A mouse is sitting on a record player. The mouse is 10 cm away from the center of the record. The record player plays at 45 rpm (revolutions per minute). The mouse runs in place (its position does not change). How fast must it run

       v = 0.4712 m / s       In the opposite direction of the turntable

Explanation:

For this exercise the mouse to remain motionless must run at the same speed as the record player point moves,

Let's use rotational kinematics to find the speed of the record player at the point where the mouse is

          v = w r

Let's reduce the magnitude to the SI system

         w = 45 rpm (2π rad / 1rev) (1 min / 60s) = 4.712 rad / s

         r = 10 cm = 0.10 m

Let's calculate

         v = 4.712 0.10

         v = 0.4712 m / s

In the opposite direction of the turntable

the focus of lesson 1 is newton's first law of motion - sometimes referred to as the law of inertia. newton's first law of motion is often stated as. an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

explanation:

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s