North to South, which means its direction remains constant. Therefore, its velocity does not change.
Now, let's analyze the options:
A. The car and the motorcycle have the same speed, but different velocities.
This statement is true. Both the car and the motorcycle have the same speed (10 m/s), but different velocities because their directions differ.
B. The car and the motorcycle have the same velocity, but different speeds.
This statement is false because velocity takes both speed and direction into consideration. Since the car is changing direction while the motorcycle is not, their velocities cannot be the same.
C. The car and the motorcycle have the same speed and velocity.
This statement is false because the car and the motorcycle have different velocities due to their different directions of motion.
D. The car and motorcycle have different speed and different velocity.
This statement is true. While the speed of both the car and the motorcycle is the same (10 m/s), their velocities are different due to the car's changing direction.
Therefore, the correct statement is A. The car and the motorcycle have the same speed, but different velocities.